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3 years ago

14

Use the diagram to answer the questions.

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

No

Yes

Step-by-step explanation:

Let's find the inclination of the 3 lines.

m:

((-4) -3)/(0 - (-4))

-7/4

n:

((-2) -2)/(3 - 1)

-4/2

-2

k:

(1 -(-3)/(4 -(-3)

(1 +3)/4 +3

4/7

Okay, we find the inclination of all the three lines. For two lines be parallel, they have to have the same inclination. The inclination of m = -7/4 and the inclination of n = -2, so they're not parallel. And now, to know if m is perpendicular to k, they inclination have to be the opposite of the inverse of each other, so it means that they have to have opposite signals, and they need to be inverted fractions (for example a/b are inverted to b/a), and they are these two things: m = -7/4 and n = 4/7, so they're perpendicular

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The triangle below has a perimeter of 20. Solve for x

MrMuchimi

Answer:

x = 5

Step-by-step explanation:

Given that,

First side of a triangle = x+2

The second side of a triangle = 8

The third side of a triangle = x

We know that, perimeter is equal to the sum of all sides. So,

x+2+x+8 = 20

2x+10 = 20

2x = 10

x = 5

Hence, the value of x is equal to 5.

7 0

3 years ago

A right triangle (triangle 1) has measurements of a = 505 mm and b = 286 mm. What are the measurements for c, α, and β?

Nataly_w [17]

see the attached figure to better understand the problem

Step 1

<u>Find the value of c</u>

we know that

Applying the Pythagorean Theorem

$c^{2} =a^{2}+b^{2}$

we have

$a=505\ mm$

$b=286\ mm$

substitute the values in the formula

$c^{2} =505^{2}+286^{2}$

$c^{2} =336,821$

$c=580.36\ mm$

Step 2

<u>Find the value of angle A (α)</u>

we know that

in the right triangle ABC

$cos(A)=\frac{b}{c} \\ \\cos(A)=(286/580.36)\\ \\A=arc\ cos(286/580.36)\\ \\A=60.48\ degrees$

Step 3

<u>Find the angle B (β)</u>

we know that

in the right triangle ABC

angle A and angle B are complementary angles

so

A+B=90

solve for B

B=90-A-------> B=90-60.48-----> B=29.52°

therefore

<u>the answers are</u>

a) the measure of side c is 580.36 mm

b) the measure of the angle α is 60.48°

c) the measure of the angle β is 29.52°

7 0

3 years ago

Which of the following values of r will result in a true statement when substituted into the given equation?

wariber [46]

I think that it is A I guessed

5 0

3 years ago

I need the answers please.

Brrunno [24]

Answer:

$y=\frac{-5}{3}x+200\\$

Step-by-step explanation:

$slope=\frac{rise}{run}$

$\frac{-5}{3}$

y-int = 200

$y=\frac{-5}{3}x+200\\$

<em>good luck, i hope this helps :)</em>

8 0

3 years ago

Read 2 more answers

10 divided 2-3(5times0)

artcher [175]

Answer:

5

Step-by-step explanation:

10÷2-3 (5×0)

10÷2-3×0
5-0
5

3 0

4 years ago