ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );

ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );

Answers

Answer 1

Answer:

∠K = 123°

∠L = 97°

∠O = 83°

∠N = 40°

Step-by-step explanation:

∠K and ∡57° are Supplementary, so their sum is equal to 180°

180 - 57 = 123

∠K = 123°

∠N and ∡140° are also Supplementary

180 - 140 = 40

∠N = 40°

The area of a triangle is equal to 180 when all angles are added together

40 + 57 = 97

180 - 97 = 83

∠O = 83°

∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O

∠L = 97°

Now to check ∠K we add ∠O and ∠N

83 + 40 = 123

Now we also check ∠O with ∡140°

140 - 57 = 83

So all of the angles check out correctly


Related Questions

factor -24a - 16b + 40

Answers

Answer:

=8(−3a−2b+5)

Step-by-step explanation:

Rewrite the 40 as 5*8.

Rewrite -16 as 2*8

Rewrite -24 as 3*8

= 3* 8a+2*8b+5*8

8(−3a−2b+5)

a private and a public university are located in the same city. for the private university, 1046 alumni were surveyed and 653 said that they attended at least one class reunion. for the public university, 791 out of 1327 sampled alumni claimed they have attended at least one class reunion. is the difference in the sample proportions statistically significant at the 1% level?

Answers

Using the z-distribution, it is found that since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

At the null hypothesis, we test if the proportions are the same, that is, their subtraction is 0, hence:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if they are different, that is, their subtraction is not 0, hence:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

The proportions and their respective standard errors are given by:

[tex]p_1 = \frac{653}{1046} = 0.6343, s_1 = \sqrt{\frac{0.6343(0.3657)}{1046}} = 0.0149[/tex]

[tex]p_2 = \frac{791}{1327} = 0.5961, s_2 = \sqrt{\frac{0.5961(0.4039)}{1327}} = 0.0135[/tex]

For the distribution of the difference, the mean and the standard error are given by:

[tex]\overline{p} = p_1 - p_2 = 0.6343 - 0.5961 = 0.0382[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0149^2 + 0.0135^2} = 0.0201[/tex]

The test statistic is:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.0382 - 0}{0.0201}[/tex]

[tex]z = 1.9[/tex]

The critical value for a two-tailed test, as we are testing if two values are different, with a significance level of 0.01, is of [tex]|z^{\ast}| = 2.576[/tex]

Since the absolute value of the test statistic is less than the critical value, the difference in the sample proportions is not statistically significant at the 1% level.

A similar problem is given at https://brainly.com/question/25728144


If OQ and RT are parallel lines and mZRSP = 55°, what is mZQPS?

Answers

Answer:

55 degrees

Step-by-step explanation:

Angles RSP and QPS are Alternate Interior Angles. Given that OQ and RT are parallel, alternate interior angles are always congruent, meaning they have the same measure.

So if angle RSP is 55 degrees and it is congruent to angle QPS, then angle QPS is 55 degrees.

Given tan A = (4/9) and that angle A is in quadrant 1, find the exact value of sin A in simplest radical form using a rational denominator

Answers

4sqaure root 97/ 97

halfway between -20 and 10​

Answers

Answer:

[tex]-5[/tex]

Step-by-step explanation:

Add the two numbers and divide by 2, [tex]-20 + 10 = -10[/tex], [tex]-10 /2 = -5[/tex]

Which of the following fractions is less than 1
options: a) 1 1by4 b) 3/4 c) 5/4 d) 2 3by4

Answers

Answer:

B

Step-by-step explanation:

11/4=2.75

3/4=0.75

5/4=1.25

23/4=5.75

Answer:

3/4

Step-by-step explanation:

Proper fractions are less than 1

3/4 is proper fraction.(Numerator less than denominator)

[tex]\dfrac{5}{4}=1\dfrac{1}{4}[/tex]

A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?

Answers

Answer:

The answer I'd 28464835383637533

solve pls brainliest

Answers

hello there! 20 square yards. the first upper half of the “L” shape garden is 8 yards (2 x 8). the lower half is 12 yards(6 x 2). hope that helped ☺️.

Answer:

Area of the garden is 20 sq. yards

Step-by-step explanation:

A = LW

(The whole figure  which is a 6 by 6) - (area of the pool) = The area of garden

                     (6 × 6) - (4 × 4)

                      36 - 16 = 20

Please Answer! ASAP!

