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loris [4]
3 years ago
9

Given quadrilateral ABCD≅quadrilateral EFGH, what is the value of x?

Mathematics
2 answers:
Readme [11.4K]3 years ago
6 0

9514 1404 393

Answer:

  C.  x = 100°

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°. The figures are given as congruent (even though they don't look like it), so corresponding angles have the same measure.

  80° +75° +x +105° = 360°

  x = 100° . . . . . . subtract 260°

Tom [10]3 years ago
5 0

Answer:

C) x = 100

Step-by-step explanation:

75 + 105 + 80 + x =360

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A freight company has shipping orders for two products. The first product has a unit volume of 10 cu ft and weighs 50 lb. The se
nydimaria [60]

Answer:

Number of units of first product = 112

Number of units of second product = 400

Step-by-step explanation:

Given that there are two products which are to be shipped.

<em>First product details:</em>

Unit volume = 10 cu ft

Weight of one unit = 50 lb

<em>Second product details:</em>

Unit volume = 3 cu ft

Weight of one unit = 40 lb

Total volume that can be carried by a truck = 2320 cu ft

Total weight that can be carried by a truck = 21600 cu ft

To find:

The number of units of each product that can be transported in one shipment in the truck?

Solution:

Let number of units of first product = x

Let number of units of second product = y

We can write down two linear equations in two variables here and solving them will give us the answer we are required to find.

As per question statement, the equations can be written as:

10x+3y = 2320 ...... (1)\\50x+40y = 21600\\\Rightarrow  5x+4y = 2160...... (2)

Multiplying equation (2) with 2 and subtracting equation (1) from it:

8y - 3y = 4320-2320\\\Rightarrow 5y = 2000\\\Rightarrow \bold{ y = 400}

By equation (1):

10x+1200 = 2320\\\Rightarrow 10x = 1120\\\Rightarrow \bold{x = 112}

Answer is:

Number of units of first product = 112

Number of units of second product = 400

6 0
3 years ago
Help me on this please
Rina8888 [55]

Answer:

x = 3.5

Step-by-step explanation:

Triangle to the right:

4^2 + x^2 = 8^2

16 + x^2 = 64

y^2 = 48

Triangle to the left:

x^2 + 6^2 = 48

x^2 + 36 = 48

x^2 = 12

x = sqrt(12)

x = 3.5

4 0
3 years ago
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qaws [65]

Answer:

The 2 Option Is Correct

f(x) = 2(x+3)(x-7)

Step-by-Step Explanation:

Factor.

6 0
2 years ago
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What is k-15=-8?<br><br><br> I need help with this one<br> Btw it is asking what k equals.
LuckyWell [14K]

Answer:

k=7

Step-by-step explanation:

Add 15 to both sides, -8+15=7

So, K=7

4 0
3 years ago
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Answer:

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