Lets take a look at the options first.
option 1 and option 4 are not possible as (8x) (8x) would give us 64x^2, which is not what we want.
we’re left with option 2 & 3. when expanded, option 2 will look like :
16x^2 - 40x - 10x + 25
= 16x^2 - 50x + 25
however, we do not want the 50x. so the answer is option 3, (4x-5) (4x+5)
if you don’t want to find the answer using expanding, there is also another method of expanding.
(a+b)^2 = a^2 - b^2
in this case, 16x^2 will be a^2 and 25 will be b^2. not sure whether you’ve learn this but yea.
Answer:
Step-by-step explanation:
It is necessary to find the factors and solve them using their expressions in order to solve this problem.
<h3>20x+12y-28</h3>
7*4=28
3*4=12
5*4=20
Rewrite the problem down.
5*4x+3*4y+7*4
Solve.
Common term of 4.
<u>4(5x+3y-7)</u>
- <u>Therefore, the final answer is 4(5x+3y-7).</u>
<u></u>
I hope this helps you! Let me know if my answer is wrong or not.
Answer:
1.
2.
Step-by-step explanation:
Q1. Given circle k(O).
The measure of the arc FE is 56°, this means the measure of the central angle FOE is 56° too.
Consider triangle FOE. This triangle is isosceles triangle with the base FE because FO = EO as radii of the circle.
Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle FEO is always 180°, then
Angle FDE is inscribed angle subtended on the arc FE, hence its measure is the half of the central angle FOE:
Since FD = ED, thriangle FDE is isosceles triangle with congruent angles adjacent to the base FE. Then
Q2. If the measure of the arc RU is 50°, then the measure of the central angle ROU is 50° too.
If the measure of the arc UT is 30°, then the measure of the central angle TOU is 30° too.
Triangle ROU is isosceles triangle because RO = UO as radii of the circle. Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle ROU is always 180°, then
Angle UST is inscribed angle subtended on the arc UT and has the measure that is half the measure of the central angle TOU:
Answer:
C
Step-by-step explanation: