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3 years ago

The measures of ∠x and ∠y are equal. Which is the value of m?

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

Answer:

M = 32

Step-by-step explanation:

3 x (m+2) = 5m -58

3m + 6 = 5m -58

6 + 58 = 5m - 3m

64 = 2m

M = 64/2 = 32

Nikitich [7]3 years ago

5 0

Answer:

The answer is 32. so basically m=32

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four cards numbered 1, 5, 8, and 9 are placed in a bag. A card is drawn at random and then replaced. Then a card is drawn at ran

Vadim26 [7]

Answer:

1/16

Step-by-step explanation:

Four cards numbered (1, 5, 8,9)

Given the sample space S= 4

1.The first selection with replacement

Probability of picking a 9= 1/4

2. Second selection, probability of picking a 9= 1/4

Hence the probability that both cards drawn have the number 9.

Is = (1/4)*(1/4)= 1/16

6 0

3 years ago

Here is a triangular pyramid and its net.

bazaltina [42]

Answer:

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. $\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\$

${\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}$

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

$\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}$

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

$\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}$

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

$\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}$

Hence,

a) Area of the base of the pyramid = $15.6\ mm^{2}$

b) Area of one lateral face = $24\ mm^{2}$

c) Lateral Surface Area = $72\ mm^{2}$

d) Total Surface Area = $87.6\ mm^{2}$

3 0

3 years ago

How do you solve this problem

MArishka [77]

Answer:

1250 p² x¹² y³z⁶m⁵

Step-by-step explanation:

5x²y³z⁵m²(-2p²m³zx⁴)(-5x²)³

5x²y³z⁵m²(-2p²m³zx⁴)(-125x⁶)

5x²y³z⁵m²(250p²m³zx¹⁰)

1250 p²x¹²y³z⁶m⁵

5 0

3 years ago

A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the

mamaluj [8]

Answer: See explanation

Step-by-step explanation:

1. Cost = $413

Sales percent = 6.5%

Cost of bike = $413 + (6.5% × $413)

= $413 + (0.065 × $413)

= $413 + $26.845

= $439.85

2. Cost of dishwasher = $569

Commission rate = 18%

The expression for the commission will be:

= 18% × $569

= 18/100 × $569

= 0.18($569)

8 0

3 years ago

Rachel tells Jonah that she can turn a square, but he won’t be able to tell that it was turned after she is finished turning it.

Dmitry [639]

ANSWER: it’s a square. All sides will look the same after turning because all sides LOOK THE SAME lol.

5 0

3 years ago