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Ganezh [65]
3 years ago
13

What is the value of x?

Mathematics
2 answers:
wariber [46]3 years ago
4 0
I'm pretty sure the answer is A. 66 degrees.  I hope this helps.
Sonja [21]3 years ago
3 0

Answer:

A. 66^{\circ}.

Step-by-step explanation:

We have been given an image of two angles. We are asked to find the value of x.

Upon looking at our given image we can see that the measure of one angle is 110 degrees and measure of second angle is x.

We can also see that both angle add up-to 176 degrees, so we can set an equation as:

x+110^{\circ}=176^{\circ}

Let us solve for x.

x+110^{\circ}-110^{\circ}=176^{\circ}-110^{\circ}

x=66^{\circ}

Therefore, measure of x is 66 degrees and option A is the correct choice.

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HELP! I don't understand so please give a detailed explanation.
likoan [24]

From the picture, we can see that ΔLSP and ΔLRN are similar, so corresponding sides are proportionate:


LN : LP = 28:12 = 7:3


Therefore, the LRN sides is 7/3 of the corresponding side of LSP.


Then, it states that the area of LSP = 50, and area of a triangle is (1/2)bh, so we set up the equation


Area of LSP = (1/2)bh = 50 ← Remember how the corresponding sides are 7/3 of LSP? Therefore, the area of LRN:


LRN = (1/2)(7b/3)(7h/3) ← Take out the 7/3 and multiply them together

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