Answers
Answer:
30 degrees
Step-by-step explanation:
∠BAC= ∠DAE (vert. opp. ∠s)
(x +10)°= (2x -10)°
x +10= 2x -10
Bring constants to 1 side, x terms to the other:
2x -x= 10 +10
x= 20 (simplify)
∠BAC= (x +10)°
∠BAC= (20 +10)° (substitute x=20)
∠BAC= 30°
Answer:
<bac=30°
Step-by-step explanation:
<bac=<ead (being vertically oppoaite angles)
(x+10)=(2x-10)
10+10= 2x-x
20°=x
now
<bac=(x+10)°
<bac=(20+10)°
so,<bac=30°
Related Questions
If you can answer 5 questions in an hour, how many questions can you complete in 3 hours? HINT: Use the proportion 5 questions : 1 hour :: X questions : 3 hours.
Answers
Answer:
15
Step-by-step explanation:
1 hr: 5
2 hr: 10
3 hr: 15
If you can answer [tex]5[/tex] questions in an hour, then in [tex]3[/tex] hours you will complete [tex]15[/tex] questions.
What is proportion ?Proportion the equality of any two ratios is called a proportion. i.e. [tex]\frac{a}{b} :: \frac{c}{d}[/tex]
According to the question,
Let Number of questions to be completed in 3 hours [tex]= X[/tex],
So,
[tex]\frac{5 Question}{1 Hour} :: \frac{X Question}{3 Hours}[/tex]
⇒ [tex]X=15[/tex]
Hence, we can say that in [tex]3[/tex] hours you will complete [tex]15[/tex] questions.
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What is the exact simple interest on 150-day loan of 2,350 at %10
Answers
Answer:
96.58
Step-by-step explanation:
The formula for simple interest is ...
I = Prt
where P is the principal, r is the rate, and t is the time period in years.
Exact interest is computed using 365 days per year, so the time period is ...
t = 150/365
Then the interest is ...
I = 2350(0.10)(150/365) = 96.58
28 different ways.
2) {#2in text} List and count the different ways a president and treasurer can
be elected if the president must be a female.
Answers
Answer:
The different number of ways to select a female president and a treasurer is 8.
Step-by-step explanation:
The complete question is:
Find the number of ways that club N= {Alan, Bill, Cathy, David, Evelyn} can elect both a president and treasurer if the president must be a female.
Solution:
The male members are: Alan (A), Bill (B) and David (D)
The female members are: Cathy (C) and Evelyn (E)
The list of different ways to select a female president and a treasurer is:
{CA, CB, CD, CE, EA, EB, ED and EC }
The number of ways to select a female president: [tex]{2\choose1}=2[/tex]
The remaining number of members of the club is, 4.
The number of ways to select a treasurer is, [tex]{4\choose1}=4[/tex]
The total number of ways to select a female president and a treasurer is,
2 × 4 = 8 ways.
P (N) = N^2 - 2N; FIND P (A - 2)
Answers
Answer:
A^2-6A+8 is the answer.......
How do you write 6.2 x 105 in standard form ??
Answers
Answer:
651.0
Step-by-step explanation:
what is 3 divided by 2 fifths
Answers
Answer: 15/2
Please Mark me as Brainliest
3/1 divided by 2/5
flip 3/1 and it would be 1/3 times 2/5= 2/15
If Johnny has 2 apples and Gyro gots 3 and Diego ate 5 and gave Johnny 2 how much pineapples does Sandman have?
Answers
Answer:
how many ever pineapples as sandman wants...I think
Plz solve this for me
6lb-18oz
Answers
Answer:
78oz or 4.875lb
Step-by-step explanation:
6lb = 96oz
96 - 18 = 78oz
or
18oz = 1.125lb
6lb - 1.125lb = 4.875lb
Please mark as Brainliest, thank you!
What is the slope of the line through the points (8, −3) and (2, 1)?
A. −23
B. −13
C. 13
D. 23
Answers
Answer: D
Please mark me as brainliest
What is 2/3 x 6/5 ?
Answers
Answer:
4/5
Step-by-step explanation:
2/1 * 2/5 = 4/5
What is the Constant in this Expression?
Answers
Answer:
-11
Step-by-step explanation:
A constant is a term without any algebraic coefficients or simply.. that isn't a variable..
Here, -11 is a constant
Answer:
-11
Step-by-step explanation:
A constant is a number that has no variable such as x, y, z, a, b, c, d or any other terms next to that number. It's just the integer and nothing else. Integers can be positive and negative from 0. The integer -11 in this example is a constant because there is no variable or other terms next to it.
Brandon has a cup of quarters and dimes with a total value of $3.80. The number of quarters is four less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Answers
Step-by-step explanation:
q+d= 3.80
2d - 4= q
2(8)-4=12
12q + 8d
3.00+ .80= 3.80
Mean, medi
What is the mode of the following numbers?
9, 10,6,5,6
Answers
Answer:
6
Step-by-step explanation:
Mode means the number that appears the most often.
Answer:
Mean
7.2
Median
6
Mode
6
Given f(x) = x − 7 and g(x) = x2 .
Find g(f(4)).
g(f(4)) =
9
Find f(g(4)).
f(g(4)) =
Find g(f(−1)).
g(f(−1)) =
Answers
Answer: 9
Step-by-step explanation:
The value of functions g(f(4)) is 9, f(g(4))=9 and g(f(−1)) is 64
What is a function?A relation is a function if it has only One y-value for each x-value.
The given functions are f(x) = x − 7 and g(x) = x²
We have to find g(f(4))
Let us find f(4) = 4-7=-3
g(-3)=9
g(f(4)) = 9
f(g(4))=f(16)
f(g(4))=9
g(f(−1))= g(-8)
g(f(−1))=64
Hence, the value of functions g(f(4)) is 9, f(g(4))=9 and g(f(−1)) is 64
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What is the biggest number less than 1,000 that has only 2s in its prime factorization?
Answers
Answer:
2^9 = 512
Step-by-step explanation:
2^9 = 512 is the largest number less than 1000 that has only 2s in its prime factorization.
Does the table represent a linear or nonlinear function? Explain.
Х
-3
1
5
9
y
20
36
44
60
Answers
Answer:
this represents a nonlinear function because there is no set slope, or in other words, you cannot draw a straight and exact line between each point
A tank in the shape of a hemisphere with a radius r = 7 ft is full of water to a depth of 3 ft. Set up the integral that would find the work W required to pump the water out of the spout. Use the location of the origin and the direction of the positive axis as specified in the different parts. hemisphere Note: Use 62.5 lb/ft3 as the weight of water.
(A) The origin is at the top of the tank with positive y variables going down. dy
(B) The origin is at the bottom of the tank with positive y-values going up. dy
Answers
Answer:
4 feet is with nothing
Step-by-step explanation:
What is the value of y?
Answers
Answer:
A
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle is always 180 degrees. We are given that two of the interior angles of the triangle are y and the exterior angle that is connected to the missing interior angle is 130 degrees. We can see from the image that the given exterior angle and the missing interior angle are supplementary, or they add up to 180. Knowing this, we can find the missing interior angle:
130 + a = 180
a = 50
So we now know that the missing interior angle is 50 degrees. Since the sum of the interior angles for a triangle is 180 degrees, we can make the equation:
50 + y + y = 180
and solve for y.
50 + y + y = 108
50 + 2y = 180
2y = 130
y = 65
So now we know that y = 65.
I hope you find my answer and explanation to be helpful. Happy studying. :)
What is the median for the following data values 10,11,12,15,19,24,27,29,33,38
A.21.8
B. 21.5
C. 19
D.24
Answers
Answer:
B. 21.5
Step-by-step explanation:
Median is the center value in a list of numbers arranged in ascending order.
In this case, values given in the list are in increasing order ;
10 , 11, 12, 15, 19, 24, 27, 29, 33 ,38 --------identify the middle value
The middle position has two values , 19 , 24 ---------find the average
( 19+24 )/ 2
43 / 2 = 21.5
The median is 21.5 (answer choice B).
Choice A is incorrect because sum of middle values (43) divided by two is not 21.8 .It is 21.5
Choice C and D are incorrect because 19 and 24 are both at the middle of the list of numbers so to get the correct median you get the average of the two middle values.
y varies directly with x Part 2
22. If y = 5 when x = -3, find x when y = -1
23. If y = -7 when x = -3, find y when x = 9
24. If y = 25 when x = 15, find y when x = 6
Answers
Problem 22
Answer: x = 3/5---------------------------------------
Explanation:
y = kx is the general form for direct variation. K is some constant.
Plug in (x,y) = (-3,5) to find k
y = kx
5 = k*(-3)
-5/3 = k
k = -5/3
-------------
The equation is y = (-5/3)x. Now plug in y = -1 to find x
y = (-5/3)x
-1 = (-5/3)x
(-5/3)x = -1
x = -1*(-3/5)
x = 3/5
==========================================================
Problem 23
Answer: y = 21---------------------------------------
Explanation:
Same idea as above. First we need to find k.
y = kx
-7 = k(-3) .... plug in x = -3 and y = -7
-3k = -7
k = 7/3
The equation is y = (7/3)x
-------------
We can use this to find y when x = 9
y = (7/3)x
y = (7/3)*9 .... plug in x = 9
y = 21
==========================================================
Problem 24
Answer: y = 10---------------------------------------
Explanation:
First find k
y = kx
25 = k*15
25/15 = k
5/3 = k
k = 5/3
The equation is y = (5/3)x
------------
Now find y when x = 6
y = (5/3)x
y = (5/3)*6
y = 10
Answer:
22. 3/5
23. 21
24. 10
Step-by-step explanation:
In each case, multiply the old value of the variable of interest by the new/old ratio of the given variable values.
