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rjkz [21]
3 years ago
7

Answer help on this !

Mathematics
2 answers:
Arisa [49]3 years ago
8 0

If the triangles are similar, then the angles are all congruent.

Therefore, we can start by setting the two middle angles equal to each other.

4x + 7 = 5x - 10

7 = x - 10

x = 17

Middle angle = 75

Now that we know our x-value, we can simply plug in x for our other two expressions.

3 * 17 = 51

4(17) - 14 = 54

We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.

54 + 51 + 75 = 180

180 = 180

Hope this helps!! :)

pentagon [3]3 years ago
5 0

Answer:

54, 51, 75

Step-by-step explanation:

4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.

After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.

The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.

Your final lengths are 75,51,54.

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Match the following items.
Veseljchak [2.6K]

Answer:

1. h

2. k

3. d

4. j

5. m

6. n

7. a

8. l

9. e

10. c

11. f

12. i

13. g

14. b

Step-by-step explanation:

1. a quotient of two quantities  -> h. fraction

2. a quotient that involves variables  -> k. algebraic fraction

3. numbers that would result in division by zero  -> d. exclusions

4. multiply the numerators and multiply the denominators for a new fraction  -> j. multiplication of fractions

5. multiply by the reciprocal of the divisor  -> m. division of fractions

6. the denominators must be the same  -> n. addition of fractions

7. contains a fraction in the numerator, denominator, or with the denominator  -> a. complex fractions

8. a new fraction resulting from the interchanging of the numerator and denominator -> l. reciprocal  

9. the dividend of a fraction  -> e. numerator

10. the divisor in a fraction  -> c. denominator

11. the lowest common multiple of denominators  -> f. lowest common denominator

12. a combination of integral and fractional expressions  -> i. mixed expression

13. an equation that contains fractions  -> g. fractional equation

14. a statement that two fractions are equal  -> b. proportion

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3 years ago
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3 years ago
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Gnesinka [82]

Answer:

Step-by-step explanation:

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3 years ago
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Answer:

Below in bold.

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The standard quantity of metal per​ ring is 0.57 kilograms.

Step-by-step explanation:

Each ring requires 0.52 kilograms of a special metal.

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