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luda_lava [24]
3 years ago
14

Congruency and similarity

Mathematics
1 answer:
postnew [5]3 years ago
3 0

A triangle is 180°, so the 3 angles should add up to 180°.

To find m∠R, you can do this:

m∠S + m∠R + m∠T = 180°

56° + m∠R + 30° = 180°      

m∠R + 86° = 180°   Subtract 56 and 30 on both sides

m∠R = 94°

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Jet001 [13]

Answer:

Three equivalent expressions are -3(5-2x), 6x-15, and 3(2x-5).

Step-by-step explanation:

They are equivalent because they equal the same value for x and make the same answer.

6 0
2 years ago
**Please help! - What is the equation in standard form of the line that has x-intercept -4 and y-intercept 3.
NeTakaya
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4 0
2 years ago
Please help! 30 points!
Rashid [163]

Answer: 64.2^{\circ}

Step-by-step explanation:

According to the cosine rule

\cos C=\dfrac{a^2+b^2-c^2}{2ab}

Here, a=83, b=111, c=165,\ C=180^{\circ}-\theta

Putting values

\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}

So, the ship turns by 64.2^{\circ} north of west

8 0
3 years ago
Which equation represents a proportional relastionship that has a constant of proportionality equal to 4/5
enyata [817]

Answer:

y= 4/5x

Step-by-step explanation:

A proportional relationship has an equation of the form y = mx. It passes through the origin.

y= 4/5x is the only equation which is in this form.

6 0
3 years ago
Tonya and Pearl each completed a separate proof to show that the alternate interior angles AKL and FLK are congruent. Who comple
Keith_Richards [23]

Answer: Pearl

Step-by-step explanation:

In step 2, she justified her step by the definition of vertical angles. However, angles AKL and GKB do not share a common side, meaning they are not adjacent angles.

4 0
1 year ago
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