∠A and ∠B\angle B ∠B are vertical angles. If m ∠A=(2x+7)∘\angle A=(2x+7)^{\circ} ∠A=(2x+7) ∘ and m ∠B=(5x+16)∘\angle B=(5x+16)^{\circ} ∠B=(5x+16) ∘ , then find the measure of ∠B\angle B ∠B.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

An angle is defined as the figure formed by two rays meeting at a common end point. An angle is formed when two straight lines meet at a point. Angles are usually measured in degrees.

When two straight lines intersect, the pair of opposite angles formed is known as vertical angles (or vertical opposite angles). Vertical angles are equal to each other.

Given that ∠A and ∠B are vertical angles, therefore:

∠A = ∠B (vertical angles are equal)

2x + 7 = 5x + 16

2x - 5x = 16 - 7

-3x = 9

x = -3

∠B = 5x + 16

substituting x = -3:

∠B = 5(-3) + 16

∠B = -15 + 16

∠B = 1°


Related Questions

HELP IM BEGGINGGGGGG

Answers

Answer:

1. between 4 and 4.5

2. between 3 and 3.5

3. between 5.5 and 6

Step-by-step explanation:

What is the decimal that is equivalent to the expression 3 * 100 + 7 * 10 + 4 * 1 + 6 * 0.01 + 1 * 0.001

Answers

I believe it is 0.0318

45x+10y+50=?
PLZ HELP ASAP DUE TODAY!

Answers

Answer:

5(9x + 2y + 10)

or

x = 0

y = -5

Step-by-step explanation:

If you are just factoring this, you will factor a 5 out from everything.

5(9x + 2y + 10)

or if you are trying to solve just isolate one of the variables and then substitute it into the original equation

45x + 10y = 50

10y = 50 - 45x

y = 5 - 4.5x

45x + 10(5-4.5x) + 50

45x + 50 - 45x + 50

x=0

45(0) + 10y + 50

0 + 10y + 50

10y + 50

10y = -50

y = -5

and it would be x = 0 and y = -5

y + 2 = 2/3 (x - 4)
Slope

Answers

Answer: Y = 2/3x - 14/3

Answer:

2/3

Step-by-step explanation:

y+2=2/3 (x-4)

1. multiply parentheses (y+2=2/3x-8/3

2. subtract 2 from both sides (y=2/3x-2/3

3. 2/3x is the slope

Grandma lives 20 miles away. So far you have driven 6 3/10 miles . How many more miles do you have to drive to get to Grandma's house?

Answers

Answer:

she travel 2hours and45 mins

Step-by-step explanation:

division

6x+4)+(4x+6) find the value of x

Answers

Answer: x equals 10x + 10

Which inequality represents all values of x for which the product below is
defined?
20 pts

Answers

Step-by-step explanation:

√a is defined only when a >= 0.

Therefore for √4x * √(x + 2) to be defined, both 4x and x + 2 must be non-negative.

When 4x >= 0, x >= 0.

When x + 2 >= 0, x >= -2.

x >= 0 and x >= -2, therefore we have x >= 0. (D)

3 1/3 +(-2 1/4) + 1 5/6 =???

Answers

Answer:

should be 4 and 9/12

Step-by-step explanation:

+$+$+$+$++$+$+#++#+#+$+

Jada says she can find 87-59 by taking away 60 and adding 1 so it is the same as 27+1 or 28. Explain why jadas method to calculate 87-59 makes sense.

Answers

Answer:

The correct answer is 28.

Step-by-step explanation:

Actually Jada makes problem simpler by adding and subtracting 1

that is

87 ₋ 59 ₋1 ₊ 1

so there would be no effect on our final answer because we have added 1 and also subtracted 1

Now,

87 - 59 -1 + 1

87 - 60 +1                ( ∵ -59 - 1 = -60 )

27 + 1                       (∵ 87 - 60 = 27 )

28

so the final answer is 28 .

THIS COSTS MY GRADE! PLEASE HELP ASAP!!

George borrowed $8,650 from the bank for his college expenses and is paying back $350 each month. If he still owes $3,450, how long has he been paying his loan?

Answers

Answer:

14 months.

Step-by-step explanation:

3,450 - 8,650 = 5,200 divided by 350 = 14 months or 14.8 months if the answer requires a decimal.

Ron asked 18 classmates whether they prefer granola bars over muffins.
He used a calculator to compare the number of classmates who said yes to the total number he surveyed.
The calculator showed the result below.

Answers

what’s the result? 18/x? don’t know what the question is

write the equation of the line that passes through the point (-2,7) and is perpendicular to a line that passes through the points (-6,1) and (0,4)

Answers

Answer:

Math

Step-by-step explanation:

I hope ican help sorry

What is the value for y?

