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MA_775_DIABLO [31]
3 years ago
12

In Quadrilateral ABCD , AB ∥ CD, and m∠2=35°.

Mathematics
2 answers:
Marianna [84]3 years ago
4 0
Angle 2 and 5 are alternate interior angle and they are congruent. That means that m <5= 35°.
scZoUnD [109]3 years ago
4 0

we know that

<u>Alternate interior angles</u> are two interior angles which lie on different parallel lines and on opposite sides of a transversal. Alternate interior angles are congruent

In this problem

the parallel lines are AB and CD

the transversal line is BD

then

m∠5=m∠2 ------> by alternate interior angles

m∠5=35\°

therefore

<u>the answer is</u>

m∠5=35\°

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we get \frac{x(x^2)}{4(2)+2(x+4)}=\frac{x^3}{2x+16}
3 0
3 years ago
A recreation center charges nonmembers $3 to use the pool and $5 to use the basketball courts. A person pays $42 to use the recr
Andrei [34K]
Let x = times in the pool
Let y = times in the basketball courts

42=3x+5y
x+y=12
Therefore y = 12-x
Subsitute for y
42 = 3x + 5(12-x)
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5 0
3 years ago
What is the solution of the matrix equation?
katrin [286]

Hello from MrBillDoesMath!

Answer:

The first choice ( -12, 20)



Discussion:

Using matrix multiplication we find the equations:


1x  + 1y = 8                     (A)

2x  + 3y = 36                   (B)


Next, compute

  2(A) - B  =>

         (2x + 2y) - (2x + 3y) = 2*8 - 36    =>

          (2x - 2x) + ( 2y-3y) = 16 - 36 =>

          -y = -20  =>

         y = 20


Substituting this y value in (A) gives

         x + 20 = 8 =>

         x = 8 - 20 =>

        x = -12


The answer is the first choice ( -12, 20)


Thank you,

MrB

6 0
3 years ago
1. The graph shows the height of a plant after a certain amount of time measured in days.
kirza4 [7]
Wow this is a lot I am so sorry anyone smart hasn’t answered this yet cause I really do know the answer to this
4 0
3 years ago
Read 2 more answers
Help me with the question in the pic please and thank u!
Zepler [3.9K]

Answer:

1.98

Step-by-step explanation:

In this problem, we are:

Given: ∠D = 26°, Hypotenuse (DF) = 4.5

To solve: EF

Now through the given, we are to focus on point D to solve for EF.

We need to find the relationship of point D to DF and EF.

The relationship here is sine.

Reason: \frac{opposite}{hypotenuse}

Through point D, DF is the hypotenuse and EF is the opposite side.

So let's solve this simply through algebra,

sin = \frac{opposite}{hypotenuse}

sin(26°) = \frac{EF}{4.5}

0.44 = \frac{EF}{4.5}

0.44 × 4.5 = EF

1.98 = EF

7 0
4 years ago
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