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1 year ago

If m∠DEF = 117°, find the value of x

Mathematics

1 answer:

ollegr [7]1 year ago

4 0

Answer:

x = 7

Step-by-step explanation:

Given:

∠DEF = 117°

∠DEG = (12x + 1)°

∠GEF = (5x - 3)°

Find:

value of x

Computation:

∠DEF = ∠DEG + ∠GEF

117° = (12x + 1)° + (5x - 3)°

117° = 17 x - 2

x = 7

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The formula for the volume of a sphere is mc012-1.jpg. What is the formula solved for r? mc012-2.jpg mc012-3.jpg mc012-4.jpg mc0

NikAS [45]

Cannot see your image, but the formula for the volume of a sphere is
V=(4/3)πr³
to solve for r: r³=v÷(4/3)π=v*3/(4π)=3v/(4π) (three v out of 4 pi)
r=∛(3v/4π)
r equals the cubic root of (three v over 4π)

3 0

2 years ago

Read 2 more answers

Which expression is equivalent to mc003-1.jpg?

Nookie1986 [14]

Answer:

Option A is correct

The expression which is equivalent to $(f\cdot g)(5)$ is $f(5) \cdot g(5)$

Step-by-step explanation:

Using the formula:

$(f \cdot g)(x) = f(x) \cdot g(x)$ .....[1]

Given the expression:

$(f\cdot g)(5)$

Substitute the value of x = 5 in [1]

we get;

$(f \cdot g)(5) = f(5) \cdot g(5)$

Therefore, the expression which is equivalent to $(f\cdot g)(5)$ is $f(5) \cdot g(5)$

8 0

1 year ago

Read 2 more answers

We flip a fair coin five times. For every heads you pay me $1 and for every tails I pay you $1. Let X denote the my net winning

TEA [102]

Answer:

The probability mass of X is 0.03

Step-by-step explanation:

If we set the winning requirement of your heads and my tails then the occurring possibility of both is 1/2 or 0.5.

Hence let us make a graph and use the figures to calculate the all the probabilities of you getting a heads.

Where X represents the number of dollars won during the flip of the coin, probability of heads represent the chances of occurrence of the value and of winning the dollars.

The probability of winning start to drop as the winning amount increases.

X 0 1 2 3 4 5

Probability of Heads 0 0.50 0.25 0.13 0.06 0.03

8 0

1 year ago

Is AB parallel to Bo? Explain.

Svetradugi [14.3K]

Answer:

AB parallel to CD because both lines have a slope of

of 4/3

Step-by-step explanation:

The question is not complete, there is no graph.

A graph for the question is attached below.

From the image attached below, line 1 passes through points A = (-3, -3) and point B = (0, 1) while line 2 passes through point C = (0, -5) and point D = (3, -1).

Two parallel are said to be parallel if the have the same slope. The slope of a line passing through points:

$(x_1,y_1)\ asnd\ (x_2,y_2).\ The\ slope \ is\ given\ as:\\\\Slope(m)=\frac{y_2-y_1}{x_2-x_1}$

Line 1 passes through points A = (-3, -3) and point B = (0, 1), the slope of line 1 is:

$Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{1-(-3)}{0-(-3)}=\frac{1+3}{0+3}=\frac{4}{3}$

Line 2 passes through point C = (0, -5) and point D = (3, -1). the slope of line 2 is:

$Slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-5)}{3-0}=\frac{-1+5}{3}=\frac{4}{3}$

Therefore AB parallel to CD because both lines have a slope of

of 4/3

7 0

1 year ago

The volume inside of a sphere is V=4πr33 where r is the radius of the sphere. Your group has been asked to rearrange the formula

Semmy [17]

Answer:

Therefore,

$r=\sqrt[3]{\frac{3V}{4\pi }}$

is the required r

Step-by-step explanation:

Given:

Volume of inside of the sphere is given as

$V=\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere

To Find:

r =?

Solution:

We have

$V=\frac{4}{3} \pi r^{3}$ ......Given

$3\times V=4\pi r^{3} \\\\\therefore r^{3}=\frac{3V}{4\pi } \\\\\therefore r=\sqrt[3]{\frac{3V}{4\pi }} \textrm{which is the expression for r}$

Therefore,

$r=\sqrt[3]{\frac{3V}{4\pi }}$

is the required r

5 0

1 year ago