Answer:
c.) Congruent
Step-by-step explanation:
If two angles are vertical they are also congruent.When two lines intersect to make an X, angles on opposite sides of the X are called vertical angles. These angles are equal, and here's the official theorem that tells you so. Vertical angles are congruent: If two angles are vertical angles, then they're congruent. (Hope This Helps)
Find the value of x using angle properties & the measure of
Answer:
15.
[tex]x = 20[/tex]
16.
[tex]\angle BFH[/tex] = [tex]100\textdegree[/tex]
[tex]\angle CBD[/tex] = [tex]100\textdegree[/tex] (if needed)
-------------------------------------------------------------------
17.
[tex]x = 7[/tex]
18.
[tex]\angle BFH[/tex] = [tex]68\textdegree[/tex]
Step-by-step explanation:
15. The two following angles, which is [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex], are Corresponding Angles. Write an expression by using the following measurements from [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex]. Then, solve the expression for the value of [tex]x[/tex]:
[tex]\angle CBD[/tex] = [tex]5x[/tex]
[tex]\angle BFH[/tex] = [tex]3x + 40[/tex]
[tex]5x = 3x + 40[/tex]
Solve for [tex]x[/tex]:
[tex]5x = 3x + 40[/tex]
[tex]5x - 3x = 3x - 3x + 40[/tex]
[tex]2x = 40[/tex]
[tex]\frac{2x}{2} = \frac{40}{2}[/tex]
[tex]x = 20[/tex]
16. After you have the value [tex]x[/tex] use it to find the actual measurements of both [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex], by applying [tex]x[/tex] to the following expressions from both [tex]\angle CBD[/tex] and [tex]\angle BFH[/tex] and solve them:
-The value of [tex]x[/tex]:
[tex]x = 20[/tex]
-Solve for [tex]\angle CBD[/tex]:
[tex]\angle CBD[/tex] = [tex]5x[/tex]
[tex]5(20)[/tex]
[tex]100[/tex]
-The actual measurement of [tex]\angle CBD[/tex]:
[tex]\angle CBD[/tex] = [tex]100\textdegree[/tex]
-Solve for [tex]\angle BFH[/tex]:
[tex]\angle BFH = 3x + 40[/tex]
[tex]3(20) + 40[/tex]
[tex]60 + 40[/tex]
[tex]100[/tex]
-The actual measurement of [tex]\angle BFH[/tex]: (if needed)
[tex]\angle BFH[/tex] = [tex]100\textdegree[/tex]
----------------------------------------------------------------------------
17. The two following angles, which is [tex]\angle BFE[/tex] and [tex]\angle DBF[/tex] are Alternate Interior Angles .Write an expression by using the following measurements from [tex]\angle BFE[/tex] and [tex]\angle DBF[/tex]. Then, solve the expression for the value of [tex]x[/tex]:
[tex]\angle BFE[/tex] = [tex]16x[/tex]
[tex]\angle DBF[/tex] = [tex]4x + 84[/tex]
[tex]16x = 4x + 84[/tex]
-Solve for [tex]x[/tex]:
[tex]16x = 4x + 84[/tex]
[tex]16x - 4x = 4x - 4x + 84[/tex]
[tex]12x = 84[/tex]
[tex]\frac{12x}{12} = \frac{84}{12}[/tex]
[tex]x = 7[/tex]
18. After you have the value [tex]x[/tex] use it to find the actual measurement of [tex]\angle DBF[/tex], by applying [tex]x[/tex] to the expression from [tex]\angle DBF[/tex] and solve it and find the actual measurement of an angle that is not labeled, which is [tex]\angle BFH[/tex]:
-The value of [tex]x[/tex]:
[tex]x = 7[/tex]
Solve for [tex]\angle DBF[/tex]:
[tex]\angle DBF[/tex] = [tex]4x + 84[/tex]
[tex]4(7) + 84[/tex]
[tex]28 + 84[/tex]
[tex]112[/tex]
-The actual measurement of [tex]\angle DBF[/tex]:
[tex]\angle DBF[/tex] = [tex]112\textdegree[/tex]
-Since both [tex]\angle DBF[/tex] and [tex]\angle BFH[/tex] are supplementary (two angles that equals to [tex]180\textdegree[/tex]), and you want to find the actual measurement of [tex]\angle BFH[/tex], Use the measurement of [tex]\angle DBF[/tex] and subtract it from [tex]180\textdegree[/tex]:
[tex]\angle DBF - 180\textdegree[/tex]
[tex]112\textdegree - 180\textdegree = 68\textdegree[/tex]
-The actual measurement of [tex]\angle BFH[/tex]:
[tex]\angle BFH[/tex] = [tex]68\textdegree[/tex]
During 30 minutes on the treadmill, LaToya burned 20 calories per minute. What is the rate of change of the function that represents this situation?
