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viva [34]
3 years ago
15

In the following diagram HI || JK.What is the measure of x?​

Mathematics
2 answers:
siniylev [52]3 years ago
8 0

Answer:

x = 64

Step-by-step explanation:

Given HI and JK are parallel lines, then

∠HIA = ∠JKI = 60° ( corresponding angles )

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles in ΔHIA from 180

x = 180 - (56 + 60) = 180 - 116 = 64

otez555 [7]3 years ago
7 0

Answer:

64

Step-by-step explanation:

60 + 56 + x = 180

116 + x = 180

x = 180 - 116

x = 64

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Please help I just need the equation
marishachu [46]

Answer:

y = -5x

Step-by-step explanation:

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6 0
3 years ago
Solve surface area please! Quick it’s due soon
just olya [345]

Answer:

SA = 470 m²

volume = 494 m³

Step-by-step explanation:

<u>Individual areas</u>

Back = 4 x 19 = 76 m²

Top = 5 x 19 = 95 m²

sloped side = 5 x 19 = 95 m²

base = 8 x 19 = 152 m²

end = (4 x 5) + 1/2(3 x 4) = 26 m²

Total SA = 76 + 95 + 95 + 152 + (2 x 26) = 470 m²

<u>Volume</u>

volume = (4 x 5 x 19) + 1/2(3 x 4 x 19) = 494 m³

5 0
3 years ago
If y = - 10x +5, what is the slope?
Hitman42 [59]

Answer:

slope = - 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 10x + 5 ← is in slope- intercept form

with slope m = - 10

6 0
3 years ago
Leslie ran 3 mile race. The second mile took her 10 percent longer than the first one and the third mile took her 24 seconds lon
Brilliant_brown [7]

Answer:

8.8 Minutes or 528 Second.

Step-by-step explanation:

↓[ Read Below ]↓

Important Info:

Leslie Ran 3 Mile Race.

2nd Mile = 10% longer than 1st and 3rd Miles took her 24s longer than 2nd Mile

Question to Answer:

Leslie’s total time for the race was 26 minutes how long did the second mile take her?

Explanation/Solution:

Let for first mile, she took x minutes . And second mile took her 10 percent longer, so second mile took

x+ 10/100x = 110/100x=1.1x

And the third mile took 24 seconds longer as compared to second mile .

So third mile took

1.1x+24/60 = (1.1x+0.4) Minutes

And the total time for the race was 26 minutes, that is

x+1.1x+1.1x+0.4=26

3.2x=26-0.4

3.2x=25.6

x= 25.6/3.2 = 8 Minutes

So the first mile took 8 minutes. And therefore second mile took

= 1.1 (8) = 8.8 Minutes

Also Equal to 528 Second.

[RevyBreeze]

4 0
2 years ago
Sally has only nickels and dimes in her money box. She knows that she has less than $20 in the box. Let x represent the number o
ohaa [14]

Answer:

Draw a dashed line to represent the graph of 5x + 10y = 2000 and shade the portion below the line for positive values of x and y

Step-by-step explanation:

Let

x------> the number of nickels in the box

y------> the number of dimes in the box

we know that

0.05x+0.10y < 20\$

Multiply by 100 both sides

5x+10y < 2000 ------> inequality that represent the situation

The solution of the inequality is the triangular shaded area below the dashed line

see the attached figure

therefore

The statement which best describes the steps to graph the solution to the inequality in x and y is

Draw a dashed line to represent the graph of 5x + 10y = 2000 and shade the portion below the line for positive values of x and y

7 0
3 years ago
Read 2 more answers
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