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alexgriva [62]
3 years ago
13

Find the measure of

Mathematics
1 answer:
yaroslaw [1]3 years ago
4 0

Answer:

∠ HGL = 73°

Step-by-step explanation:

KL is a midsegment of the triangle and is parallel to HG, then

∠ KLJ = ∠ HGL ( corresponding angles ), so

9x - 62 = 5x - 2 ( subtract 5x from both sides )

4x - 62 = - 2 ( add 62 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

∠ HGL = 5x - 2 = 5(15) - 2 = 75 - 2 = 73°

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Sarah and her friends laid down two beach blankets. The blankets are the same length but of different widths. The distributive p
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Answer:The width of the orange blanket is 23 inches.

Step-by-step explanation:

The total of both lengths is 75.We know  that the green blanket is 52 so 75-52 = 23 which is the width of the orange blanket

7 0
3 years ago
3
lara31 [8.8K]

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

5 0
3 years ago
You and a friend stand back to back. You run 20 feet forward, then 15 feet to your right. At the same time, your friend runs 16
Stells [14]

Answer:

Distance traveled by the snowball  = 45feet

Step-by-step explanation:

The distance traveled by the snowball = distance of hypothenus for both Right angle triangle

1st pythagoras =

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X = (20² + 15²)¹/² = 25 feet

2nd pythagoras =

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X = (16² + 12²)¹/² = 20 feet

Distance traveled by the snowball = 20 + 25 = 45feet

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3 years ago
Read 2 more answers
Identify the two pairs of complementary angles in the figure above. Justify your answer.
wolverine [178]

Answer:

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

Step-by-step explanation:

the two solid lines are perpendicular, creating 4 right angles

1st pair of complementary angles: ∠c + ∠d

2nd pair of complementary angles: ∠g + ∠h

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Find the area of the semicircle.
Semenov [28]

Answer:

241.5602

Step-by-step explanation:

Area of a semicircle is \frac{1}{2}π(r^{2})

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3 years ago
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