0 10 calories per minute
0 20 calories per minute
0 30 calories per minute
0 50 calories per minute
The rate of change is obviously that term that describe the change over a certain period. In this problem, we are given with the condition that LaToya is able to burn 20 calories per minute. Therefore, the rate of change is 20 calories per minute.
\
Answer:B
Step-by-step explanation:20 calories per minute
a) Solve x+x+x=54
b) Solve [tex]\frac{y}{5}[/tex] = 7
c) Solve 4t+6= 24
How to answer
a) x= (insert answer here)
b) y= (insert answer here)
c) t= (insert answer here)
Please!!!
a) x= 54÷3 = 18
b) y= 7×5 = 35
c) t= (24-6)÷4 = 4.5
Answer:
wfs
Step-by-step explanation:
What is the ratio for the surface areas of the rectangular prisms shown below,
given that they are similar and that the ratio of their edge lengths is 8:5?
8
24
5
15
16
10
A. 512:125
B. 25:64
C. 64:25
D. 125:512
The value of the ratio for the surface areas of the rectangular prisms is,
⇒ 704 : 275
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
For large rectangular prism,
Lenght = 24
Width = 16
Height = 8
And, For small rectangular prism,
Lenght = 15
Width = 10
Height = 5
Hence, the surface areas of the large rectangular prisms is,
⇒ SA = 2lw + 2lh + 2hw
⇒ SA = 2 (24 x 16 + 24 x 8 + 8 x 16)
⇒ SA = 2 (384 + 192 + 128)
⇒ SA = 2 (704)
⇒ SA = 1408
the surface areas of the small rectangular prisms is,
⇒ SA = 2lw + 2lh + 2hw
⇒ SA = 2 (15 x 10 + 15 x 5 + 10 x 5)
⇒ SA = 2 (150 + 75 + 50)
⇒ SA = 2 (275)
⇒ SA = 550
Hence, The value of the ratio for the surface areas of the rectangular prisms is,
⇒ 1408 : 550
⇒ 704 : 275
Learn more about the cuboid visit:
https://brainly.com/question/26403859
#SPJ7
Sneha works two part-time jobs. One job is at a tutoring company that pays $19 an hour, and the other is pumping gas for $11.50 an hour. Between the two jobs, Sneha wants to earn at least $310 a week. Let x be the number of hours she works at the tutoring company and let y be the number of hours she works pumping gas. Write an inequality that models this situation.
Answer:
[tex]19x + 11.5y \geqslant 310[/tex]
19x+11.5≥310 is the inequality that models this situation.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
Given that Sneha works two part-time jobs
One job is at a tutoring company that pays $19 an hour,
Let x be the number of hours she works at the tutoring company
The other is pumping gas for $11.50 an hour
let y be the number of hours she works pumping gas.
Sneha wants to earn at least $310 a week
We have to find the inequality that models this situation.
19x+11.5≥310
Hence, 19x+11.5≥310 is the inequality that models this situation.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
11855.3657 rounded to the nearest hundredth
Answer:
11855.37
Step-by-step explanation:
Round up because the number on right was 5.
Answer:
11855.37
Step-by-step explanation:
The 6 place value in 11855.3657 is hundredth so then use the 5
that behind 6 and make 6 go up an number. After that take away 5
and 7. So then your answer will be 11855.37 :)
(a + b)(a 2 - ab + b 2)
Answer:
a³ + b³
Step-by-step explanation:
Given
(a + b)(a² - ab + b²)
Each term in the second factor is multiplied by each term in the first factor, that is
a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis
= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms
= a³ + b³
Answer:
a^3 + b^3 ("the sum of two cubes")
Step-by-step explanation:
If you want to express exponentiation please use the symbol " ^ ": a^2.
(a + b)(a^2 - ab + b^2) is a "special product" that you should learn, even though you can multiply out these two factors using the Distributive Property of Multiplication. Remember this: (a + b)(a^2 - ab + b^2) = a^3 + b^3, which is "the sum of two cubes."
Nicole wants to replace a glass window in her restaurant. The window is in the shape of a square. It’s side lengths are 11 feet. Suppose glass cost $5 for each square foot. How much will the glass cost to replace the window
Answer:
275
Step-by-step explanation:
ANSWER BOTH thanksss
what's the solution of 2x/5-x/2=40?
what's the solution of 1.4-0.04x=5.20?
Answer:
x=-400
x=-95
Step-by-step explanation:
They are negative because a negative times a negative is a positive.
Please help me i beg of you!!!!
Answer:
-4 & -6, 1 & 5, 3 & 5
Step-by-step explanation:
on the first play of a game the eagles running back lost 3 yards. on their next play the quarterback was sacked for a loss of 14 yards find the total yards in these 2 plays.
