How do you do this question? Please help

PLEASE ANSWER ASAP!Given the figure as marked, if HJ congruent to IJ What is the measure of I?

OleMash [197]

Answer:

Here, as shown in picture,

if HJ ~=JI

=> 2y~=80-2y

=> 4y~=80

=> y~=20

=> Option A

Hope this helps!

:)

5 0

3 years ago

Log (4-x)=log (x+8) + log (2x+13)\\[solve for x

dimaraw [331]

Answer:

x=-5

Step-by-step explanation:

it requires a calculator

hope this helps

8 0

3 years ago

Write the equation of the line passing through point (4, -1) and perpendicular to the line whose equation is 2x - y - 7 = 0.

nevsk [136]

Answer:

x + 2y + 4 =0

Explanation:

1) You know a point (4 - 1) and that the line is perpendicular to a given line.

2) From the equation of the perpendicular line whose equation was given, you determine the slope, for which you can use the slope-intercept form of the equation:

2x - y - 7 = 0 => y = 2x + 7.

The slope is the coeffiicient of x, which is 2.

Therefore, slope = 2.

3) The slope of the other line is the negative inverse of the slope of the perpedicular line:

slope = - 1/2

4) Now that you have the slope of your line and the point (4, - 1) you determine the equation with this procedure:

y - b
------- = slope
x - a

where a y b are the coordinates of the point (4, - 1) and the slope is -1/2

=>

y - (-1)
---------- = - 1/2
x - 4

5) Simplify

2(y + 1) = - (x - 4)

2y + 1 = - x + 4

2y + x +1 + 4 = 0

x + 2y + 4 =0 <---------- this is the equation searched.

7 0

4 years ago

The U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions. Suppose a sample of 400 U.S. workers is

lorasvet [3.4K]

Answer:

1 is the answer

Step-by-step explanation:

Given that the U.S. Bureau of Labor Statistics reports that 11.3% of U.S. workers belong to unions.

$H_0: p=0.113\\H_a: p >0.113$

(Right tailed test for testing of a sample proportion with population proportion)

Suppose a sample of 400 U.S. workers is collected in 2014 to determine whether union efforts to organize have increased union membership at 0.025 level of significance.

Test statistic Z = 1.31

p value for this right tailed test would be 0.095

This p value is greater than 0.025

Hence at 2.5% significance level the conclusion is correct

1 is the answer.

6 0

4 years ago

Hey! Can someone check my answers?

Andrew [12]

The greatest common factor is the biggest number taken from the values.

Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is <span>D. 12xy^2
</span>
$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
The greatest common factor is thus $12xy^{2}$

3 0

4 years ago