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2 years ago

Line r and m are parallel. Find the value of x.

Mathematics

1 answer:

vladimir2022 [97]2 years ago

8 0

Answer:

Answer:

10x-3=7x+45 corresponding angle

10x-7x=45+3

3x=48

x=48/3=16

value of x is 16.

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What is the x-intercept of the equation 3x - 2y = -12

muminat

X=2/3y-4

EXPLANATION
3x-2y=-12
You take -2y to the other side
It becomes 3x=2y-12
Then you divide 3
X=2/3y
-12/3=-4
X=2/3y-4

4 0

3 years ago

A helicopter is flying above a town. the local high school is directly to the east of the helicopter at a 20° angle of depressio

guapka [62]

Answer: 4.5 miles

Explanation:

When you draw the situation you find two triangles.

1) Triangle to the east of the helicopter

a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°

b) hypotensue = distance between the high school and the helicopter

c) opposite-leg to angle 20° = heigth of the helicopter

d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x

2) triangle to the west of the helicopter

a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°

b) distance between the helicopter and the elementary school = hypotenuse

c) opposite-leg to angle 62° = height of the helicopter

d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x

3) tangent ratios

a) triangle with the helicpoter and the high school

tan 20° = Height / x ⇒ height = x tan 20°

b) triangle with the helicopter and the elementary school

tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°

c) equal the height from both triangles:

x tan 20° = (5 - x) tan 62°

x tan 20° = 5 tan 62° - x tan 62°

x tan 20° + x tan 62° = 5 tan 62°

x (tan 20° + tan 62°) = 5 tan 62°

⇒ x = 5 tant 62° / ( tan 20° + tan 62°)

⇒ x = 4,19 miles

=> height = x tan 20° = 4,19 tan 20° = 1,525 miles

4) Calculate the hypotenuse of this triangle:

hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²

hipotenuse = 4.46 miles

Rounded to the nearest tenth = 4.5 miles

That is the distance between the helicopter and the high school.

5 0

3 years ago

Read 2 more answers

Find the median of the following data set.<br><br> 0.48, 0.66, 1.02, 0.82, 0.7, 0.94

kari74 [83]

Answer:

0.76

Step-by-step explanation:

0.48, 0.66, 1.02, 0.82, 0.7, 0.94

Organize the numbers from least to greatest.

0.48, 0.66, 0.7, 0.82, 0.94, 1.02

Then find the middle (Median is the middle).

0.48, 0.66, 0.7, |?| 0.82, 0.94, 1.02

Take the two numbers closest to the middle. Add them.

0.7 + 0.82

= 1.52

Divide that with 2.

= 0.76

8 0

3 years ago

is this answer correct? if not please explain. The question is “The mass of the Eock of Gibraltar is 1.78 • 10 power of 12 kilog

Natalija [7]

Answer:

Step-by-step explanation:

Mass of Antarctic iceberg - Mass of Rock Gibraltar=

= 4.55 * 10^{13} - 1.78 * 10^{12} = 
 45.5 * 10 ^{12}- 1. 78 * 10^{12}= 43.72 * 10^{12} 


Answer: 43.72 * 10^12 kg

3 0

3 years ago

Which of the following expressions is equivalent to xy^3?<br> (options in the pic)

Alex

Answer:

Step-by-step explanation:

${xy}^{3}$

means that xy is being multiplied with itself thrice.

Hence,

$xy \times xy \times xy$

5 0

2 years ago