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ioda
3 years ago
13

Given that the quadrilateral shown is a parallelogram. Use the

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
6 0

9514 1404 393

Answer:

  B)  x = 4

Step-by-step explanation:

Perhaps angles A and D are adjacent, so have a sum of 180°.

  133° + (3x +35)° = 180°

  3x +168 = 180 . . . . . . . . simplify

  x + 56 = 60 . . . . . . . . . . divide by 3

  x = 4 . . . . . . . . . . . . . . . . subtract 56

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A.) which of these expressions is equivalent to 4 x x
Law Incorporation [45]

Answer:

a) The correct option is C: 4x

b) The correct option is B: 2x

Step-by-step explanation:

a) Usually when we have a real number multiplying a variable, we do not need to write the multiplication symbol.

So instead of writing:

4×x

We can write:

4x

And this will be equivalent.

Then in this case the correct option is C.

b) We know that if we have the multiplication of A by n, this will be equivalent to add A n times.

Then if we have the sum of A, for example, 4 times, we have:

A + A + A + A

And this can be written as 4*A

In this case, we have the expression x + x.

So we are adding x two times, then this can be written as: 2*x, or, as we said earlier, this also can be written as 2x.

Then the correct option is option B.

8 0
2 years ago
The perimeter of a rectangular garden is 108 meters. The length is 6 meters longer than twice the width. Find the dimensions of
faltersainse [42]

The answer is that the width is 16 m

7 0
2 years ago
A ball is thrown with an initial velocity of 70 km per second, at an angle  of 35° with the horizontal. Find the vertical and ho
oksian1 [2.3K]

Answer:

i. The horizontal component of the ball = 15.8

ii. The vertical component of the ball = 11.2

Step-by-step explanation:

A thrown ball is an example of a projectile, whose motion can be explained with respect to both horizontal and vertical components.

Horizontal component of the ball = U Cos θ

Vertical component of the ball = U Sin θ

where U is the initial velocity of the ball, and θ is the angle of projection.

Thus for the given question,

U = 70 km/hr (19.44 m/s)

θ = 35°

So that;

i. The horizontal component of the ball = 19.44 Cos 35°

                                               = 19.44 x 0.8192

                                               = 15.785

The horizontal component of the ball = 15.8.

ii. The vertical component of the ball = 19.44 Sin 35°

                                                = 19.44 x 0.5736

                                                = 11.151

The vertical component of the ball = 11.2

5 0
3 years ago
The number of bacteria, b, in a refrigerated food is given by the function b(t) = 15t2 − 60t + 125, where t is the temperature o
s344n2d4d5 [400]
The answer of the above is
7 0
3 years ago
Can yall help me????
Kryger [21]

Hi There!

--------------------------------------------

Remember to follow PEMDAS.

--------------------------------------------

Problem #1:

= (25 - 6.25) + (5 · 3)²

= (18.75) + (15)²

= 18.75 + 225

= 243.75

--------------------------------------------

Problem #2:

= (8 + 3)² + 10 · (-4)

= (11²) + 10 · (-4)

= 121 + 10 · (-4)

= 121 + (-40)

= 81

--------------------------------------------

Hope This Helps :)

3 0
3 years ago
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