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Elena-2011 [213]

3 years ago

9

Two parallel lines, e and f, are crossed by two transversals. What is the measure of <15? m<15 = 77° m<15 = 83° m<15

= 93° m<15 = 97°

2 answers:

velikii [3]3 years ago

5 0

I would say m<15 is 97 because they are alternating exterior which makes them corresponding angles
the answer is m<97

Damm [24]3 years ago

3 0

Answer:

The correct option is 4.

Step-by-step explanation:

Given information: $e\parallel f$ and $\angle 10=97^{\circ}$ .

If a transversal line intersects two parallel lines, then alternate exterior angles are same.

In the given figure line e and f are parallel to each other. The transversal line d intersects the parallel lines.

Since angle 10 and angle 15 are alternate exterior angles, therefore

$\angle 10=\angle 15$

$97^{\circ}=\angle 15$

Therefore measure of angle 15 is 97 degrees and option 4 is correct.

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Solve for c: c=5 5/6 x 2

Marina86 [1]

Hi there!

c=11 2/3

<u><em>1.Convert 5 5/6 into mixed number:</em></u>

<u><em /></u> $5 \frac{5}{6}=\frac{35}{6}$ <u><em /></u>

<u><em>2.Convert 2 into fraction term:</em></u>

<u><em /></u> $2=\frac{2}{1}$ <u><em /></u>

<u><em>3.Convert both fraction into same denominator:</em></u>

<u><em /></u> $\frac{35}{6}=\frac{35}{6}$ <u><em /></u>

<u><em /></u> $\frac{2}{1}=\frac{12}{6}$ <u><em /></u>

<u><em>4.Multiply the two terms:</em></u>

<u><em /></u> $\frac{35}{6}$ <u><em>·</em></u> $\frac{12}{6}=\frac{70}{6}$ <u><em /></u>

<u><em>5.Simplfly the fraction term:</em></u>

<u><em /></u> $\frac{70}{6}=\frac{35}{3}$ <u><em /></u>

<u><em /></u> $\frac{35}{3}=11 \frac{2}{3}$ <u><em /></u>

Therefore, c=11 2/3.

<u><em /></u>

4 0

3 years ago

What is the answer for 6a + 5a = -11

gayaneshka [121]

A= -1
You add the 6a and 5a.
Your equation is then 11a= -11
At this point you divide each side by 11 to get "a" by itself.

7 0

3 years ago

Read 2 more answers

Given B(17,5), C(11, -3), D-1, 2), and<br> E(x, -6), find the value of x so that BC || DE.

son4ous [18]

Answer:

$x=-7$

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are the same.
Two lines are perpendicular if their slopes are negative reciprocals.
And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

We want to find the value of x such that $\overline{BC}\parallel\overline{DE}$ .

Therefore, the slopes of BC and DE must be equivalent.

So, let's find the slope of BC first.

BC)

We can use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let B(17, 5) be (x₁, y₁) and let C(11, -3) be (x₂, y₂). Substitute:

$m=\frac{-3-5}{11-17}$

Subtract:

$m=-8/-6=4/3$

So, the slope of BC is 4/3.

DE)

Let D(-1, 2) be (x₁, y₁) and let E(x, -6) be (x, y₂). Substitute:

$m=\frac{-6-2}{x-(-1)}$

We know that the two slopes must be equal. So, the slope of DE must also be 4/3. Substitute 4/3 for m:

$\frac{4}{3}=\frac{-6-2}{x-(-1)}$

Solve for x. Simplify the right:

$\frac{4}{3}=\frac{-8}{x+1}$

Cross multiply:

$4(x+1)=-8(3)$

Multiply on the right:

$4(x+1)=-24$

Divide both sides by 4:

$x+1=-6$

Subtract 1 from both sides:

$x=-7$

So, the value of x is -7.

And we're done!

6 0

3 years ago

Guys look at the pic of the park and read the question I need this ASAP WITH ALL STEPS the choices are

Alik [6]

Answer:

A. 821.5 Square Yards

Step-by-step explanation:

30 x 30= 900

900 is the area for the whole park

To find the pool area you need to do pi times Radius squared

so 3.14 x 5 x 5

That equals 78.5 for the pool area.

So to find the grass area you need to subtract the pool area from the park

900 - 78.5 = 821.5 square yards!

5 0

3 years ago

HELPPPPPPPPPPPPPPPPP

emmasim [6.3K]

For this case, what you should see is where the graph cuts the x-axis.
Notice that the graph cuts to the x axis in three different points.
Then the value of x that is in the domain of the function in this case is:
x = 1
For this value of x the function is zero.
Answer:
x = 1

5 0

3 years ago

Read 2 more answers