Answers

Answer:

B

Step-by-step explanation:

hope this helps

An engineer is designing a new dam for a river. The retaining wall of the dam will be angled such that the height above the ground of the top at the wall is three times the horizontal distance between where it begins and where it ends at ground level. The outer angled wall will be 100 feet long this relationship is shown in the picture along with the rest of the question.

A: x+y=100
y=3x

B: x^2 + y^2 = 100^2
y= 3x

C: x+y=100
x=3y

D: x^2 + y^2 = 100^2
x=3y

Answers

Answer:

B) x² + y² = 100²

   y = 3x

Step-by-step explanation:

The pythagorean theorem : a² + b² = c²

c² in this case is 100, and a and b are x and y

The . vertical distance is three times the horizontal, or y = 3x

The correct option is x² + y² = 100², where y = 3x

-Chetan K

Determine a series of transformations that would map Figure O onto Figure P. ​

Answers

Answer:

OP question dude..

Step-by-step explanation:

Over Powered

write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

y = 3/5x+1

Step-by-step explanation:

y intercept - (0,1), so b=1

Slope = rise/run = 3/5, so m = 3/5

Our Answer is y = 3/5x+1

the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?

Answers

First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.

a^2 + b^2 = c^2

Substitute

a^2 + (5)^2 = (20)^2

Solve for a^2

a^2 = (20)^2 - (5)^2

Solve for a

a = 5 √15

The slope will be rise over run

5/5 √15 = √15/15 or 0.258…

Josh, Ben and Rick have 70 marbles altogether. The ratio of the number marbles Josh has to the number of marbles Rick has is 1: 2. However, Ben has 15 marbles fewer than Rick. How many marbles does Ben have?

Answers

Answer:

Ben has 19 marbles

Step-by-step explanation:

First taking that josh and ricks ratio is 1:2, this would set up in an equation as [tex]2j = r[/tex] and with ben having 15 less than rick, his formula would be [tex]r = b + 15[/tex] as well as the total of all the boys marbles together being this [tex]j+r+b=70[/tex]

Now we put all of these equations into a set to answer them.

[tex]2j = r\\ r = b + 15\\j+r+b=70[/tex]

First we solve for j

[tex]2j = r\\ j=\frac{1}{2} r[/tex]

Then substitute j

[tex]j+r+b=70\\ \frac{1}{2}r+r+b=70\\ 2b+3r=140[/tex]

Then simplify and multiply by 2 to even out

[tex]r = b + 15\\ -b+r=15\\2b+3r=140[/tex]

Now eliminate the b variable and combine equations

[tex]2b+3r=140\\-2b+2r=30[/tex]

[tex]5r=170[/tex]

Now divide and solve for r

[tex]5r=170\\r=34[/tex]

Now we know Rick has 34 marbles of the 70 marbles, so we can substitute his number back into the original equation

[tex]-b+34=15\\b=19[/tex]

Now we know Ben has 19 marbles of the remaining 36, and can substitute his number as well

[tex]j=\frac{1}{2}(34)\\j=17[/tex]

And now we know how much everyone has, to check we rewrite all the equations with their respective numbers

[tex]11+34+19=70\\2(17)=34\\34=19+15[/tex]

[tex]70=70\\34=34\\34=34[/tex]

Which means the ordered pairing of (b, j, r) is (19, 17, 34)

Which graph has exactly one y-intercept

Answers

Been a long time since I’ve done intercepts but I believe it is b sorry if it’s wrong

Answer:

B

Step-by-step explanation:

It touches the y-axis (one y - intercept)

It also touches the x-axis( one x-intercept)

-Chetan K

Use a calculator to find log 0.0019. round answer to 2 decimal places

Answers

Answer:

Step-by-step explanation:

-2.72

The steps used to solve this are (for most calculators ) is

log

0.0019

=

If you do not own a scientific calculator, you can use the one that came from windows.

Unfortunately it is slightly different. Make sure you are in scientific mode. Type in 0.0019. Then click on log. Same answer just much longer.


