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.
Answer:x=−9
Step-by-step explanation:
Apply the distributive property.
3 x + 3 ⋅ 1 − 2 x = − 6
Multiply 3 by 1
.
3 x + 3 − 2 x = − 6
Subtract 2x from 3x.
x + 3 = − 6
Move all terms not containing x to the right side of the equation.
Subtract 3 from both sides of the equation.
x = − 6 − 3
Subtract 3 from − 6 .
x = − 9
Surface area is 62 units ^2
5 x 2 = 10 since there are 2 of these side double it (20)
3 x 2 = 6 since there are 2 of these side double it (12)
3 x 5 = 15 since there are 2 of these side double it (30)
20 + 30 + 12 = 62
Answer:
4
Step-by-step explanation:
4 is a perfect square. We can pull 2 out from under the square root symbol.
The prime factor of 12 is 2.2.3. We can pull another 2 outside of the square root symbol. 2 x2 is 4 that will be outside of the square root symbol and the x, y and 3 will be left under the symbol.
