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kirza4 [7]
3 years ago
9

The figure shows line , , and intersecting to form angles numbered , , , , , and . All three lines lie in the same plane. Based

on the figure, which of the individual statements would provide enough information to conclude that line is perpendicular to line ?
.

∠2 = 90°
∠6 = 90°
∠3 = ∠6
∠1 + ∠4 = 90°
∠4 + ∠5 = 90°

Mathematics
1 answer:
Lina20 [59]3 years ago
3 0

Answer:

Options A and  D are your answers.

m∠6=90°

m∠4+m∠5=90°

-----------

hope it helps...

have a great day!!

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A balance sheet shows beginning values of $56,300 for current liabilities and$289,200 for long-term debt. The ending values are
Black_prince [1.1K]

Answer:

The amount of net new borrowing is $29,200

Step-by-step explanation:

Net new borrowing =

Long term debt at the end - Long term debt at the start

= $318,400-289,200 = $29,200

7 0
3 years ago
What is the solution to this equation? 5(x - 6) + 4 = 7x - 4
dimaraw [331]

5(x - 6) + 4 = 7x - 4

5x - 30 + 4 = 7x - 4

5x - 26 = 7x - 4

5x - 26 + 4 = 7x

5x - 22 = 7x

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x = -11 is the solution to the given equation

7 0
3 years ago
Let x=number of cds and y=number of dvds
Elis [28]
X + y = 40.....multiply by -4
4x + 6y = 180
-------------------
-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===

x = 30

6 0
4 years ago
- Why is R2 important? in multiple regression ​
andriy [413]

Answer:

R-squared is a statistical measure of how close the data are to the fitted regression line.

Step-by-step explanation:

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4 0
4 years ago
Let us suppose we have data on the absorbency of paper towels that were produced by two different manufacturing processes. From
maksim [4K]

Answer:

The 95% CI for the difference of means is:

-155.45 \leq \mu_1-\mu_2 \leq -44.55

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Find a 95% confidence interval on the difference of the towels mean absorbency produced by the two processes. Assumed that the standard deviations are estimated from the data. Round to two decimals places."</em>

Process 1:

- Sample size: 10

- Mean: 200

- S.D.: 15

Process 2:

- Sample size:  4

- Mean: 300

- S.D.: 50

The difference of the sample means is:

M_d=M_1-M_2=200-300=-100

The standard deviation can be estimated as:

\sigma_d=\sqrt{\frac{\sigma_1^2}{n_1}+\frac{\sigma_2^2}{n_2}}\\\\\sigma_d=\sqrt{\frac{15^2}{10}+\frac{50^2}{4}} =\sqrt{22.5+625}=\sqrt{647.5}=25.45

The degrees of freedom are:

df=n_1+n_2-2=10+4-2=12

The t-value for a 95% confidence interval and 12 degrees of freedom is t=±2.179.

Then, the confidence interval can be written as:

M_d-t\cdot \sigma_d\leq \mu_1-\mu_2 \leq M_d+t\cdot \sigma_d\\\\-100-2.179*25.45\leq \mu_1-\mu_2 \leq -100+2.179*25.45\\\\-100-55.45 \leq \mu_1-\mu_2 \leq -100+55.45\\\\ -155.45 \leq \mu_1-\mu_2 \leq -44.55

8 0
3 years ago
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