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mezya [45]
3 years ago
14

What is the measure of angle a?

Mathematics
1 answer:
kykrilka [37]3 years ago
6 0

Answer:

a = 63˚

Step-by-step explanation:

1. Recognize that any triangle = ∑180˚

2. 180-81-b-a=0

3. 180-117=63˚

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Find the value of x and y. Show all your work neat and<br> in order.
Mazyrski [523]

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

64 - 64 + 4y = 180° - 64

4y = 116°

y = 116/4

y => 29°

8 0
3 years ago
Help ASAP!!!!!!!!!!!!!!!
Airida [17]

1 hundredth+3 tenths= 3 hundredths

6 0
2 years ago
Someone help pls -……
uysha [10]

Answer:

d) 35ft

e) 6 seconds

f) 250°

Step-by-step explanation:

If it makes one rotation (360°) in 36 seconds, then it turns 10° every second.

   36 secs = 360°

⇒ 1 sec = 360/36 = 10°

d)  After 9 seconds, it has turned:

9 x 10 = 90°

Therefore, it will be 15 + 20 = 35ft from the wall

e) 60° = 6 seconds

f) 25 seconds = 25 x 10 = 250°

8 0
2 years ago
The volume of a rectangular prism can be found with the formula V = lwh
kipiarov [429]

The height of the prism is 12 feet.

5 0
3 years ago
In 1990, the price of a gallon of unleaded gasoline was $1.37. In 1998, it was $1.02 per gallon. What is the decrease expressed
mojhsa [17]
The decrease is 35c

Q= X/100 of $1.37 = 0.35

1.37x/100 = 0.35

1.37x = 35 then divide each side by 1.37

Result is 25.5474453 percent, round up to nearest tenth.
Answer is 25%

7 0
3 years ago
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