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2 years ago

The sum of the measures of two adjacent angles is 72 degrees. The ratio of the smaller angle to the

Mathematics

1 answer:

Goryan [66]2 years ago

4 0

Answer:

The larger angle is 54°

Step-by-step explanation:

Given

Let the angles be: θ and α where

θ > α

Sum = 72

α : θ = 1 : 3

Required

Determine the larger angle

First, we get the proportion of the larger angle (from the ratio)

The sum of the ratio is 1 + 3 = 4

So, the proportion of the larger angle is ¾.

Its value is then calculated as:.

θ = Proportion * Sum

θ = ¾ * 72°

θ = 3 * 18°

θ = 54°

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(2x +1) -7 (-6x+9) what is the answer if using the Distributive Property?

Margarita [4]

Answer:

Step-by-step explanation:

Distributive property: a(b +c) = a*b + a*c

(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9

= 2x + 1 + 42x - 63 {Combine like terms}

= 2x + 42x + 1 - 63

= 44x - 62

5 0

2 years ago

Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of ? Why or why not?

Nady [450]

Answer:

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.

Step-by-step explanation:

Comparing the corresponding sides, the length of AB is 4. The length of MN is 10. This makes their ratio 4/10 = 2/5.

The length of CD is 2. The length of QP is 6. this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

8 0

3 years ago

Read 2 more answers

2:10:16 ratio simpification (I know the answer, but i need the working)

likoan [24]

Step-by-step explanation:

2:10:16=2/10=1/5÷16

 $1 \div 5 \div 16$ 

1/5×1/16

=1/80

5 0

2 years ago

A marketing firm is considering making up to three new hires. Given its specific needs, the management feels that there is a 50%

IRISSAK [1]

Answer:

a) 0.9

b) Mean = 1.58

Standard Deviation = 0.89

Step-by-step explanation:

We are given the following in the question:

A marketing firm is considering making up to three new hires.

Let X be the variable describing the number of hiring in the company.

Thus, x can take values 0,1 ,2 and 3.

$P(x\geq 2) = 50\%= 0.5\\P(x = 0) = 10\% = 0.1\\P(x = 3) = 18\% = 0.18$

a) P(firm will make at least one hire)

$P(x\geq 2) = P(x=2) + P(x=3)\\0.5 = P(x=2) + 0.18\\ P(x=2) = 0.32$

Also,

$P(x= 0) +P(x= 1) + P(x= 2) + P(x= 3) = 1\\ 0.1 + P(x= 1) + 0.32 + 0.18 = 1\\ P(x= 1) = 1- (0.1+0.32+0.18) = 0.4$

$\text{P(firm will make at least one hire)}\\= P(x\geq 1)\\=P(x=1) + P(x=2) + P(x=3)\\ = 0.4 + 0.32 + 0.18 = 0.9$

b) expected value and the standard deviation of the number of hires.

$E(X) = \displaystyle\sum x_iP(x_i)\\=0(0.1) + 1(0.4) + 2(0.32)+3(0.18) = 1.58$

$E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89$

7 0

3 years ago

Solve for d. d³ = 27

solniwko [45]

Answer: d=3

Step-by-step explanation: 3 times 3 is 9

9 times 3 is 27

3 0

2 years ago

Read 2 more answers