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horrorfan [7]
3 years ago
9

What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vert

ex A lies above side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as 2 x plus 7. The length of side A B is labeled as 4 x minus 7. The length of side B C is labeled as 4 x.
Mathematics
1 answer:
harina [27]3 years ago
6 0

Answer:

The length of BC = 28 units

Step-by-step explanation:

* In triangle ABC

∵ Angles B and C are congruent

∴ m∠B = m∠C

* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length

∴ AB = AC

∵ AB = 4x - 7

∵ AC = 2x + 7

∴ 4x - 7 = 2x + 7 ⇒ collect like terms

∴ 4x - 2x = 7 + 7

∴ 2x = 14 ⇒ divide both sides by 2

∴ x = 14 ÷ 2 = 7

* Now we can find the length of BC

∵ The length of BC = 4x ⇒ substitute the value of x

∴ The length of BC = 4 × 7 = 28 units

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3 years ago
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Katyanochek1 [597]

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Step-by-step explanation:

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6 0
3 years ago
Franklin weighs 46,266,400 milligrams and his baby brother weighs 4,535.9 grams. What la there total weight in kilograms?
amm1812

Answer:

Exact: 50.8064

Rounded to nearest whole #: 51

Step-by-step explanation:

Our units are: Milligrams, Grams, and Kilograms. For Reference;

Miligrams are 1 million (1,000,000) times smaller than kilos.

Grams are 1 thousand (1,000) times smaller than kilos.

If we divide Franklins weight, 46,266,400 mg, by 1,000,000, our answer is  46.2664 kg, 46 if we round it.

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Now simply add our two answers and you have both of their weight combined.

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Any questions? Just ask me. Thanks.

5 0
2 years ago
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