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malfutka [58]
3 years ago
9

Question 1

Mathematics
2 answers:
vivado [14]3 years ago
7 0

Answer:

For Lin's answer

Step-by-step explanation:

When you have a triangle, you can flip it along a side and join that side with the original triangle, so in this case the triangle has been flipped along the longest side and that longest side is now common in both triangles. Now since these are the same triangle the area remains the same.

Now the two triangles form a quadrilateral, which we can prove is a parallelogram by finding out that the opposite sides of the parallelogram are equal since the two triangles are the same(congruent), and they are also parallel as the alternate interior angles of quadrilateral are the same. So the quadrilaral is a paralllelogram, therefore the area of a parallelogram is bh which id 7 * 4 = 7*2=28 sq units.

Since we already established that the triangles in the parallelogram are the same, therefore their areas are also the same, and that the area of the parallelogram is 28 sq units, we can say that A(Q)+A(Q)=28 sq units, therefore 2A(Q)=28 sq units, therefore A(Q)=14 sq units, where A(Q), is the area of triangle Q.

Nina [5.8K]3 years ago
4 0
Election is not the same thing but they are all right and I will always support y’all for it so please I do
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Write the slope-intercept equation of the line parallel to 5y = 2x + 20 that goes through (-1, 3).
poizon [28]

The first thing I'll do is solve "5y = 2x + 20" for "<span>y=</span>", so that I can find my reference slope:

y = (2/5)x + 4;

So the reference slope from the reference line is <span>m = 2/5;</span>.

Now I need to find two new slopes, and use them with the point they've given me; namely, with the point (-1, 3). They want me to find the line through (4, –1) that is parallel to 5y = 2x + 20; that is, through the given point, they want me to find a line that has the same slope as the reference line. 

Since a parallel line has an identical slope, then the parallel line through (-1, 3) will have slope <span>m = 2/5</span>. Now I have a point and a slope! So I'll use the point-slope form to find the line: y - 3 = (2/5)( x + 1);

Finally, y = (2/5)x + 17/5;


3 0
3 years ago
Madison works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for
Jet001 [13]

Answer:

Price of each phone: \$9

Price of each accessory: \$3.5

Step-by-step explanation:

Let be "p" the  price in dollars of each phone and "a" the price in dollars of each accessory.

Set up a system of equations:

\left \{ {{8p+10a=107} \atop {4p+23a=116.50}} \right.

You can use the Elimination Method to solve the system.

Multiply the second equation by -2 and add both equations:

\left \{ {{8p+10a=107} \atop {-8p-46a=-233}} \right.\\............................\\-36a=-126\\\\a=\frac{-126}{-36}\\\\a=3.5

Substitute the value of "a" into the first equation and solve for "p":

8p+10(3.5)=107\\\\8p=107-35\\\\p=\frac{72}{8}\\\\p=9

4 0
4 years ago
Can anybody help with this pls :)
klasskru [66]

Answer:

54 degrees

Step-by-step explanation:

4x + 6 + 11x - 6 = 180

Then solve

7 0
3 years ago
What is the measure of angle C?
quester [9]

Answer:

C = 10.39

Step-by-step explanation:

We know that the sin of an angle is the opposite side over the hypotenuse

sin C = 22/122

sin C = 11/61

Take the inverse sin of each side

sin ^-1 (sin C) = sin ^-1 ( 11/61)

C = 10.38885782

To the nearest hundredth

C = 10.39

6 0
3 years ago
Solve by substitution <br> -X-4y=8<br> x+4y=-1
Rufina [12.5K]

Answer:

Your answer is: No solution

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Step-by-step explanation:

Hope this helped : )

3 0
3 years ago
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