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4 years ago

The sum of the interior angle measures is 180°. Find the value of X.

Mathematics

1 answer:

Dafna1 [17]4 years ago

5 0

Answer:

Step-by-step explanation:

By the Triangle Angle-Sum Theorem, the angles of a triangle add up to equal 180, regardless of the size of the triangle. We are given the angle measures, so adding them together and setting them equal to 180 is

60 + 3x + x + 20 = 180 and, combining like terms,

4x + 80 = 180. Subtracting 80 from both sides,

4x = 100 so

x = 25

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Please someone help me...

Savatey [412]

use $a^2-b^2=(a+b)(a-b)$

to get $(\cos^3A-\sin^3A)(\cos^3A+\sin^3A)$

then use $a^3+b^3=(a+b)(a^2+b^2-ab)$

and $a^3-b^3=(a-b)(a^2+b^2+ab)$

also, $\sin^2\theta+\cos^2\theta=1$

to get $(\cos A-\sin A)(1+\sin A\cos A)(\cos A+ \sin A)(1-\sin A\cos A)$

then again use the first identity In both pairs, i.e.

$(\cos A-\sin A)(\cos A+ \sin A) \cdot (1+\sin A\cos A)(1-\sin A\cos A)$

to get $\cos 2A (1-\sin^2A\cos^2A)$

multiply and divide by 4 to get the RHS.

because, $\sin(2A)= 2\sin A \cos A$

squaring both sides, $\sin^2 (2A)=4\sin^2A\cos^2A$

3 0

3 years ago

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Suppose you have three nickels in a jar, where the first has Heads on both sides, the second has Tails on both sides, and the th

Cerrena [4.2K]

Answer:

1/3

Step-by-step explanation:

Let A be the event that you grab the fair coin and B be the event that you toss a tail.

P(A) is the probability that you grab the fair coin, which is 1/3

P(B) is the probability that you toss a tail, which is 1/2

P(B|A) is the probability that you toss a tail, given that you grab a fair coin, which is 1/2

P(A|B) is the probability that you grab the fair coin, given that you toss a tail, which we are looking for.

Using Bayes probability theorem we have:

$P(A|B) = \frac{P(B|A)P(A)}{P(B)} = \frac{(1/2)*(1/3)}{1/2} = 1/3$

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4 years ago

A recipe for salad dressing calls for 3 tablespoons of oil for every 2 tablespoons of vinegar. The line represents the relations

gavmur [86]

Answer:

7494902937489237489187389478924890347

-748326765717854726`08762478`

Step-by-step explanation:

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3 years ago

Find the value of x for which m is parallel to n <br> A) 10<br> B) 12<br> C) 40<br> D) 52

Klio2033 [76]

Answer: $x=5\textdegree$

Explanation:

Since we have given that

line m and line n are parallel to each other,

So,

Corresponding angles are equal , as shown in the figure ,

According to question,

$19x\textdegree=180\textdegree-17x\textdegree\\\\19x\textdegree+17x\textdegree=180\\\\36x\textdegree=180\textdegree\\\\x=\frac{180}{36}\\\\x=5\textdegree$

Hence, $x=5\textdegree$

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4 years ago

Jenny is getting ready to go see "Black Christmas" with her friends and is trying to decide what to wear. She has 3 shirts : 1 b

Maksim231197 [3]

Answer:

2 outfits.

Step-by-step explanation:

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3 years ago

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