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Bumek [7]
3 years ago
14

Solve for the unknown values : x = _____ degrees y = _____ degrees

Mathematics
2 answers:
sveta [45]3 years ago
7 0

Answer:

Step-by-step explanation:

creativ13 [48]3 years ago
6 0

Given:

One interior angle is 50°.

Exterior angle is 95°.

To find:

The value of x and y.

Solution:

Exterior angle property of triangle:

The measure of an exterior angle is equal to the sum of the measures of the opposite interior angles.

⇒ 50° + y = 95°

Subtract 50° from both sides.

⇒ 50° + y - 50° = 95° - 50°

⇒ y = 45°

Sum of the adjacent angles in the straight line is 180°.

⇒ x + 95° = 180°

Subtract 95° from both sides.

⇒ x + 95° - 95° = 180° - 95°

⇒ x = 85°

The value of x is 85° and y is 45°.

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Robert collected 330 aluminum cans. If 100 aluminum cans weigh 4 pounds, and the recycling center is paying 25 cents a pound, ho
Phantasy [73]

Step-by-step explanation:

Cost per pound, c = 25cents

number of cans per pound, n = 100/4 = 25cans

total cans collected, t = 330cans

payment for total cans collected,p

where p = (t/n)×c = (330/25)×25 = 330cents

7 0
3 years ago
The resting heart rate of an adult is usually about 60 beats per minute. Use your completed table to find approximately how many
Dvinal [7]
60x=1,000,000
----- ---------------
60 60
X=16,666 2/3 or
X=16,666.6667 it would take approximately 16,667 minutes for the average resting heart to beat 1,000,000 times.
3 0
3 years ago
Three houses are mapped on a coordinate grid.
Licemer1 [7]

Step-by-step explanation:

Let us consider the task to find the angle between vectors ES and EJ (the first letters are taken to name the vectors).

\overrightarrow{ES} = (4;4) - (4; -3) = \overrightarrow{(0; 7)}

ES

=(4;4)−(4;−3)=

(0;7)

​

\overrightarrow{EJ} = (-5; -4) - (4; -3) = \overrightarrow{(-9; -1)}

EJ

=(−5;−4)−(4;−3)=

(−9;−1)

​

cos \alpha=\frac{\overrightarrow{ES}*\overrightarrow{EJ}}{|\overrightarrow{EJ}|*|\overrightarrow{ES}|}cosα=

∣

EJ

∣∗∣

ES

∣

ES

∗

EJ

​

cos(a) = (0*(-9)+7*(-1)) / (7*9.055) = -0.11043;

a = 96,34°

Solution: 96 degrees.

6 0
3 years ago
Which represents the solution(s) of the system of equations, y = -x2 + 6x + 16 and y = - 4x + 37? Determine the solution set
AysviL [449]

Answer:

The answer is c

Step-by-step explanation:

(7,9) (3,25)

3 0
3 years ago
Using the formula C = 2πr, how would i find the circumference of a circle with diameter of 28 inches. and i have to round the as
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Sorry, this took me a while to upload!

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3 years ago
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