All categories

3 years ago

What is the value of x and y?

Mathematics

2 answers:

crimeas [40]3 years ago

8 0

Answer:

C. x = 8 , y = 40

Step-by-step explanation:

since this is an Isosceles triangle 5x = 40° and x = 8

The sum of interior angles in a triangle is equal to 180°

40° + 5x + 2y + 20 = 180° add like terms

5x + 2y = 120

40 + 2y = 120 ➡ 2y = 80 and y = 40

Blizzard [7]3 years ago

3 0

Step-by-step explanation:

AB =AC

Therefore,∆ABC is an isosceles triangle.

angle B= angle C

5x°= 40°

x°= 8°

Now, sum of the interior angles of the triangle= 180°

angle A+angle B+angle C=180

2y+20°+5x+40°=180°

2y+20°+40°+40°=180°

2y+100°=180°

2y=80°

y=40°

option C ,x = 8 ; y= 40°

You might be interested in

Train can travel 1136 miles in 4 hours. What is the unit rate that this train is traveling per hour

jonny [76]

Answer:

4544

Step-by-step explanation:

1136 *4 = 4544

3 0

3 years ago

The sum of these fractions is between which two whole numbers? 3 4/6 1 3/6 4&5 5&6 6&7 or 7&8

umka21 [38]

<span>3 4/6 + 1 3/6 = 4 7/6 = 5 1/6
5 1/6 is between 5 and 6

answer is </span><span>5&6 (second choice)</span>

8 0

3 years ago

A movie theater has a seating capacity of 329. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults.

kipiarov [429]

Answer:

170 children

74 students

85 adults

Step-by-step explanation:

Given

Let:

$C = Children; S = Students; A = Adults$

For the capacity, we have:

$C + S + A = 329$

For the tickets sold, we have:

$5C + 7S + 12A = 2388$

Half as many as adults are children implies that:

$A = \frac{C}{2}$

Required

Solve for A, C and S

The equations to solve are:

$C + S + A = 329$ -- (1)

$5C + 7S + 12A = 2388$ -- (2)

$A = \frac{C}{2}$ -- (3)

Make C the subject in (3)

$C = 2A$

Substitute $C = 2A$ in (1) and (2)

$C + S + A = 329$ -- (1)

$2A + S + A = 329$

$3A + S = 329$

Make S the subject

$S = 329 - 3A$

$5C + 7S + 12A = 2388$ -- (2)

$5*2A + 7S + 12A = 2388$

$10A + 7S + 12A = 2388$

$7S + 22A = 2388$

Substitute $S = 329 - 3A$

$7(329 - 3A) + 22A = 2388$

$2303 - 21A + 22A = 2388$

$2303 +A = 2388$

Solve for A

$A = 2388 - 2303$

$A = 85$

Recall that: $C = 2A$

$C = 2 * 85$

$C = 170$

Recall that: $S = 329 - 3A$

$S = 329 - 3 * 85$

$S = 329 - 255$

$S = 74$

Hence, the result is:

$C = 170$

$S = 74$

$A = 85$

8 0

3 years ago

This list gives facts about a library.

Alchen [17]

Answer:

if you can use the app photomath or m.a.t.h. w.a.y

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Which of the following points is a solution of the inequality y < -|x|?

Rzqust [24]

y < -|x|

replace the letters with the given numbers:

(1,-2) -2<-|1| this is true

(1,-1) -1 <-|1| this is false

(1,0) 0 < -|1| this I false

The answer is (1,-2)

5 0

3 years ago

Read 2 more answers