2. Find the value of x. Give your answer in
simplest radical form.
20
16

Answers

Answer:

12

Step-by-step explanation:

The Pythagorean theorem shows that 400 or 20² - 256 or 16² = 144 or 12² which means that the other side is 12

x=12

Find x from this equation 7x-5=10-3x

Answers

Answer:

x=1.5

Step-by-step explanation:

7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5

ok done. Thank to me :>

In health class, Baldwin is learning about making healthy food choices. For a lesson on
digestive health, his teacher asks everyone to track how much fiber they eat daily. At
breakfast, Baldwin has a banana. He also has raisin bran cereal, which contains 3.7 grams of
fiber. In all, Baldwin eats 6.8 grams of fiber at breakfast.


Use an equation to find the amount of fiber in the banana.

Answers

Answer:

There are 3.1 fibers in rhe banana

Step-by-step explanation:

6.8-3.7=3.1

An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 fruits were sold for a total of $2.10. How many apples were sold?

Answers

Answer:

6 apples

Step-by-step explanation:

A = 0.25

P = 0.15

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

A + P = 10

0.25A+0.15P=2.10

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

I did this: 0.25*10 = 2.50

2.50-2.10=.40

0.25-0.15=0.10

0.40/0.10 = 4 so 4 peaches

10 fruits - 4 peaches = 6 apples

Find the quotient. 4/12÷4/12=​

Answers

Answer:

1

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

pls help with this question asap!

Answers

Answer:

ggggggggggggggggggggg

I need help quick desperate

Answers

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

9. The number of sprouts that Bill, Harvey and Ruth eat is in the ratio 3: 2:5
Bill and Ruth eat 24 sprouts between them.
How many sprouts are eaten altogether?

Please help

Answers

Answer: 9:6:15

Step-by-step explanation:

The ratio is Bill : Harvey : Ruth

We are told that bill and ruth both eat 24 sprouts together. The ratio for bill and Ruth would be 3:5

Add the ratios together to get 8

Then divide the amount (24) by 8

This gives you 3. Then times all he numbers in the ratio by 3 to get the answer ; 9 : 6 : 15

Write the equation of the line in fully simplified slope-intercept form

Answers

Answer:

try y = 3x + -6 it might be wrong tho

Step-by-step explanation:

slope intercept form is y = mx + b where m = the slope and b = the y intercept. the y intercept is -6 and the slope is 3/1 or 3 so just plug the numbers in

Which expression is an equivalent expression for 2(6y – 4)?
A. 8x – 2
B. 12y – 8
C. 8y
D. 12y + 4

Answers

Answer:

B.

Step-by-step explanation:

Because you have to multiply 6y by 2 that is 12y and you have to multiply -4 by 2 that is - 8, you put it together and it's 12y - 8.

B, using distribution you would multiply 2 by 6y and get 12y, then 2 by -4 and get -8

Miko filled two tanks with water. The ratio of the amount of water in Tank A to Tank B is 3 : 2. The total amount of water in both tanks is 210 ℓ. How much water must Miko pour from Tank A into Tank B so that both tanks have the same amount of water?

Answers

Step-by-step explanation:

Answer is in above picture

help for brainliest plz help i am stuck at thing

Answers

Answer:

= cot²A

Step-by-step explanation:

ito na po step by step explanation

[tex](1-sin^{2}A)(1+cot^{2}A) = cos^{2}A .\frac{1}{sin^{2}A } = \frac{cos^{2}A }{sin^{2}A } = (\frac{cosA}{sinA} )^{2} =cot^{2}A[/tex]

ok done. Thank to me :>

please help me solve this problem.

Answers

Answer:

a=36

Step-by-step explanation:

The given angles are corresponding

2a+3a=180

5a=180

a=180/5=36

can someone please help ​

Answers

Answer:

y = - 0.6x + 109

Step-by-step explanation:

The equation in linear form is

y = mx + c ← slope- intercept form

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (25, 94) and (x₂, y₂ ) = (55, 76) ← 2 ordered pairs from the table

m = [tex]\frac{76-94}{55-25}[/tex] = [tex]\frac{-18}{30}[/tex] = - 0.6

y = - 0.6x + c ← is the partial equation

To find c substitute any ordered pair from the table into the partial equation

Using (45, 82 ) , then

82 = - 27 + c ⇒ c = 82 + 27 = 109

y = - 0.6x + 109

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