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2 years ago

For what value of x is line a parallel to line b? Enter your answer in the box. x =

Mathematics

2 answers:

Vitek1552 [10]2 years ago

8 0

The angles with measures 5x + 15 and 115 are corresponding angles.
For lines a and b to be parallel, those angles must be congruent.

5x + 15 = 115

5x = 100

x = 20

faust18 [17]2 years ago

5 0

5x+15=115
subtract 15 from both sides
5x=100
divide both sides by 5
x=20

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Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartF

vladimir2022 [97]

Answer:

30°

Step-by-step explanation:

Law of Sines = $\frac{a}{Sin A} = \frac{b}{Sin B} = \frac{c}{Sin C}$

$\frac{2}{Sin 30} = \frac{2}{Sin B}$

$\frac{2}{Sin 30} = \frac{2}{Sin 30}$

Therefore, m∠B = 30°

Hope that's right and helps

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2 years ago

Which graph shows a function whose inverse is also a function? On a coordinate plane, two curved graphs are shown. f (x) sharply

sertanlavr [38]

Answer:

Step-by-step explanation:

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6 0

2 years ago

Gianna is going to throw a ball from the top floor of her middle school. When she throws the hall from 48 feet above the ground,

vazorg [7]

Answer:

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

Step-by-step explanation:

The height h of the ball is modeled by the following equation

$h(t)=-16t^2+32t+48$

The problem want you to find the times the ball will be 48 feet above the ground.

It is going to be when:

$h(t) = 48$

$h(t)=-16t^{2}+32t+48$

$48=-16t^{2}+32t+48$

$0=-16t^{2}+32t+48 - 48$

$16t^{2} - 32t = 0$

We can simplify by 16t. So

$16t(t-2)= 0$

It means that

16t = 0

t = 0

t - 2 = 0

t = 2

So, the times the ball will be 48 feet above the ground are t = 0 and t = 2.

6 0

2 years ago

a bird leaves its nest and travels 20 miles per hour downwind for xx hours. on the return trip, the bird travels 4 miles per hou

Rudik [331]

A. if the return trip is the same then the bird traveled 40miles
b. the time of the trip is x hours + 6/x-4

3 0

2 years ago

Read 2 more answers

W hich of these scales is equivalent to the scale 1 cm to 5 km? Select all that apply. (Lesson 1-11) A. 3 cm to 15 km D. 5 m

nordsb [41]

The equivalent scales are:

3 cm to 15 km is equivalent to 1 cm to 5 km ⇒ answer A

5 mm to 2.5 km is equivalent to 1 cm to 5 km ⇒ answer D

1 mm to 500 m is equivalent to 1 cm to 5 km ⇒ answer E

Step-by-step explanation:

To solve this problem do that

1. The given scale is 1 cm represents 5 km, then all given answer must

be change to cm and km

2. Find the equivalent scales to the given scale

∵ 3 cm represents 15 km

- Divide both of them by 3

∴ 1 cm represents 5 km

3 cm to 15 km is equivalent to 1 cm to 5 km

∵ 1 mm represents 150 km

- Change mm to cm

∵ 1 cm = 10 mm

∴ 1 mm = $\frac{1}{10}$ cm = 0.1 cm

∴ 0.1 cm represents 150 km

- Multiply both by 10

∴ 1 cm represents 1500 km

1 mm to 150 km is not equivalent to 1 cm to 5 km

∵ 5 cm represents 1 km

- Divide both my 5

∴ 1 cm represents 0.2 km

5 cm to 1 km is not equivalent to 1 cm to 5 km

∵ 5 mm represents 2.5 km

- Change mm to cm

∵ 1 cm = 10 mm

∴ 5 mm = $\frac{5}{10}$ cm = 0.5 cm

∴ 0.5 cm represents 2.5 km

- Divide both by 0.5

∴ 1 cm represents 5 km

5 mm to 2.5 km is equivalent to 1 cm to 5 km

∵ 1 mm represents 500 m

- Change mm to cm

∵ 1 cm = 10 mm

∴ 1 mm = $\frac{1}{10}$ cm = 0.1 cm

- Change m to km

∵ 1 km = 1000 m

∴ 1 m = $\frac{1}{1000}$ = 0.001 km

∴ 500 m = $\frac{500}{1000}$ = 0.5 km

∴ 0.1 cm represents 0.5 km

- Multiply both by 10

∴ 1 cm represents 5 km

1 mm to 500 m is equivalent to 1 cm to 5 km

Learn more:

You can learn more about the equivalent quantities in brainly.com/question/120752

#LearnwithBrainly

3 0

2 years ago