All categories

4 years ago

Can someone help me understand this and show work

Mathematics

1 answer:

ELEN [110]4 years ago

7 0

So first off, the most important thing in Geometry is to know the relationship between angles and lines. A vertical line is 180 degrees, a line bisecting something means that whatever is bisected is equal to the other side, vertical angles are equal to each other, etc. Once you understand these it will be a breeze. Make sure you always write down the numbers you find out on the problem in its place so you can keep on track and visualize it better!

8) The 2 angles represented by the equations are being bisected by a vertical line. So that means they are equal to each other and we can solve by putting that into an equation. 5x-46=2x+5, 3x-46=5, 3x=51, x=17. Now just plug in 17 for x. 5(17)-46, 85-46=39. <PQR=39

9) A linear pair is just 2 angles that make a 180 degree angle so, 1, 4, & 5

10) A vertical angle is an angle that is equal and opposite to the other. In this case the only clear one is 1 & 4 (Answer) but angles 2 and 3, when added, would equal angle 5.

11) Supplementary means it equals 180 degrees so the same as #9. 1 & 5, 4 & 5

12) Set 3x+20 and y-20 have different variables, it is easier to use x and 3x+20.Both of these angles form a linear pair, which means they equal 180 so set both of them equal to it. 3x+20+x=180. Combine like terms. 4x+20=180, 4x=160, x=40. Now plug in 40 for x. Since one angle is just x and x=40, subtract that from 180 to find the other angle. We now know y-20=140 so we can simply work out the equation. y-20=140, y=160. Our final answer is x=40 and y=160.

13) (sorry its too blurry I can't risk it but i'm sure you get it now) Just set the angles equal to each other to find the first angle and subtract the angle from 180 to get the other angle.

14) Line AOC equals 180 so that means if <AOB =90 then <BOC equals 90. Line BOE is also a supplementary angle meaning if we add up all the numbers we now know on the line (90,75) they would equal 165. 180-165= 15 meaning <COD=15 degrees. Since <COD is 15 and <DOE is 75 we can add those up and subtract it from 180 (then add 75 again) to find <AOD. 75+15=90 (right angles are 90). 90+75=165, so <AOD=165 degrees.

I hope I didn't get anything wrong I was in a bit of a rush. Just remember the rules and the relationships and you'll do great!

You might be interested in

Multiply (2x2 + 3x − 6)(x − 1)

Grace [21]

For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for:
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual)
Let's get started.
We are given:
$(2x^2 + 3x - 6)(x - 1)$
Start by distributing the 2 first, then the 3, and then lastly the -6
(2x^2)(x)+(2x^2)(−1)+(3x)(x)+(3x)(−1)+(−6)(x)+(−6)(−1)
From here multiply the terms you have gathered from FOILING:
 $2x^3-2x^2+3x^2-3x-6x+6$

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example:
3c and 4c are like terms because they have the same variables
24 and 50 are like terms because they are simply numbers without any variables.
It is best to put the like terms together in parentheses so that it is easier to combine them.
$(2x^3)+(-2x^2+3x^2)+(-3x-6x)+(6)
$
Combine:
$2x^3+x^2-9x+6
$

Final answer: $2x^3+x^2-9x+6$
If you have an further questions, please do not hesitate to comment below! Have a nice day! :)

8 0

4 years ago

Read 2 more answers

Jasmine sells bracelets at a local jewelry store in South Dekalb Mall. She has 1,190 purple beads and 2,125 pink beads. Each bra

jeka57 [31]

Answer:

Step-by-step explanation:

1190 + 2125 = 3315 (number of beads)

3315/85 = 36 (number of bracelets jasmine can make)

8 0

3 years ago

Two alloys A and B are being used to manufacture a certain steel product. An experiment needs to be designed to compare the two

sveta [45]

Answer:

Step-by-step explanation:

From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:

Alloy A Alloy B

Sample mean $\bar {x} _A = 49.5$ $\bar {x} _B = 45.5$

Equal standard deviation $\sigma_A = 5$ $\sigma_B= 5$

Sample size $n_A = 30$ $n_{B}= 30$

Mean of the sampling distribution is :

$\mu_{\bar{X_1}-\bar{X_2}}= 49.5-45.5 \\ \\ = 4.0$

Standard deviation of sampling distribution:

$\sigma_{\bar{x_1}-\bar{x_2} }= \sqrt{\sigma^2_{\bar{x_1}-\bar{x_2} }} \\ \\ = \sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma^2_2}{n_2} } \\ \\ =\sqrt{\dfrac{25}{30}+\dfrac{25}{30}} \\\\=\sqrt{1.667} \\ \\ =1.2909$

Hypothesis testing.

Null hypothesis: $H_o: \mu_A -\mu_B = 0$

Alternative hypothesis: $H_A:\mu_A -\mu_B > 4$

The required probability is:

$P(\overline X_A - \overline X_B>4|\mu_A - \mu_B) = P\Big (\dfrac{(\overline X_A - \overline X_B)-\mu_{X_A-X_B}}{\sigma_{\overline x_A -\overline x_B}} > \dfrac{4 - \mu_{X_A-\overline X_B}}{\sigma _{\overline x_A - \overline X_B}} \Big) \\ \\ = P \Big( z > \dfrac{4-0}{1.2909}\Big) \\ \\ = P(z \ge 3.10)\\ \\ = 1 - P(z < 3.10) \\ \\ \text{Using EXCEL Function:} \\ \\ = 1 - [NORMDIST(3.10)] \\ \\ = 1- 0.999032 \\ \\ 0.000968 \\ \\ \simeq 0.0010$

This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.

Since the P-value is very small which is lower than any level of significance.

Then, we reject $H_o$ and conclude that there is enough evidence to fully support alloy A.

3 0

3 years ago

Boston can be very cold at -3 degrees Fahrenheit. If the temperature continues to drop at a constant rate for four days, what is

hoa [83]

Answer:

It depends what the constant rate it bt if it is -3 the it would be -3x4=12 and then -3-12=-15

Step-by-step explanation:

-15

5 0

3 years ago

Estimate this product. 89.65 x 4.75 A 4,500 B 450 C 45 D 4.5 plz hurry

Alona [7]

The correct answer is B.

Explanation:
89.65 is nearly 90.
4.75 is nearly 5.

To estimate the product, we will multiply 90*5, which equals 450.

7 0

3 years ago

Read 2 more answers