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sineoko [7]
4 years ago
11

What is m∠S? Enter your answer in the box. ° An isosceles triangle with vertices labeled R, S, and T. Side R T is the base. Side

s R S and side S T are equal. Angle R is labeled as 3 x degrees, angle S is labeled as 2 x degrees, and angle T is labeled as 3 x degrees.
Mathematics
1 answer:
yulyashka [42]4 years ago
5 0

Answer:

m<S = 45°

Step-by-step explanation:

The sum of the measures of the angles of a triangle equals 180 deg.

m<R + m<S + m<T = 180

3x + 2x + 3x = 180

8x = 180

x = 22.5

m<S = 2x = 2(22.5) = 45

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If two of these shapes are randomly chosen, one after the other without replacement, what is the probability that the first will
aleksandrvk [35]

Answer:

P(T\ n\ S) = \frac{1}{14}

Step-by-step explanation:

*Missing Part of the Question*

4 stars

5 triangles

3 circles

3 squares

Required

Determine the probability of triangle being first then square being second

Total = 4 + 5 + 3 + 3

Total = 15

Represent the triangle with T and square with S

So, we're solving for P(T n S)

P(T\ n\ S) = P(T) * P(S)

Solving for P(T)

P(T) = \frac{n(T)}{Total}

P(T) = \frac{5}{15}

Solving for P(S)

The question implies a probability without replacement;

Hence Total has now been reduced by 1

Total = 14

P(S) = \frac{n(S)}{Total}

P(S) = \frac{3}{14}

Recall that

P(T\ n\ S) = P(T) * P(S)

P(T\ n\ S) = \frac{5}{15} * \frac{3}{14}

P(T\ n\ S) = \frac{15}{15 * 14}

P(T\ n\ S) = \frac{1}{14}

Hence, the required probability is

P(T\ n\ S) = \frac{1}{14}

3 0
3 years ago
ANSWER PLZ QUICK AND FAST
kherson [118]

Half of n, is option D, n/2.

This is because if you divide something by 2, you are dividing it in half.

Hope this helps!

3 0
3 years ago
A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

                          \frac{1}{2}  b (12)  = 54

now simplification, we get

                           6 b = 54

Dividing '6' on both sides, we get

                             b = 9

The base of the triangle = 9 inches

<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

6 0
3 years ago
What is the slope of (8,10), (-7,14)
Murrr4er [49]
Reduce the expression, if possible, by cancelling the common factors.

Exact Form:
−4/15

Decimal Form:
−0.26

Basically do
y2-y1 divided by x2-x1
14-10 divided by -7-8
which equals -4/15
3 0
3 years ago
Read 2 more answers
What is the measure of angle x? Answer in box. X=? Look at pic to answer
Novosadov [1.4K]
83deg is the value of angle x. Thanks!
5 0
3 years ago
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