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Genrish500 [490]
3 years ago
9

The image below shows two parallel lines cut by a transversal. What is the value of x?

Mathematics
2 answers:
charle [14.2K]3 years ago
4 0

The answer is <em><u>b</u></em> for bl∅∅d

Step-by-step explanation:

∅

Nina [5.8K]3 years ago
3 0
Since the two lines are parallel and it is cut by a transversal,
75+X+5=180
=>80+X=180
=>X=180-80
==>X=100
Hope this helps u...!!!!!
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In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
Varvara68 [4.7K]

Answer:We can use equations to represent the measures of the angles described above. One equation might tell us the sum of the angles of the triangle. For example,

x + y + z = 180

We know this is true, because the sum of the angles inside a triangle is always 180 degrees. What is w? We don't know yet. But, we may observe that the measure of angle w plus the measure of angle z = 180 degrees, because they are a pair of supplementary angles. Notice how Z and W together make a straight line? That's 180 degrees. So, we can make a new equation:

w + z = 180

Then, if we combine the two equations above, we can determine that the measure of angle w = x + y. Here's how to do that:

x + y + z = 180 (this is the first equation)

w + z = 180 (this is the second equation)

Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:

x + y + (180 - w) = 180

x + y - w = 0

x + y = w

Interesting. This tells us that the measure of the exterior angle equals the total of the other two interior angles. In fact, there is a theorem called the Exterior Angle Theorem which further explores this relationship:

Exterior Angle Theorem

The measure of an exterior angle (our w) of a triangle equals to the sum of the measures of the two remote interior angles (our x and y) of the triangle.

Let's try two example problems.

Example A:

If the measure of the exterior angle is (3x - 10) degrees, and the measure of the two remote interior angles are 25 degrees and (x + 15) degrees, find x.

First example of finding an exterior angle

To solve, we use the fact that W = X + Y. Note that here I'm referring to the angles W, X, and Y as shown in the first image of this lesson. Their names are not important. What is important is that an exterior angle equals the sum of the remote interior angles.

6 0
3 years ago
Two restaurants each surveyed diners to find out the ages of people eating at their restaurants. The box plots show the results
ipn [44]

Answer:

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Step-by-step explanation:

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2 years ago
Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change. How much did each avocado cost i
Delvig [45]

Answer:

$1.10

Step-by-step explanation:

We have been that Alex went to the grocery store and bought 5 avocados. He paid $10 and received $4.50 in change.

First of all, we will find amount paid for 5 avocados by subtracting $4.50 from $10.

\text{Amount paid for 5 avocados}=\$10-\$4.50

\text{Amount paid for 5 avocados}=\$5.50

Now, we will divide $5.50 by 5 to find cost of each avocado.

\text{Cost of each avocado}=\frac{\$5.50}{5}

\text{Cost of each avocado}=\$1.10

Therefore, the cost of each avocado is $1.10.

3 0
3 years ago
A CD usually sells for $14.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
Vikki [24]
10% of 14 =1.4
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3 years ago
Examine the equation. − 1 3 ( 2 3 x + 5 ) = − 4 3 ( 1 2 x − 8 ) Which equation correctly uses the distributive property and prop
monitta

Answer:

<em>It is D.4/9x=37/3</em>

Step-by-step explanation:

i took the test

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