Answer:
A loss of yardage is generally considered to be a negative gain. That is the total gain in yardage for the two plays is
-3 + (-4) = -7= 7 total yards lost.
The total yards in these 2 plays is -17..
What is gain and loss?A gain is an increase in something whereas a loss is when something is decreased.
Since,A loss of yardage is generally considered to be a negative gain.
Now it is given that,
The first play of a game the eagles running back lost 3 yards.
Therefore, Lost in the first play of a game = -3
The next play the quarterback was sacked for afor a loss of 14 yards
Therefore, Lost in the next play of a game = -14
So, total yards in these 2 plays = -3 + (-14)
= -17.
Hence,The total yards in these 2 plays is -17.
To learn more about yards:
https://brainly.com/question/18724767
#SPJ2
Find the domain and range of the relation and determine whether it is a function.
A. domain: positive integers; range: positive integers; No, it is not a function.
B. domain: x>-0; range: y>-2; No, it is not a function.
C. domain: all real numbers; range: all real numbers; Yes, it is a function
D. domain; x>-2; range: y>0; Yes, it is a function
Answer: D. domain; x>-2; range: y>0; Yes, it is a function
Step-by-step explanation:
The difference of a number x and 15 is no less than 11
Answer:
x = 4; 15 - x > 11
Step-by-step explanation:
Step 1: set up equation
15 - x = 11
- x = 11 - 15
- x = - 4
x = - 4 ÷ - 1
x = 4
For inequality:
15 - x > 11
What is the mistake made in this algebra problem?
Answer:
C
Step-by-step explanation:
They subtracted 4x when combining like terms, but they should have added it because it is a positive number. Had the term been -4x that would have been correct. -2x+4x should be 2x instead of -6x.
What is the equation of the line that has a slope of -4 and goes through (-1,6)?
Answer:
y = - 4x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4, thus
y = - 4x + c ← is the partial equation
To find c substitute (- 1, 6) into the partial equation
6 = 4 + c ⇒ c = 6 - 4 = 2
y = - 4x + 2 ← equation of line
Answer:
y = - 4x + 2
Step-by-step explanation:
A train travels at 47 miles per hour. Which equation
represents the distance, d, that the train will travel
in t hours?
A d = 47+t
B t = 47 +d
d = 47t
D
t=47d
Answer:
d
Step-by-step explanation:
I think its d but I'm not quite sure
Which statements about the local maximums and minimums for the given function are true? Choose three options. Over the interval [1, 3], the local minimum is 0 Over the interval [2, 4], the local minimum is –8. Over the interval [3, 5], the local minimum is –8. Over the interval [1, 4], the local maximum is 0. Over the interval [3, 5], the local maximum is 0
Answer:
ii) Over the interval [2, 4], the local minimum is at -8
iii) Over the interval [3, 5], the local minimum is at -8
iv) Over the interval [1, 4], the local maximum is at 0
Step-by-step explanation:
The graph of the function is attached below.
The local minimum is the minimum point within a specified range while the local maximum is the maximum within a specified range.
i) We can see from the graph that within [1, 3] the local minimum is at -6, hence the first option is wrong.
ii) Over the interval [2, 4], the local minimum is at -8, hence option 2 is correct
iii) Over the interval [3, 5], the local minimum is at -8, hence option 3 is correct
iv) Over the interval [1, 4], the local maximum is at 0, hence option 3 is correct
v) Over the interval [3, 5], the local maximum is at infinity, hence option 5 is not correct
Answer:
B, C, D
Step-by-step explanation:
Hope this helps!
I don’t know how to solve for p.
Answer:
p=12
Step-by-step explanation:
DBC = 180
ABE = 180
ABC + DBA = 180
ABC = (5p -28)
DBA + (12p -4)
CBD = ABC + DBA = 180
-------------------------------------------------
180 = (5p - 28) + (12p + 4)
180 = 17p - 24
204 = 17p
12 = p
p = 12
------------------------------------------------------
180 = (5(12) - 28) + (12(12) +4)
180 = 60 - 28 + 144 +4
180 = 180
3) Evalute the expression
-142-15
Answer:
Subtract 15 from 142. -157
Step-by-step explanation:
Answer:-157
Step-by-step explanation:
When you are subtracting from negative numbers number get higher
Can somebody help me?
Answer:
for this qastion u got use the valume of this proplem.
Step-by-step explanation:
Answer:
i'm not sure but i think it is 27,502
Step-by-step explanation:
multiply the first three number to get the volume then multiply that by the density
Please help with this math problem! I will mark brainliest!! Tysm!
