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sweet [91]
3 years ago
10

Can somone help me with this 1 problem? QRST is a parallelogram. Determine the measure of ∠Q

Mathematics
1 answer:
valina [46]3 years ago
3 0
(In the picture, QRST looks like a rhombus, so I will assume that it is a rhombus.)

In a rhombus, opposite angles are congruent based on the alternate interior angle theorem. In other words, R and T along with Q and S are both alternate interior angle pairs.
(You can actually test this by printing out a rhombus, cutting out the angles, and matching up the opposite ones.) 

We know that Q is equal to 4x + 10, but we need to solve for x. Since Q and S are congruent, we can set them equal to each other:
1) 4x + 10 = 5x - 3
2) 4x + 13 = 5x
3) 5x = 4x + 13
4) x = 13
Now let's plug 13 in for Q:
5) 4(13) + 10 = 52+10 = 62

I got m<Q = 62 degrees. Hope this helps!
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How do you write 68,800 in scientific notation?​
Delvig [45]

Answer:

  • 6.88×10⁴

Step-by-step explanation:

<em>A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10</em>

  • 68800 = 6.88×10⁴
4 0
2 years ago
Physics or Chemistry. In a group of 50 students, 7 take all three
astraxan [27]

Answer:

Step-by-step explanation:

There are 50 students in a group.

Using Venn diagram, we have 50=x+8+7+5+x+9+(x+3)50=x+8+7+5+x+9+(x+3) .

50=3x+3250=3x+32

3x=183x=18

x=6x=6

The number of students that take Maths is x+8+7+5=26x+8+7+5=26 .

Answer: x=6x=6 ; 2626 students take Maths.

8 0
2 years ago
PLEASE HELP! I'M BEING TIMED :(( PLZ HELP!! Which point is an x-intercept of the quadratic function f(x) = (x – 8)(x + 9)? (0,8)
Anon25 [30]
(-9,0) Is one of the x-intercepts
8 0
3 years ago
Solve<br> 13^x+2=5<br> having a bit of trouble
-Dominant- [34]
<em>Solve: </em>13^{x} + 2 = 5

Start by isolating the x-variable as much as you can:
13^{x} = 5 - 2 = 3
13^{x} = 3

Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.

Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.

In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.

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3 0
3 years ago
Find the value of x so that FED ~ZYZ <br> need help asap
Paul [167]

Answer:

x=7.5

Step-by-step explanation:

To show that the triangles are similar, we simply need to show that all sides are proportionate.

So,  we create a proportion

\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}

Then we plug in the values

\frac{6}{12} = \frac{7}{14}  = \frac{2x-5}{22}

\frac{6}{12} and \frac{7}{14} can be simplified to \frac{1}{2}, so that is our ratio of similarity

then we know

\frac{1}{2} = \frac{2x-5}{22}

Now solve

1. Cross multiply

2×(2x-5) = 22

2. Distribute

4x-8 = 22

4x=30

x=7.5

There is your answer, x=7.5

Hope this helped.

8 0
2 years ago
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