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aev [14]
2 years ago
8

In the diagram below, DE is parallel to XY. What is the value of y?

Mathematics
2 answers:
zlopas [31]2 years ago
4 0

Answer:

D. 122

Step-by-step explanation:

We have been given that line DE is parallel to XY. We are asked to find the value of y.

We can see that angle y and angle with measure 122 degrees are alternate exterior angles as they are formed outside of parallel line and on the opposite side of transversal.

By alternate exterior angles postulate both angles are equal, therefore, the value of y is 122.

Veronika [31]2 years ago
3 0
The answer is D. 122
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Writing and graphing linear equations
Leni [432]

Answer:

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Step-by-step explanation:

3 0
3 years ago
A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0
2 years ago
3 On a coordinate grid, the location of a lighthouse is at L, and the location of a buoy is at B. At noon, a ship is at the midp
Zarrin [17]

Answer:

(\frac{1}{2}, 2)

Step-by-step explanation:

Using the midpoint formula, M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}), we can find the coordinates that represents the position of the ship at noon.

Let L(-4, 7) = (x_1, y_1) (given on the coordinate plane)

B(5, -3) = (x_2, y_2) (given also)

Plug in the values into the formula and solve as follows:

M(\frac{-4 + 5}{2}, \frac{7 +(-3)}{2})

M(\frac{1}{2}, \frac{7 - 3}{2})

M(\frac{1}{2}, \frac{4}{2})

M(\frac{1}{2}, 2)

Position of the ship at noon is best represented at (\frac{1}{2}, 2)

5 0
3 years ago
it takes 5 men 35 minutes to peel a quantity of potatoes . How long will it take 3 men to peel the same quantity?​
alisha [4.7K]

Answer:

175/3 minutes

Step-by-step explanation:

Assume that each man peel potatoes at the same rate

The time required

= 5 x 35 / 3

= 175/3 minutes

3 0
3 years ago
Can you guys help me?
Simora [160]
8 if not then i’m sorry
8 0
3 years ago
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