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elena-14-01-66 [18.8K]
2 years ago
5

The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.

Mathematics
2 answers:
larisa86 [58]2 years ago
8 0

Answer:

59

Step-by-step explanation:

x + x + (2x + 3)° + (2x + 3)° = 360°

6x + 6 = 360

6x = 354

x = 59

emmasim [6.3K]2 years ago
7 0

Answer:

x = 59

Step-by-step explanation:

Since the angles of a quadrilateral add up to 360°, simply set the sum of all the angles to 360°:

x + x + (2x + 3) + (2x + 3) = 360

Combine like terms:

2x + 4x + 6 = 360

6x + 6 = 360

Get the x's on one side:

6x = 360 - 6

6x = 354

Solve by dividing by 6:

x = 59

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Give the appropriate theorem or postulate that can
Ratling [72]

Answer:

Step-by-step explanation:

<ACB = <ECD    

These 2 angles are vertically opposite and are equal.

<B = <D

They are both right angles are therefore equal.

The answer is the AA postulate.

A

Note

ASA is a congruence postualate. If S is between two angles that can be shown to be corresponding and equal, then you will have 2 congruent triangles.

SSS if three sides of 1 triangle = 3 sides of a second triangle, then the 2 triangles are congruent. If the the three sides of one triangle are in a ratio with 3 sides of the other triangle, then the triangles could be similar, but that is not the case here.

SAS this is the terminology for congruence as well. We don't know enough to use it for similarity. Some sort of ratio would have to be mentioned to do that.

You are intended to use AA as your answer.

8 0
2 years ago
Look at all the measurements in model 4. when a number in scientific notation is changed to expanded notation, are any of the ad
zheka24 [161]
Yes, the added zeros are significant. Lets say you are converting 1.23 x 10 to the power of 4. The answer would be 12,300 in which case, if you took away the zeros, the number would be 123, which is an incorrect answer.

Hope this makes sense and helps!
4 0
3 years ago
Read 2 more answers
I need help i dont understand this,and j have and i have a big test coming up please help thanks
levacccp [35]
Since both of the angles are supplementary, you'd set the expressions up into an equation equal to 180(degrees).
So, your equation should look like:
                       22x + 4 + 35x + 5 = 180.
Next, you combine your like terms so that your next move will look like:
                       57x + 9 = 180.
Then you'd follow the subtraction and division property, so your next moves will look as the following:
                       57x + 9 - 9 = 180 - 9 equals 171
                       57x / 57 = 171 / 57 equals 3
So, finally, your answer is: x = 3.
7 0
3 years ago
×square minus3× minus 10=0
nika2105 [10]
X²-3x-10=0
x²-(5-2)x-10=0
x²-5x+2x-10=0
x(x-5)+2(x-5)
(x-5)(x+2)
6 0
3 years ago
Logan and his friend went out to dinner and spent $18.50.They left a tip of $2.59.
maria [59]
To find this out, use a percent proportion, use cross products, and solve the equation.

\frac{2.59}{18.50}= \frac{p}{100} \\ 18.50p=259 \\  \frac{18.50p}{18.50}= \frac{259}{18.50} \\ p=14

So, the percent tip is 14%.
7 0
3 years ago
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