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Lera25 [3.4K]
3 years ago
12

NEED ASAP Triangle XYZ is similar to triangle PDQ. The measures of the angles in triangle XYZ are shown in the table. What is th

e measure of angle D?

Mathematics
1 answer:
Effectus [21]3 years ago
6 0

Answer:

measure angle D = 62

Step-by-step explanation:

as the sum  of measures of triangle =180

then (8x-40)+(4x-10)+(3x+20)=180

15x-30=180

x=(180+30)/15=14

XYZ SIMILAR TO PDQ

Y=D=3*14+20=62

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Number of weeks in a year divided by 6, then multiply that answer by $108
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3 years ago
Alice, Bertie and Cara like to spend time outdoors. One of them is an avid
sergij07 [2.7K]

Answer:

Cara.

Step-by-step explanation:

Cara went to an Island.

8 0
3 years ago
The perimeter of a rectangular field is 84 yards. The ratio of the length to the width is 2:1. What are the length, width and ar
Ivenika [448]

Given:

  • the perimeter of a rectangular field is 84 yards
  • the ratio of the length to the width is 2:1

To find:

  • the length
  • the width
  • the area

Answer:

Let's assume that the length is 2x and the width is 1x.

We know that the formula to find the perimeter of a rectangle is as follows:

Perimeter = 2 × (Length + Width)

Substituting the values that we have, into the formula above,

84 = 2 × (2x + 1x)

84 = 2 × 3x

84/2 = 3x

42 = 3x

x = 42/3

x = 14

Since we know the value of 'x', let's use it to find the length and the width.

Length = 2x = 2 × 14 = 28

Width = 1x = 1 × 14 = 14

Since we now know the length and the width, let's find the area of the rectangle.

The formula to find the area of a rectangle:

Area = Length × Width

Substituting the values we have into the formula,

Area = 28 × 14

Area = 392

Therefore, the area of the rectangle is 392 square yards.

Hope it helps. :)

4 0
3 years ago
Marle placed two orders at the same restaurant last month. In one order, she received 5 trays of lasagna and 3 trays of
user100 [1]

Answer:

$25.25-lasagna, $12.25-garlic bread

Step-by-step explanation:

  5L+3G=163

- 4L+4G=150

______________

 4(5L+3G=163)

-5(4L+4G=150)

_____________

20L+12G=652

-20L-20G=-750

_____________

          -8G=-98

         -8G/-8 = -98/-8

               G=$12.25

now plug that into G in any of the 2 equations at the top and you can solve for L(price of lasagna)

5 0
3 years ago
Assume we need to estimate the mean of a normally-distributed population with great accuracy. Specifically, for significance lev
bulgar [2K]

Answer:

n = 2662.56\sigma^2                                

Step-by-step explanation:

We are given the following in the question:

Significance level = 0.01

Width of interval = 0.1

Population variance = \sigma^2

We have to find the sample size so that the width of the confidence interval is no larger than 0.1

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58

Formula for sample size:

n = \displaystyle\frac{z^2\sigma^2}{E^2}

where E is the margin of error. Since the confidence interval width is 0.1,

E = 0.05

Putting these values in the equation:

n = \displaystyle\frac{(2.58)^2\sigma^2}{(0.05)^2} = 2662.56\sigma^2

So, the above expression helps us to calculate the sample size so that the width of the confidence interval is no larger than 0.1 for different sample variances.

4 0
3 years ago
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