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Debora [2.8K]
2 years ago
13

Find the value of X. Show your work. Congruent triangle

Mathematics
2 answers:
Stells [14]2 years ago
5 0

Answer:

x = 3

Step-by-step explanation:

exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles

97 + x = 64 + 27

x = 97 - 64 - 27 = 6

ella [17]2 years ago
5 0

Answer: x=-6

you know that the interior angles of a triangle equal 180°. so lets find the remaining angle measure

64 + 27 = 91

180 - 91 = 89

so 89 is the third interior angle of the triangle. now let's find the exterior angle.

you know that the extended angle is supplementary; which means it will equal 180° as well. so lets add the third interior angle we just found and let's add it to the unknown expression:

89 + <u>97 + x</u> = 180

186 + x = 180

-186        -186

x = -6

now it might seem wrong because x is negative and it feels like it should be positive. but let's check our answer.

64+27+89 does equal 180

and 97+(-6)+89 does equal 180

i hope this helps!

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At a grocery store the manager randomly selects 20 cartons of eggs, he finds 3 cartons with at least 1 broken egg. If the refrig
ivann1987 [24]

Answer:

You would expect 75 cartons with at least 1 broken egg.

There are likely to be 222 DVD players that are defective.

Step-by-step explanation:

Both examples given in this question represent a ratio of broken or defective to a sample number of cartons or DVD players.  In order to find how many would be broken or defective overall, you can set up equivalent ratios, or proportions.

Egg Cartons: \frac{broken}{#cartons}=\frac{3}{20}=\frac{x}{500}

'x' represents the number of cartons out of 500 that would be expected to have at least 1 broken egg.  To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 500 and then multiply the same factor by the numerator to find 'x'.  In this case 500/20 = 25, so the factor is 25.  3 x 25 = 75, so you have 75 expected cartons with a broken egg.

DVD Players:  \frac{defective}{#players}=\frac{3}{50}=\frac{x}{3700}

'x' represents the number of DVD players out of 3700 that would be expected to be defective.  To solve for 'x' you can cross-multiply and divide, or you can find what factor you would multiply the denominator by to get 3700 and then multiply the same factor by the numerator to find 'x'.  In this case 3700/50 = 74, so the factor is 74.  3 x 74 = 222, so you have 22 likely defective DVD players.

4 0
3 years ago
Which set of numbers is a solution to the inequality x + 2 &lt; 8?
GarryVolchara [31]

Answer:

‍♂️

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
25 + 20 + 45 + 34 + 21 =
Lana71 [14]

Let's solve it step-by-step:

25 + 20 = 45

45 + 45 = 90

90 + 34 = 124

124 + 21 = 145

Therefore:

25 + 20 + 45 + 34 + 21 = 125


Hope it helped,


BioTeacher101

3 0
3 years ago
Read 2 more answers
two complementary angles have a difference of 36°. Find the measure of each angle. (Complementary angles are angles that add up
ElenaW [278]

Answer:

27°,63°

Step-by-step explanation:

Let the two angles be a and b.

They are complementary, meaning they add up to 90. Thus:

a+b=90

And we are told their difference is 36. Therefore:

a-b=36

Solve for the system of equations. Add b to both sides in the second equation:

a=b+36

Substitute this into the first:

(b+36)+b=90

Combine like terms;

2b+36=90

Subtract 36:

2b=54

Divide by 2:

b=27

So, b is 27 degrees.

Use the second equation again:

a-b=36

Now that we know b is 27, substitute:

a-27=36

Add 27 to both sides:

a=63

So, a is 63 degrees.

And we're done :)

4 0
3 years ago
Read 2 more answers
4x + 5y = 30<br> 5x + 3y = 31
Natalka [10]

Answer:

y=2

x=5

trust me its by calculator

6 0
3 years ago
Read 2 more answers
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