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Andrews [41]
4 years ago
8

3 lines are shown. A line with points T, R, W intersects a line with points V, R, S at point R. A line extends from point R to p

oint Z between angle V R W. Angle V R T is (5 x) degrees and angle T, R, S is (25 x + 30) degrees.
In the diagram, what is the measure of AngleWRS?
Mathematics
1 answer:
monitta4 years ago
3 0

Answer:

25 degrees

Step-by-step explanation:

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Which of the following is less than 527 m?
Andru [333]
1m = 100cm = 1000mm = 1,000,000,000nm
1Mm = 1,000,000m

A. 0.000699 Mm = 0.000699 · 1,000,000 m = 699 m

B. 914,879,710 nm = (914,879,710 : 1,000,000,000) m = 0.914879710 m

C. 51,723 cm = (51,723 : 100) m = 517.23 m

Answer: C. 51,723 cm = 517.23 m ≈ 527 m
8 0
3 years ago
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Answer:

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5 0
3 years ago
Read 2 more answers
Solve: Mike rolls two number cubes. What is the probability that the sum of the two number will be less than 4?
galina1969 [7]

The probability that the sum of the two number will be less than 4 is \frac{1}{12}

Explanation:

It is given that Mike rolls two number cubes.

It is given by the sample space S.

Let A be the event that the sum of the two number will be less than 4.

The sample space is given by

S=\left\{\begin{array}{l}(1,1),(1,2),(1,3),(1,4),(1,5),(1,6) \\(2,1),(2,2),(2,3),(2,4),(2,5),(2,6) \\(3,1),(3,2),(3,3),(3,4),(3,5),(3,6) \\(4,1),(4,2),(4,3),(4,4),(4,5),(4,6) \\(5,1),(5,2),(5,3),(5,4),(5,5),(5,6) \\(6,1),(6,2),(6,3),(6,4),(6,5),(6,5)\end{array}\right.

Hence, the total probability of the sample space is P(S)=36

To determine the probability of the sum of the two number will be less than 4, we need to add the outcomes of the two numbered cubes which results in the value less than 4.

Thus, we get,

A=(1,1),(1,2),(2,1)

Thus,

P(A)=3

The probability that the sum of the two number will be less than 4 is given by

\frac{P(A)}{P(S)} =\frac{3}{36}

\frac{P(A)}{P(S)} =\frac{1}{12}

Thus, the probability that the sum of the two number will be less than 4 is \frac{1}{12}

4 0
3 years ago
-
RSB [31]

Answer:

Step-by-step explanation:

3x² - 3x + 7 = 0

a = 3 ; b = -3 and c = 7

D = b² - 4ac = (-3)² - 4*3*7

D = 9 - 84 = - 75

D = 75i²

√D = √75i² = \sqrt{5*5*3 * i * i}= 5i\sqrt{3}

x = \dfrac{-b+\sqrt{D}}{2a}  \ ; \  x=\dfrac{-b-\sqrt{D}}{2a}\\\\ \\x=\dfrac{3+5i\sqrt{3}}{6} ; \ ; x = \dfrac{3-5i\sqrt{3}}{6}\\\\\\x =\dfrac{3}{6}+\dfrac{5i\sqrt{3}}{6} ; \ ; x=\dfrac{3}{6}-\dfrac{5i\sqrt{3}}{6}\\\\\\Solution:\\\\x=\dfrac{1}{2}+\dfrac{5\sqrt{3}}{6}i ; \ ; x=\dfrac{1}{2}-\dfrac{5\sqrt{3}}{6}i

5 0
2 years ago
The shape in the figure is constructed from several identical squares. If the side of each square is 1 unit, what is the area an
alexdok [17]

Answer:

Area: 7 units²

Perimeter: 14 units

Step-by-step explanation:

Area of each square:

1 unit × 1 unit = 1 unit²

There are 7 squares:

1 unit² × 7 (squares) = 7 units²

The area of the shape is 7 units².

The perimeter of the shape is the length of the outer sides.

1 + 1 + 1 + 1/2 + 1/2 + 1 + 1 + 1/2 + 1 + 1/2 + 1 + 1 + 1 + 1 + 1 + 1 =  14 units

5 0
4 years ago
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