All categories

2 years ago

Angle 1 and angle 2 are vertical angles. If m angle 1 = (8x+12)° and m angle 2 = (3x+37)° find the measure for each angle.

1 answer:

8 0

Vertically opposite angles are always equal.

Given angles are (8x+12)° and (3x+37)°

=> (8x+12)° = (3x + 37)°

=> 8x - 3x = 37-12

=> 5x = 25

=> x = 25/5 = 5°

Angle 1 = (8x+12)° = (8(5)+12) = 40+12 = 52°

Angle 2 = (3x + 37)° = (3(5)+37)° = 15+37 = 52°

You might be interested in

there are fifty five people thirty four are female and twenty one are what is the percentage of male

Natali5045456 [20]

Answer:

38.2%

Step-by-step explanation:

3 0

3 years ago

a phone company offers two monthly charge, in Plan a, the customer pays a monthly fee of $40.10 and then an additional 4 cents p

Charra [1.4K]

Answer:

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

Step-by-step explanation:

The two plans must be defined by the equation of the line y = mx + b, where

y = plan

m = slope or payment of additional cents per minute

x = time expressed in minutes

For Plan A, we have

y = 4x + 40.10 (Equation A)

While plan B is defined as

y = 7x + 35 (Equation B)

Plan A must be less than Plan B,

4x + 40.10 < 7x + 35

We put the “x” on the left side and the independent terms on the right side,

4x - 7x < 35 - 40.10

We add algebraically,

-3x < -5.10

We multiply the equation by -1 to eliminate the two “minus” signs, changing the inequality sign,

3x > 5.10

We isolate x,

x > 5.10 / 3

We solve, calculating the value of x,

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

7 0

3 years ago

the total attendance at a concert in a theater hall was 1500, of this total 400 were children,850 were women , and the remaining

AleksandrR [38]

Answer:

Below!

Step-by step explanation:

We know that:

400 + 850 + m = 1500

Solution of Question A:

Percent of children: Total children/Total attendance

=> 400/1500
=> 4/15
=> 0.27 (Rounded to nearest hundredth)
=> 0.27 x 100
=> 27%

Hence, the percent of children is about 27%.

Solution of Question B:

Percent of women: Total women/Total attendance

=> 850/1500
=> 85/150
=> 17/30
=> 17/30 x 100
=> 17/3 x 10
=> 170/3
=> 56.67%

Hence, the percent of women is 56.67%.

Solution of Question C:

400 + 850 + m = 1500
=> 1250 + m = 1500
=> m = 1500 - 1250
=> m = 250

Percent of men: Total men/Total attendance

=> 250/1500
=> 1/6
=> 0.17 (Rounded to nearest hundredth)
=> 0.17 x 100
=> 17%

Hence, the percent of men is about 17%

Hoped this helped.

$BrainiacUser1357$

3 0

2 years ago

Find an ordered pair (x, y) that is a solution to the equation. 5x-y=5 (x, y) = ?

Sonja [21]

Hi there!

There are multiple solutions to your question. Some possible solutions could be the following:
(0, -5)
(1, 0)
(2, 5)

8 0

3 years ago

Will give brainliest no files plz

MAVERICK [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers