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cupoosta [38]
3 years ago
6

What is the value of x in the parallelogram CDEF if top left corner is 104 degrees and bottom right corner is (2x+16) degrees?​

Mathematics
1 answer:
Travka [436]3 years ago
6 0

Answer:

  x = 44

Step-by-step explanation:

Opposite angles in a parallelogram are congruent, so ...

  104 = 2x +16

  88 = 2x . . . . . . subtract 16

  44 = x . . . . . . . divide by 2

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What is the value of a in the equation? 22= a/11
OLga [1]

Answer:

Step-by-step explanation:

If you divide 33 by 11 it’ll be 3 so we can cross B off, and A too because it’s not a double digit

So that leaves us with C & D.

If we divided 222 and 11 it would leave us with 10 which doesn’t match 11, so that leaves us with D

(Sorry if I didn’t’t explain right )

6 0
3 years ago
Read 2 more answers
Jeremy lost his dog, and wants to make some signs to put up in the neighborhood. The cost to make 8 paper signs and 2 laminated
Mashcka [7]

Answer:

cost to make paper signs = $1

cost to make laminated signs = $2

Step-by-step explanation:

Let

x = cost to make paper signs

y = cost to make laminated signs

8x + 2y = 12 (1)

10x + 10y = 30 (2)

Multiply (1) by 5

40x + 10y = 60 (3)

10x + 10y = 30 (2)

Subtract (2) from (3) to solve for x

40x - 10x = 60 - 30

30x = 30

x = 30/30

x = $1

Substitute x = 1 into (1)

8x + 2y = 12

8(1) + 2y = 12

8 + 2y = 12

2y = 12 - 8

2y = 4

y = 4/2

y = $2

cost to make paper signs = $1

cost to make laminated signs = $2

5 0
3 years ago
Jerry is painting a fence made of 4 wooden planks. He has 4 different colours to choose from. He randomly chooses a colour for e
kap26 [50]
1/4 because each color on it’s owned factor
4 0
3 years ago
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyra
mina [271]

Answer:

Akira needs 45 square inches of  gold foil to cover the chair free including the bottom​

<u>Step-by-step explanation:</u>

Total surface  =  surface area of the base square + area of 4 triangles

<u>Step 1: The surface area of the base square</u>

surface area of the base = surface area of the square =  s^2

where s is the side length

The the surface area of the base  = 3^2 = 9 square inches

<u>Step 2: The surface area of the side triangles </u>

The area of the triangle = \frac{1}{2}\times \text{side length} \times \text{slant height}

On substituting the values,

The area of the triangle =\frac{1}{2} \times 3 \times 6

The area of the triangle = \frac{18}{2}

The area of the triangle = 9 square inches

Now the area of 4 triangles  =  4 x 9  = 36 square inches

Thus the total surface area  =  9 + 36 = 45 square inches

7 0
3 years ago
Read 2 more answers
Find the angle between u = (8.- 3) and v = (-3,- 8) Round to the nearest tenth of a degree.
Nimfa-mama [501]

Answer:

<h2>90°</h2>

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544

The module of v is:

|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544

Now we calculate the scalar product between both vectors

u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0

Finally we know that the scalar product of two vectors is equal to:

u*v = |u||v|*cos(\theta)

Where \theta is the angle between the vectors u and v. Now we solve the equation for \theta

0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

5 0
3 years ago
Read 2 more answers
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