You have to build an equation to find the answer,

angles in a straight line add upto 180°
so your equation would be,

12x+30°=180°
-30 -30
=12x=150°
÷12 ÷12
=x=12.5°

now find the measures of the angles by using 12.5 as x.

angle EAF= 2x
=2×12.5
=25° degrees

angle DAE= 4x
=4×12.5
=50°degrees

angle CAD=6x
=6×12.5
=75°degrees

check,
30+25+50+75=180°degrees

hope this helps.......

7 0

3 years ago

In a group of 21 students, 8 students take Art courses, 7 students take Music courses. Two students take both courses. A student

Blababa [14]

Since two people take both courses, we can subtract two from 7, 8, and 21, giving us 5, 6, and 19.

Add 5 and 6 together to get 11. Since eleven students are in those two groups, we can answer this. The answer will be 11/19.

3 0

3 years ago

Which of the equations below could be the equation of this parabola?

prohojiy [21]

Answer:

the answer would be C.

Step-by-step explanation:

3 0

3 years ago

News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c

OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

$p=X/n=258/311=0.83$

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

$p=X/n=294/363=0.81$

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

$H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0$

4) The pooled estimate of a proportion is the average of both proportions:

$\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82$

5) The standard error can be calculated as:

$s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03$

6) The z-statistic can be calculated as:

$z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67$

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

$2P(Z>|z|)=0.50286$

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0

3 years ago