What additional information is necessary to prove triangle congruency, given a pair of congruent, corresponding angles?

Mathematics

1 answer:

GarryVolchara [31]3 years ago

4 0

Answer:

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When two pairs of corresponding angles and one pair of corresponding sides (not between the angles) are congruent, the triangles are congruent. When the hypotenuses and a pair of corresponding sides of right triangles are congruent, the triangles are congruent.

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Step-by-step explanation:

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4g + 3(-3 + 4g) = 1-g. Solve the equation. Can someone help me ASAP. I'm confused

Olegator [25]

4g+3(-3+4g)=1-g
Distribute the 3(-3+4g)
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Add 4g and 12g
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A) 11 and 12 B) 8 and 9 C 10 and 11 D 76 and 78

Valentin [98]

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Step-by-step explanation:

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diagrams are not drawn to scale. do numbers 10 and 12. i only care about the answers & the steps to get the answers. pls don

Stella [2.4K]

10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

The angle formed in a semicircle is 90 degrees, hence

$m\angle XYZ=90^{\circ}$

This gives

$m\angle YXZ\text{ + m}\angle YZX\text{ = 90}$

But

$\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}$

Substituting values we get

$\begin{gathered} 2x\text{ + 8 + 5x - 2 = 90} \\ 2x\text{ + 5x + 8 - 2 = 90} \\ 7x\text{ + 6 = 90} \\ 7x\text{ = 90 -6} \\ 7x\text{ = 84} \\ \text{divide both sides by 7} \\ x\text{ = }\frac{84}{7} \\ x\text{ = 12} \end{gathered}$

hence, x =12

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1 year ago

Which of the following uses the Distributive Property to determine the product 12(185) Question 6 options: a) 12(100) + 12(13) b

MariettaO [177]

Answer:

d) 12(100) + 12(80) + 12(5)

Step-by-step explanation:

According to the distributive property, if a,b, c, and d are real numbers, then

a(b+c+d)=ab+ac+ad

We want to find the product 12(185).

We can expand 185 as 100+80+5