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Digiron [165]
4 years ago
12

What is the length of side BC of the triangle? Enter your answer in the box. units Triangle A B C with horizontal side B C. Vert

ex A lies above side B C. Angle B and angle C are marked congruent. The length of side A C is labeled as x plus 8. The length of side A B is labeled as 2 x minus 1. The length of side B C is labeled as 3 x minus 3.
Mathematics
2 answers:
larisa [96]4 years ago
5 0

Answer:  Length of BC = 24 units.

Explanation:


Given that in triangle ABC, BC is the base, and angle B = angle C

SInce two angles are equal, ABC is isosceles with sides AB = AC

Given that AC = x+8 and AB = 2x-1

Since AB = AC we get these two are equal.  Use this t solve for x.

x+8 = 2x-1

x =9.

It is easy to find BC now.

BC =3x-3

Hence BC =3(9)-3 = 24

Length of BC= 24 units.

Marysya12 [62]4 years ago
5 0

Answer:

24 unites

Step-by-step explanation:

Given that in triangle ABC, BC is the base, and angle B = angle C

SInce two angles are equal, ABC is isosceles with sides AB = AC

Given that AC = x+8 and AB = 2x-1

Since AB = AC we get these two are equal.  Use this t solve for x.

x+8 = 2x-1

x =9.

It is easy to find BC now.

BC =3x-3

Hence BC =3(9)-3 = 24

Length of BC= 24 units.

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What is the slope and y intercept of y=-7x+12
MrRissso [65]
Hi there!

So the format of slope-intercept form is:

y= mx+b

m= your slope
x = just a variable
b= your y- intercept

Using those hints, see if you can figure out the answer! :)

Hope this helped!

---------------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!

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If you're super stuck, your answer would be:

Slope: -7
Y- intercept: 12

3 0
3 years ago
A survey of 1,562 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying techn
tester [92]

Answer:

a) We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

b) z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

c) p_v =2*P(z  

d) Null hypothesis:p=0.35  

e) Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Step-by-step explanation:

Information provided

n=1562 represent the random sample selected

X=522 represent the people who have heard of a new electronic reader

\hat p=\frac{522}{1562}=0.334 estimated proportion of people who have heard of a new electronic reader

p_o=0.35 is the value to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

Part a

We want to test the claim that 35​% of adults have heard of the new electronic reader, then the system of hypothesis are.:  

Null hypothesis:p=0.35  

Alternative hypothesis:p \neq 0.35  

And is a two tailed test

Part b

The statistic for this case is given :

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.334 -0.35}{\sqrt{\frac{0.35(1-0.35)}{1562}}}=-1.326  

Part c

We can calculate the p value using the laternative hypothesis with the following probability:

p_v =2*P(z  

Part d

The null hypothesis for this case would be:

Null hypothesis:p=0.35  

Part e

The best conclusion for this case would be:

Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

5 0
3 years ago
Click on the solution set below until the correct one is displayed​
Effectus [21]
What solution set below
7 0
3 years ago
PLEASE HELP!! DESPERATE!
avanturin [10]

Answer:

Lenght: 34.51 mm

Area: 1035.33 mm^2

Step-by-step explanation:

let x be the unknown sidelength

tan(41) = 30/x

x = 34.51

multiply by 30 to get area

7 0
3 years ago
Five cats each ate 1/4 cup of cat food. How much food did the five cats eat?
qaws [65]

Answer:  Five cats ate 1 and a quarter of cat food.


Step-by-step explanation

Given:-

Cat food ate by one cat = 1/4 cup

Cat food ate by five cats =5\times \frac{1}{4} \text{ [Multiplying both sides with 5 ]}\\\\=\frac{5}{4}=\frac{4+1}{4}=\frac{4}{4}+\frac{1}{4}=1+\frac{1}{4}=1 and 1/4 cup.

Therefore cat food ate by five cats = 1 and a quarter of cup.[ here a quarter =1/4]

7 0
3 years ago
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