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3 years ago

Which angle must have the same measure as angle x

Mathematics

1 answer:

Savatey [412]3 years ago

4 0

Answer:

Two angles that have the same measure are called congruent angles. Here are two angles that both measure 30°. We say that angle x is congruent to angle y.

Step-by-step explanation:

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List four ratios that are equivalent to 10:4

NNADVOKAT [17]

5:2 20:8 30:12 60:16

3 0

2 years ago

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If two boxes of cereal and a jug of milk cost $8.50, and three boxes of cereal and two jugs of milk cost $14.00, how much does a

Citrus2011 [14]

Answer:

Step-by-step explanation:

Let c represent the cost of a box of cereal and let m represent the cost of a jug of milk.

Create a system of equations:

2c + m = 8.5

3c + 2m = 14

Solve by elimination by multiplying the top equation by -2:

-4c - 2m = -17

3c + 2m = 14

Add them together and solve for c:

-c = -3

c = 3

So, a box of cereal costs $3

3 0

2 years ago

Figure abcd is a square. Find the measure of < ABE

kotegsom [21]

Answer:

45 degrees

Step-by-step explanation:

Because the shape is a square, all of the sides are equal and all of the angles are 90 degrees. From there you simply divide 90 by 2.

3 0

2 years ago

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What is the area of the trapezoid

Xelga [282]

Short answer: B
Remark
A 45 degree angle means that the height is the same length as part of the base. But which part?

Givens
b1 = 9 feet
b2 = 23 feet
and the 45 degree angle on the right.

Determine the height.
The part of the base that is associated with the 45 degree angle is found by subtracting b1 from b2
b2 - b1 = 23 - 9 = 14
So 14 is also the height

Find the Area
A = 1/2 (b1 + b2)*h
b1 = 9
b2 = 23
h = 14

Area = 1/2(9 + 23) * 14
Area = 1/2 (32) * 14
Area = 16 * 14
Area = 224 <<<< answer

6 0

2 years ago

What is the length of the longest side ?

exis [7]

Answer:

11 feet (Option C)

Step-by-step explanation:

Let the longer side be l and the shorter side be b.

We know that,

→ Perimeter of rectangle = 2 ( longer side + shorter side )

Here,

Perimeter of rectangle is 32 feet.

→ 32 = 2 (l + b)

→ 32 = 2l + 2(5)

→ 32 = 2l + 10

→ 32 - 10 = 2l

→ 22 = 2l

→ $\sf \dfrac{22}{2}$ = l

→ 11 = l

→ 11 feet = longer side

$\therefore$ Length of the longer side is 11 feet.

7 0

2 years ago