The answer is D
Hope this helps
Answer: D (-525)
Step-by-step explanation:
2.5 years of profit
and a beginning amout is -1312.5
re-wright as an equation-
y×2.5=1312.5
312.5 ÷ 2.5 = -525
y =-525
so the answer is D :)
can someone please help . i don’t get what they mean by labeling it e
Answer:
The context suggests that they want you to label the intersect point of the two circles above c as e and compare the length between those two and the line between a and d
Betty charges a float fee of $8.00 for babysitting plus $6.00 per hour. Write an equation
for the total cost to hire Betty
help please:) i will appreciate it a lot
Answer:
Point c
Step-by-step explanation:
Hope this helps
Answer:
Step-by-step explanation:
What is the distance for A(6,0), B (-4,5)
Answer:
[tex]5\sqrt{5}[/tex]
Step-by-step explanation:
The distance formula states that [tex]D(x_{1} ,y_{1})(x_{2},y_{2} )=\sqrt{(x_{2} } -x_{1} )^2+(y_{2}-y_{1} )^2\\[/tex]
We plug in our points, (6,0) and (-4,5), and compute.
[tex]\sqrt{(-4-6)^2+(5-0)^2} \\\sqrt{(-10)^2+5^2} \\\sqrt{100+25} \\\sqrt{125} \\5\sqrt{5}[/tex] (Make sure you see why I put parentheses around the -10 in (-10)^2. -x^2 and (-x)^2 are not the same) (Also here is why the simplification of the radical works)
[tex]\sqrt{125} =\sqrt{5^2*5} =\sqrt{5^2} *\sqrt{5} =5*\sqrt{5} =5\sqrt{5}[/tex]
The * stands for multiplication.
20. Two collinear rays that do not intersect? How would I draw this?
Answer:
Two collinear rays are parallel to each other.
Step-by-step explanation:
Two collinear rays parallel to each other, and they are on the same plane. Thus they do not meet even when extended till infinity.
An example of collinear rays is when you draw two parallel rays on a plain paper placed on an horizontal surface.
Your drawing should look like what is attached to this answer.
Yes, two collinear rays that do not intersect along with the figure attached at he end.
To draw two collinear rays that do not intersect, you can follow these steps:
1. Start by drawing a straight line segment. This will be the common line for the collinear rays.
2. Choose a point on one end of the line segment. This will be the starting point of the first ray.
3. Draw a line extending from the chosen point, in the same direction as the line segment, but do not let it intersect the line segment.
4. Choose another point on the other end of the line segment. This will be the starting point of the second ray.
5. Draw a line extending from the second point, also in the same direction as the line segment, but make sure it does not intersect the line segment or the first ray.
Learn more about Collinear line here:
https://brainly.com/question/10712488
#SPJ6
What is 5-8|-2n|=-75? And I know it is not n=5 or -5 Please Help!
Answer:
n = -5
I think the answer is -5, because:
The last number in the operation has a negative sign.
This can be a reason that it is-5.
Hope it helps!
A man walks (12x^2+11x+2) km for (3x+2) hours. What is his speed per hour?
Step-by-step explanation:
Hey there!
Distance = 12x^2+11x+2.
And Time = 3x+2 hours.
Now;
[tex]speed = \frac{distance}{time} [/tex]
Put all values.
[tex]s = \frac{12 {x}^{2} + 11x + 2}{3x + 2} [/tex]
Use mid term factorization is numerator and simplify them to get answer.
[tex]s = \frac{12 {x}^{2} + (8 + 3) x+2 }{3x + 2} [/tex]
[tex]s = \frac{12 {x}^{2} + 8x + 3x + 2 }{3x + 2} [/tex]
[tex]s = \frac{4x(3x + 2) + 1(3x + 2)}{(3x + 2)} [/tex]
[tex]s = \frac{(4x + 1)(3x + 2)}{(3x + 2)} [/tex]
[tex]s = (4x + 1)[/tex]
Therefore the speed is (4x+1)/hr.
Hope it helps..
Find the slope of the line that passes through the two points.
(12,-5) and (10,-4)
Given parameters:
First point = (12, -5)
Second point = (10, -4)
Unknown:
Slope of the line = ?
Slope is simply the vertical rise divided by the horizontal distance.
Slope = [tex]\frac{Rise }{horizontal distance}[/tex]
Simply to find slope;
Slope = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
First point = (12, -5), x₁ = 12 and y₁ = -5
Second point = (10, -4), x₂ = 10 and y₂ = -4
Input the parameters:
Slope = [tex]\frac{-4 -(-5)}{10 - 12}[/tex]
= [tex]\frac{-4 + 5}{-2}[/tex]
= - [tex]\frac{1}{2}[/tex]
The slope of the line is -[tex]\frac{1}{2}[/tex]
1. Find the GCF of 8 and 12.
List the factors of 8.
List the common factors.
Find the GCF of 15 and 20.
Math
Step-by-step explanation:
8-1,2,4,8
12-1,2,3,4,6,12
15-1,3,5,15
20-1,2,4,5,10,20
