Assuming PQRS is a parallelogram, we have PQ = RS, and angles S and R are supplementary so their measures sum to 180°.
So
5<em>x</em> = <em>x</em> + 12
4<em>x</em> = 12
<em>x</em> = 3
→ PQ = 5<em>x</em> = 15
and
12<em>z </em>° + 6<em>z</em> ° = 180°
18<em>z</em> ° = 180°
<em>z</em> = 180/18 = 10
→ m∠<em>S</em> = 12•10° = 120°
Step-by-step explanation:
multiplying expressions.
remember every term of one expression has to be multiplied with every term of the other expression, and the results are added up (while considering their individual signs, of course).
1.
(-3×3 + 2x - 4)(3x - 2)
(-9 + 2x - 4)(3x - 2)
(-13 + 2x)(3x - 2) = -13×3x + -13×-2 + 2x×3x + 2x×-2 =
= -39x + 26 + 6x² - 4x = 6x² - 43x + 26
2.
let's do the other multiplication and compare the result with the result of 1 :
(-13 + 2x)(2x - 3) = -13×2x + -13×-3 + 2x×2x + 2x×-3 =
= -26x + 39 + 4x² - 6x = 4x² - 32x + 39
no, this product is not the same as in 1.
Jaymie will measure the segment and then place the point just across from the line's beginning point to create a congruent segment that shows the similarity between them.
<h3>What are the conditions of the congruent triangle?</h3>
Triangles that are equivalent in terms of size and form are known as a congruent triangle.
Segments will be built using the straightedge, and measurements will be taken using the compass. They will pick a starting point and draw a line using the straightedge, then use the compass to finish the job.
To make the congruent segment, Jaymie will measure the segment and then position the point that is opposite from the line's starting point.
Jaymie, on the other hand, will have to work a bit harder with the compass since she will need to draw a semi-circle in the original angle and transfer this measurement to the new line in order to create congruent angles.
To learn more about the congruent triangle refer;
brainly.com/question/12413243
#SPJ1
Answer:
14
Step-by-step explanation:
7/8 ÷ 1/16 = 7/8 × 16/1
7/8 × 16/1 = 14
Word form: Six over nine or two over three
Simpliest form: 2/3
