Answers
Answer:
[tex]\displaystyle 70° = m\angle{1}[/tex]
Step-by-step explanation:
Consecutive Interiour Angles are supplementary, so set both expressions equivalent to one hundred eighty degrees:
[tex]\displaystyle 180° = [9x + 38]° + [6x + 22]° \hookrightarrow 180° = [60 + 15x]° \hookrightarrow \frac{120}{15} = \frac{15x}{15} \\ \\ 8 = x \\ \\ \\ [6[8] + 22]°; [48 + 22]° \\ \\ 70° = m\angle{4}[/tex]
As you can see, we plugged the x-value into the expression for the fourth angle because if you recall, you can tell that angles [tex]\displaystyle 1\:and\:4[/tex]are vertical angles, and accourding to the Vertical Angles Theorem, these angles are considered congruent, therefore seventy degrees is also the measure of the first angle.
I am joyous to assist you at any time.
Related Questions
Helppppp PLZZZZZZZZZZZZZZZZZZZZZZ i need help
Answers
Answer/Step-by-step explanation:
A) The temperature in Chicago could be -10*F because -10 is to the right of -13 on the number line.
Higher Temperatures -->
o----------->I
I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I---I
-13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
[tex]\sf\:Q.\:Show \: that \: there \: is \: no \: positive\:integer[/tex]
[tex]\sf\:n \: for \: which \:\sqrt{n - 1} \: + \:\sqrt{n + 1}\:is[/tex]
[tex]\sf\: rational.[/tex]
can u help me pls I need the answer now .
Answers
Answer:
m<ACB = 60°
Step-by-step explanation:
B is a right angle, so its 90°
180-150=30°
180-90=90°
90+30= 120°
180-120= 60°
30+60+90= 180°
ASAP! please help, thanks
Answers
Answer:
d should be correct
Step-by-step explanation:
prove me wrong
Steve is creating a web page. He starts with a font of 5 9/10 points and decreases it by 1/2. He decreases it again by 6/10 points. Steve then realizes that the font is to small to read easily and increases it by 1 4/5 points. Which is the best estimate of the font's final size?
Answers
Answer:
6 3/5 points
Step-by-step explanation:
Steve is creating a web page.
Step 1
He starts with a font of 5 9/10 points and decreases it by 1/2.
Hence: Current font
= 5 9/10 - 1/2
= 5 + ( 9/10 - 1/2)
Lowest common denominator
= 10
= 5 + (9 - 5/10)
= 5 + 4/10
= 5 + 2/5
= 5 2/5 points
Step 2
He decreases it again by 6/10 points.
Current fonts
= 5 2/5 - 6/10
= 5 + ( 2/5 - 6/10)
Lowest common denominator
= 10
= 5 + (4 - 6/10)
= 5 + (-2/10)
= 5 - 1/5
= 4 4/5 points
Step 3
Steve then realizes that the font is to small to read easily and increases it by 1 4/5 points.
New font
= 4 4/5 points + 1 4/5 points
Lowest common denominator = 5
= 4 + 1 + (4/5 + 4/5)
= 5+ ( 4 + 4/5)
= 5 +(8/5)
= 6 3/5 points
The best estimate of the font's final size is 6 3/5 points
The cost for the company to ship the boxes varies indirectly with the number of boxes being shipped. If 25 boxes are shipped at once, the cost will be $10 per box.
Answers
Solve the following compound inequality
Answers
Answer:
i believe your answer is correct
Step-by-step explanation:
Billy reads 75 pages of a novel in 50 minutes. At this rate, how many hours will billy spend reading the entire 350-page novel?
Answers
Answer:
8hours 45minutes
WORKING OUT
75÷50=1.5
so 1 page would take 1.5 minutes
1.51 x 350= 525 minutes
8.75 hours
Do these pairs of values (x and y) represent two quantities that are
proportional?
A. No, because not all of the pairs represent the same ratio.
B. Yes, because the ratios
2/5 and 6/15 are equal.
C. No, because the y-values are not increasing at a constant rate.
D. Yes, because the ratios are all positive.
Answers
Answer:
A. No, because not all of the pairs represent the same ratio
In AUVW, mZU = (92 – 8), m_V = (2x + 2)", and m_W = (3x + 4)
Find m2V.
