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bekas [8.4K]
2 years ago
8

Which of the following is the equation of the line that is parallel to y=3/5x+8 and goes through point (-10,4)?

Mathematics
1 answer:
ioda2 years ago
8 0

Answer:

D.

Step-by-step explanation:

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5) In the figure, triangle ABC is a right triangle at B. If CD = 15, find BC to the nearest tenth.
ycow [4]

Answer:

BC ≈ 4.0

Step-by-step explanation:

∠ DCA = 180° - 70° = 110° ( adjacent angles )

∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle

∠ DAC = 180° - 140° = 40°

Using the Sine rule in Δ ACD to find common side AC

\frac{AC}{sin30} = \frac{15}{sin40} ( cross- multiply )

AC × sin40° = 15 × sin30° ( divide both sides by sin40° )

AC = \frac{15sin30}{sin40} ≈ 11.668

Using the cosine ratio in right triangle ABC

cos70° = \frac{adjacent}{hypotenuse} = \frac{BC}{AC} = \frac{BC}{11.668} ( multiply both sides by 11.668 )

11.668 × cos70° = BC , then

BC ≈ 4.0 ( to the nearest tenth )

6 0
3 years ago
Last year, the school library had a total of x books. Over the summer, the library acquired another 31 books and now has a total
tester [92]

Answer:

A is your answer.

Step-by-step explanation:

6 0
3 years ago
Solve: -1/4 (2x + 8) = -6​
vredina [299]

Answer:

x = 8

Step-by-step explanation:

-1/4 (2x + 8) = -6​

Multiply both sides by -4.

2x + 8 = 24

Subtract 8 from both sides.

2x = 16

Divide both sides by 2.

x = 8

3 0
3 years ago
I need to know this please help
Lilit [14]

x + 72 = 180

y = 72 (vertical angles)

x = 108

z = 90 - 72

z = 18

7 0
3 years ago
Read 2 more answers
A dot plot is a graph that displays data by using dots plotted above a number line.
Vikentia [17]

True, because dot plots usually look like this

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__________________________________

1               2               3               4               5    

As you can see, the dots are above the line.        

8 0
2 years ago
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