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dexar [7]
3 years ago
9

In the image, mZHKM = 155° and mZJKL = (5x + 15)°.

Mathematics
1 answer:
Marizza181 [45]3 years ago
5 0

Answer:

Option C. 28

Step-by-step explanation:

From the question given,

m<HKM = 155°

m<JKL = (5x + 15)°

From the diagram,

m<HKM = m<JKL (since they are directly opposite)

Inputting the value of m<HKM and m<JKL into the above expression, we have:

m<HKM = m<JKL

m<HKM = 155°

m<JKL = (5x + 15)°

155 = 5x + 15

Collect like terms

155 – 15 = 5x

140 = 5x

Divide both side by 5

x = 140/5

x = 28

Therefore, the value of x is 28.

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Colin walked a distance of 15 miles in 6 hours. <br> Work out out
butalik [34]

Answer:

Colin walked 2.5 miles every hour

Step-by-step explanation:

The answer is 2.5 because 15 divided by 6 is 2.5

P.S Can I have brainliest?

8 0
2 years ago
The points ​(10​,14​) and ​(35​,49​) form a proportional relationship. Find the slope of the line through the points. Then use t
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The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5  or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


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6 0
2 years ago
Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).
Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}

Substitute m = 5/8 and the point (4,4) into the point slope form.

y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}

3 0
3 years ago
PLZZ HELP ITS AN EMERGENCY THIS IS DUE IN 30 MINUTES!!!​
Nataly_w [17]

Answer:

1.equation

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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