Answer:
x = 9º
∠B = 40º
Step-by-step explanation:
5x-5º = 3x+13º
<em>[add 5 to both sides]</em>
5x = 3x+18º
<em>[subtract 3x from both sides]</em>
2x = 18º
<em>[divide each side by 2]</em>
x = 9º
/ / / / / / / / / / / / / / / / / / /
3x+13º = 3(9º)+13º=27º+13º = 40º
Answer:
x=11
Step-by-step explanation:
(4x)+(3x+13)=90
if you look at the beam, it includes a 90 degree angle.
7x+13=90
distributive property
7x=77
subtracted both sides by 13
x=11
divided both sides by 7 to isolate x
4(11) 3(11)+13
44 33+13
36
4(x) is the larger angle
Answer:
95%
Step-by-step explanation:
About 95% of the area is within two standard deviation in standard normal distribution. This can be explained by finding the probability within 2 standard deviation using standard normal distribution.
P(z1<Z<z2)=P(-2<Z<2)
P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)
P(-2<Z<2)=0.4772+0.4772
P(-2<Z<2)=0.9544
Thus, About 95% of the area is between z2 and z2
f(x)=-3x^2-1
f(-2)= -3(-2)²-1=-3·4-1= - 13