Answers

Answer:

Isosceles triangle basically has two equal sides and angles opposite to these equal sides are also equal.Therefore

50° = 2x°

50/2 = x

25 = x

There fore value of x is 25.

so,angle B = 2 × 25

hence angle B is 50

That's all i can solve, I'm also kinda stuck.

hope this helped

A parabola can be drawn given a focus of (4, -3) and a directrix of y=5 Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is (x - 4)² = -16(y - 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)² = 4p(y - k), where

The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p  

∵ The focus of the parabola is (4, -3)

∵ The focus is (h, k + p)

h = 4

k + p = -3 ⇒ (1)

∵ It has a directrix of y = 5

∵ The directrix of the parabola is y = k - p

k - p = 5 ⇒ (2)

→ Add equations (1) and (2) to find k and p

∵ (k + k) + (p - p) = (-3 + 5)

∴ 2k + 0 = 2

∴ 2k = 2

→ Divide both sides by 2

k = 1

→ Substitute the value of k in equation (1)

∵ 1 + p = -3

→ Subtract 1 from both sides

∴ 1 - 1 + p = -3 - 1

p = -4

∵ The form of the equation of the parabola is (x - h)² = 4p(y - k)

→ Substitute the values of h, k, p in it

∴ (x - 4)² = 4(-4)(y - 1)

∴ (x - 4)² = -16(y - 1)

The equation of the parabola is (x - 4)² = -16(y - 1)

a) 3/4 × 1/2
b) 4/7 × 21/40​

Answers

A)  2/3....

edited answer

B). 3/10

A factory produces 60 candy bars in 5 minutes. If the factory continues producing at the same rate. How many candy bars does it produce in 10 minutes, 1 minute, 7 minutes

Answers

Answer:

10 minutes would be 120 candy bars.

1 minute would be 12 candy bars.

7 minutes would be 84 candy bars.

Step-by-step explanation:

For 10 minutes you multiply 60 times 2, which would be 120 candy bars.

For 1 minute you divide 60 by 5, which would be 12 candy bars.

For 7 minutes you would add 60 and 24, which would be 84 candy bars.  

ASAP PLS I HHAVE SCHOOL TOMORROW :((

Answers

Answer:

it divides by five

Step-by-step explanation:

500/5=100

100/5=20

20/5=4

4/5=0.8!

Brainliest pls

The sum of 3 consecutive odd integers is 105. What are the 3 numbers? List the numbers in order from least to greatest

Answers

Answer:

33, 35, 37

Step-by-step explanation:

33 + 35 + 37 = 105

Help! List all the pairs of triangles that are congruent by ASA (Angle-Side-Angle)

Answers

Answer:

A, B, C and D

Step-by-step explanation:

The ASA rule states that:

If two angles and the included side of one triangle are equal to two angles and included side of another triangle, then the triangles are congruent.

Plzzzzzzzz help me it’s urgent

Answers

It should be A.
i know this because a proportion line is a straight line that travels through the origin.

express 243 as power of 3 explain ​

Answers

Answer:

3^5

Step-by-step explanation:

Keep dividing by 3 until you get to 1. Number of times you divided is the power.

243

81

27

9

3

1

Teresa finished her math test in 3/4 hour. Lamar finished his test in 2/3 hour.in how less time did Lamar finish his test compared to Teresa?

Answers

Answer:

5 minutes or 1/12 of an hour.

Step-by-step explanation:

3/4 of an hour is 45 minutes.

2/3 of an hour is 40 minutes.

45-40 = 5 minutes or 1/12 of an hour.

am I right want to know f I am not please tell me the answer

Answers

Answer:

A

Step-by-step explanation:

it's the answerI'm 100% sure

Answer:

The correct answer is D

Step-by-step explanation:

6 × 13x = 78x6 × 9 = 54Put them together: 78x + 54This expression and the one given are not equivalent, so D is the correct answer

I hope this helps!

I need help with this, please and thank you to anyone who can do this.

Answers

Answer:

No

Step-by-step explanation:

Sooooooooooooo no

P.S. The answer is accually (Deleted)

Answer:

it is not correct

Step-by-step explanation:

the answer is instead of 55 its 73

if this is wrong im sryyyyy


Dave says:
The only quadrilateral with two lines of symmetry is a rectangle.
Is Dave correct?
Explain your answer.

Answers

Answer:
no
Step-by-step explanation:
rhombus

Mai's family drink a total of 10 gallons of milk every 6 weeks. How many weeks does it take the family to consume 3 gallons of milk?

Answers

Answer:

1.8 weeks

Step-by-step explanation:

The number of weeks it takes for consuming the 3 gallons of milk is as follows:

It is given that the total of 10 gallons of milk drink for every 6 week i.e. 5 by 3

Now in order to determine the weeks we have to reciprocal the ratio i.e. 3 by 5

Now for 3 gallons it would be

[tex]= \frac{3}{5}\times 3[/tex]

= 1.8 weeks

PLEASE HELP ME!!!!!! IM SUPER CONFUSED AND NEED SMARTIES HELP

Answers

Answer:

I got you, The rectangle on the left is 1.62 and the rectangle on the right is 0.432 :)

Step-by-step explanation:

Combine -9(-5-4c) in like terms ​

Answers

Answer:

45+36c

Step-by-step explanation:

I'm not sure what u mean But i think they want u to distrubte the -9 to others

So -9*-5 is 45 and then -9*-4c is 36c so 45+36c

hoped that helped

Calculate the length of the third side

Answers

Answer:

root (29^2 - 20^2)

=root(841-400)

=root 441

=21

The ratio of the measures of the angles in angles JKH is 2:3:4.

Answers

Answer:

J=40º, K=60º, H=80º

Step-by-step explanation:

since all angles of a triangle add up to 180º, we can make an eqaution.

3x+2x+4x=180

9x=180

x=20

J=2x=20x2=40º

K=3x=20x3=60º

H=4x=20x4=80º

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