__
22. x = (-1/5)(-3) = 3/5
23. y = (9/-3)(-7) = 21
24. y = (6/15)(25) = 10
_____
The proportions can be written as either of ...
newX/newY = oldX/oldY ⇒ newX = (newY/oldY)(oldX)
or, the same thing with x and y interchanged:
newY/newX = oldY/oldX ⇒ newY = (newX/oldX)(oldY)
A jar of marbles contains 120 marbles the larger jar of marbles contains one and 56 times as many marbles how many marbles are in the larger jar
Answers
Elsa purchased a prepaid phone card for $20 . Long distance calls cost 12 cents a minute using this card. Elsa used her card only once to make a long distance call. If the remaining credit on her card is $14.84 , how many minutes did her call last?
Answers
Answer:
4 minutes and 30 seconds
What numbers are the arrows pointing to
Answers
Answer:
a= 365
b= 700
c=76.5
Step-by-step explanation:
the first one goes by 10, and the arrow is in the middle of 60&70, so it is 365
the second one goes by hundreds, so it is 700
the third one goes by .5, and the third one is 76.5
Use the drop-down menus to label the points on the number line will mark brainliest
Answers
Answer:
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number. Point A is halfway between negative 2 and negative 1. Point B is 1 mark to the right of negative 1. Point C is 1 mark to the left of 1. Point D is 1 mark to the left of 2.
Use the drop-down menus to label the points on the number line.
Point A is at
✔ -1 2/4
.
Point B is at
✔ -3/4
.
Point C is at
✔ 3/4
.
Point D is at
✔ 1 3/4
.
Step-by-step explanation:
Branliest PLZ!!!!!!! <3
Answer:Use the drop-down menus to label the points on the number line.
Point A is at
✔ -1 2/4
.
Point B is at
✔ -3/4
.
Point C is at
✔ 3/4
.
Point D is at
✔ 1 3/4
.
Step-by-step explanation:
also the guy above me is 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 percent right
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The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function?
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6,0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Plz help!!!!
Answers
Make it 4x23=3sx=32 Thats so simple,,,,,
Answer: O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6,0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Step-by-step explanation:
O Locate the ordered pair (0, -6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (0, -6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the
line. Draw a line through the two points.
Locate the ordered pair (-6,0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the
line. Draw a line through the two points.
If you are asked to rotate 270° counterclockwise that's the same as rotating what other angle of rotation and direction?
Answers
Answer:
90° clockwise
Step-by-step explanation:
90 degrees clockwise
when you rotate counterclockwise 270 degrees, (x,y) maps to (y,-x)
Hope this helps :-)
Shoes are on sale for
15% off the regular
price. The discount is
$6. What is the regular
price of the shoes?
Answers
Answe: She also received a coupon for 15% off the sale price. ... in price, in percentage terms, between the initial price of the shoes and the sale price?. The first way is to find the amount of the discount and subtract from the original price
Step-by-step explanation:
Personal Math Trainer
Lesson 4.3 - Homework - Homework
« 123456
Bob and Cheryl are taking a road trip that is 181.60 miles. Bost drove
of the total distance.
Alw
How many miles did Bob drive?
He has driven
miles so far.
bob and Cheryl are taking a road trip that is 181.60 miles,Bob drove 3-4 of the total distance how many miles did bob drive
Answers
Answer:
He drove 45.04 miles
Step-by-step explanation:
Which measurement is most accurate to describe the distance from Los Angeles to New York City?
4,000 km
6,000 m
8,000 mm
50 km
Answers
Answer:
4,000km
Step-by-step explanation:
Solve for w. 4P = 2w - 8b Explain in words or with numbers.
Answers
Answer:
[tex]w=2(P+2b)[/tex]
Step-by-step explanation:
[tex]4P=2w-8b[/tex]
Switch sides:
[tex]2w-8b=4P[/tex]
Add 8b to both sides:
[tex]\2w-8b+8b=4P+8b[/tex]
[tex]2w=4P+8b[/tex]
Divide both sides by 2:
[tex]\frac{2w}{2}=\frac{4P+8b}{2}[/tex]
[tex]w=2P+4b[/tex]
Factor out the common factor (2):
[tex]w=2\left(P+2b)[/tex]
