Answer:
<1 = 33
<2 = 90
<3 = 57
Step-by-step explanation:
<3 = 57 because of alternate interior angles
<2 + <3 + 33 = 180
<2 + 57 + 33 = 180
<2 + 90 = 180
<2 = 90
<1 + <2 + 57 = 180
<1 + 90 + 57 = 180
<1 + 147 = 180
<1 = 33
Answer:
The answer is m∠RPS=23°.
Step-by-step explanation
Our goal is to solve m∠ RPS and hence we need to solve the unknown x.
We get the equation
180°=6x+11°+7x+143°,
noticing m∠RPS+m∠QPR=180° that is a straight angle.
Then solving the equation gives
180°=13x+154°
13x=26°
x=2°.
Finally replacement gives
m∠ RPS=6*2°+11°=23°.
The answer is m∠RPS=23°.
Hopefully this helps jpg.009
He spends $625. 25 percent equals 1/4. If you divide 2500 divided by 4 is 625.
Answer:
Below.
Step-by-step explanation:
f) (a + b)^3 - 4(a + b)^2
The (a+ b)^2 can be taken out to give:
= (a + b)^2(a + b - 4)
= (a + b)(a + b)(a + b - 4).
g) 3x(x - y) - 6(-x + y)
= 3x( x - y) + 6(x - y)
= (3x + 6)(x - y)
= 3(x + 2)(x - y).
h) (6a - 5b)(c - d) + (3a + 4b)(d - c)
= (6a - 5b)(c - d) + (-3a - 4b)(c - d)
= -(c - d)(6a - 5b)(3a + 4b).
i) -3d(-9a - 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b)
= 3d(9a + 2b) + 2c (9a + 2b).
= (3d + 2c)(9a + 2b).
j) a^2b^3(2a + 1) - 6ab^2(-1 - 2a)
= a^2b^3(2a + 1) + 6ab^2(2a + 1)
= (2a + 1)( a^2b^3 + 6ab^2)
The GCF of a^2b^3 and 6ab^2 is ab^2, so we have:
(2a + 1)ab^2(ab + 6)
= ab^2(ab + 6)(2a + 1).