Answers
Answer:
[tex]m\angle V=30^\circ[/tex]
Step-by-step explanation:
Angles in a Triangle
The sum of the angles in a triangle is 180°. We are given the measure of all angles in the triangle:
[tex]m\angle U=9x-8[/tex]
[tex]m\angle V=2x+2[/tex]
[tex]m\angle W=3x+4[/tex]
Thus:
9x - 8 + 2x + 2 + 3x + 4 = 180
Simplifying:
13x - 2 = 180
Adding 2:
13x = 182
Dividing by 13:
x = 182/13 = 14
x = 14
Now we calculate:
[tex]m\angle V=2x+2=2*14+2=28+2 =30[/tex]
[tex]\mathbf{m\angle V=30^\circ}[/tex]
What is the approximate area of the circle shown below? Please help and thank you
A. 11.6 ft2
B. 172 ft2
C. 23.2 ft2
D. 43 ft2
Answers
Answer:
D
Step-by-step explanation:
A = (pi)(r)^2
A = (3.14)(3.7)^2
A= ~43
Answer:
d. 43
Step-by-step explanation:
4 • (6 – 4) 2 ÷ 2
Cary says the value of this expression is 40. Is he right? If not, give the correct answer
ez question, just kinda distracted and need to get by it.
Answers
Answer:
Cary is wrong
Step-by-step explanation:
4* (6-4)= 4* 2=8
I think it is saying (8*2) divided by to, which in that case is 8,
but if it is asking 8 (2/2) then that would also be 8 I believe. I really hope this is correct and you have a great day :)
Answer:
Cary is inncorrect. It is 4.
please help me find the answer
Answers
Answer:
B. Substitution Method
Step-by-step explanation:
You already have what "y" equals, so you can substitute that in for the other equation on top.
Daniel found 9 cents in his backpack, 89 cents in the couch, and 2 dollars and 5 cents in the drawer. What was the total amount of money Daniel found?
Answers
Answer:
303 cents.
Step-by-step explanation:
Daniel found 9 cents in his backpack, 89 cents in the couch, and 2 dollars and 5 cents in the drawer
We know that, dollar is equal to 100 cents
2 dollars = 200 cents
It means, Daniel found 9 cents in his backpack, 89 cents in the couch, and 200 cents and 5 cents in the drawer.
Price = 9+89+200+5
= 303 cents
Hence, Daniel found 303 cents.
The formula for the area of a trapezold with altitude k and bases m and n is A=k/2(m+n)
Solve for m.
Answers
Answer:
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
Step-by-step explanation:
Given the expression
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Solving for 'm'
[tex]A=\frac{k}{2}\left(m+n\right)[/tex]
Flip the equation
[tex]\frac{k}{2}\left(m+n\right)=A[/tex]
Expanding by applying the distributive law: [tex]a\left(b+c\right)=ab+ac[/tex]
[tex]\frac{1}{2}km+\frac{1}{2}kn=A[/tex]
Add (-1)/2 × kn to both sides
[tex]\frac{1}{2}km+\frac{1}{2}kn+\left(-\frac{1}{2}kn\right)=\left(-\frac{1}{2}kn\right)+A[/tex]
simplify
[tex]\frac{1}{2}km=-\frac{1}{2}kn+A[/tex]
Divide both sides by k/2
[tex]\frac{\frac{1}{2}km}{\frac{k}{2}}=\frac{-\frac{1}{2}kn+A}{\frac{k}{2}}[/tex]
[tex]m=\frac{2A-kn}{k}[/tex]
Therefore,
[tex]m=\frac{2A-kn}{k}[/tex]
Hence, option C is true.
what is 1/3 divided by 7
Answers
Answer:
1/21
Step-by-step explanation:
1/21 is the fraction form
The field of study concerned with numbers, quantity, shapes and the relationships among them describes which of the following terms?
A.Division
B.Mathematics
C.Cooking
D.Measuring
Answers
Answer:
B: Mathematics
Step-by-step explanation:
plz answer my question
Answers
Answer:
a its not straight and its negative
Answer:
I'm pretty sure it is nonlinear with negative trend.
Step-by-step explanation:
I think this because the data points are going down so, negative. And linear means "to be in a straight line" which it is not. So the answer would be nonlinear with a negative trend.
Happy to Help :)
A company provides commisssion to its agent at the following rate.
-0.5% in the sale upto Rs.15 lakh
-1% in the sale from 15 lakh to Rs.25 lakh
-1.5% in the sale from Rs.25 to Rs.40 lakh
-2% in the sale above Rs.40 lakh
calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission
a.Rs.12 lakh
b.Rs.24 lakh
c.Rs.38 lakh
d.60 lakh
Answers
Answer:
A company provides commisssion to its agent at the following rate.
-0.5% in the sale upto Rs.15 lakh
-1% in the sale from 15 lakh to Rs.25 lakh
-1.5% in the sale from Rs.25 to Rs.40 lakh
-2% in the sale above Rs.40 lakh
calculate the amount of commission that can be obtained from the following sale amount by using the above rate of commission is 38 lakh
27÷819=
give me the quotient for 27÷819
Answers
Answer:
.032967033
Step-by-step explanation:
Answer:30.33333333 or just 30.3
Step-by-step explanation:
30.33333333333333
What is the quotient of (x cubed + 3 x squared minus 4 x minus 12) divided by (x squared + 5 x + 6)?
Answers
Answer:
x – 2
Step-by-step explanation:
Answer:
B. x-2
Step-by-step explanation:
Stan worked 4 years less than Marco. This year Stan has worked 29 years. If b is how long Marco worked, the equation b – 4 = 29 represents this situation. How can you get the variable alone on one side of the equation?
Answers
Answer:
Add to Both sides
Step-by-step explanation:
MARKING BRAINLIEST ❤️
(PLZ HELP ACTUALLY...)
An electrician charges $15.00 per hour for an electrical job that requires more
than 4 hours to complete. For any job requiring 4 hours or less, there is a flat
charge of $50.75. If x represents the number of hours the job requires, write
an expression that gives the charge, in dollars, for a job requiring more than 3
hours to complete.
Answers
Plz mark brainliest :)
how do i solve this question?
Answers
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. The longest side of a right triangle is called the hypotenuse and the other two sides are called the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides as follows:
Cosine Ratio
[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Consider the angle of θ=30°, then we can write:
[tex]\displaystyle \cos 30^\circ=\frac{x}{12\sqrt{3}}[/tex]
Solving for x:
[tex]x=12\sqrt{3}\cos 30^\circ[/tex]
Since:
[tex]\cos 30^\circ=\frac{\sqrt{3}}{2}[/tex]
Then:
[tex]x=12\sqrt{3}\cdot \frac{\sqrt{3}}{2}[/tex]
[tex]x = 18[/tex]
Now apply the sine:
[tex]\displaystyle \sin 30^\circ=\frac{y}{12\sqrt{3}}[/tex]
Solving for y:
[tex]y=12\sqrt{3}\sin 30^\circ[/tex]
Since:
[tex]\sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]y=12\sqrt{3}\cdot \frac{1}{2}[/tex]
[tex]y = 6\sqrt{3}[/tex]
Answer:
[tex]x = 18[/tex]
[tex]y = 6\sqrt{3}[/tex]
Which property is illustrated? 8(a + c) = 8a+ 8c
Answers
Answer:
Distributive property
Step-by-step explanation:
Here, we want to evaluate the property illustrated
From what we can see, we have that each of the inner values are multiplied by the outside value
This is simply a display of distributivity
We can conclude that we have a right distributive property in place here
Helppppppppppppppppppp
Answers
GKHCFJXDGHZSR OMH PLS ANSWER QUICK I GIVE BRAINLIEST
Answers
Answer: [tex]4 \frac{4}{9}[/tex]
Step-by-step explanation:
PLEASE HELP
Given the roots or x-intercepts -2 and 3, when expanded, the quadratic equation is:
Answers
Answer:
you're correct! the answer is c
Step-by-step explanation:
the factors would be (x+2)(x-3) and when you solve that you get c
Answer:
6
Step-by-step explanation:
-2/100 x x/3
Sarah mailed her computer to Store B for repairs. Her bill was:
Initial Repair Cost = $1,350
Sales Tax of 7 percent = $94.50
Total Cost of Computer Repair = $1,444.50
Shipping = 2 percent of Total Cost
Answers
Answer:
D
Step-by-step explanation:
Answer:
0.02($1,444.50)
Step-by-step explanation:
What are four ways to represent functions?
Answers
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.
A function shows the relationship between at least two variables. There are several ways to represent a function; some of them are:
Using tablesUsing equationsUsing graphsBy verbal expressionsTables
The following table shows the relationship between two variables x and y
[tex]\left[\begin{array}{cccccc}x&1&2&3&4&5\\y&2&4&6&8&10\end{array}\right][/tex]
Equations
Notice that the y values of the above table are twice the corresponding x-values.
So, the equation can be represented as:
[tex]y = 2x[/tex]
Graphs
See attachment for the graph of [tex]y = 2x[/tex]
Verbal
As stated above, the value of y is twice the value of x.
The above statement is a verbal representation of a function
Hence, a function can be represented with a table, graph, equation and verbally.
Read more about functions at:
https://brainly.com/question/6241820
Dominique's age is 4 years less than twice brother's age b. Dominique is 12 years old. How old is her brother? Write an equation and solve using the replacement set of (6,7,8)
Answers
Answer:
8
Step-by-step explanation:
Dominique - 12
Brother- 12 / 6 * 4
12 / 6 is 2 then 2 * 4 is 8.
So her brother is 8 years old.
To prove this multiply 8 by 2 givig you 16. then 16 - 4 giving you 12. This means the answer is correct because dominique is supposed to be 4 years less than TWICE THE AGE OF HER BROTHER.
IF YOU DON'T UNDERSTAND PLEASE ASK AND I'LL GIVE YOU MORE CLARIFICATION :)
HOPE THIS HELPED
Answer:
Step-by-step explanation:
yeah 4-12x=2
so 16
