Find the solution of the system of equations.
10x-2y=44
-2x-9y=10

Answer:

y = 52

x = 5

Step-by-step explanation:

Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )

This meaning that their opposite angles are also congruent

Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C

Hence ∠A ≅ ∠C

And because ∠A = 52°, ∠C also equals 52°

Hence y = 52°

Now we want to find x

We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180

so...

180 = 14x + 6 + 52 + 52

now we solve for x

step 1 combine like terms

52 + 52 + 6 = 110

now we have 180 = 110 + 14x

step 2 subtract 110 from each side

180 - 110 = 70

110 - 110 cancels out

now we have 70 = 14x

step 3 divide each side by 14

14x/14 = x

70 / 14 = 5

we're left with x = 5

Answer:

AB ≈ 312.1 m

Step-by-step explanation:

Using the Sine rule in the triangle, then

[tex]\frac{AB}{sin85}[/tex] = [tex]\frac{240}{sin50}[/tex] ( cross- multiply )

AB × sin50° = 240 × sin85° ( divide both sides by sin50° )

AB = [tex]\frac{240sin85}{sin50}[/tex] ≈ 312.1 m ( to 1 dec. place )

Answer:

Step-by-step explanation:

( − 1 )  ( + 1 )

Answer:

sum of interior angle of a polygon/180=n-2

Answer:

should be the 2nd.............

Answer:

the answer is no solutions

Step-by-step explanation:

Answer:

a H I o p=0.80 vs. Ha less than 0.80, where P equals the true proportion of All American adults who do not have an emergency fund

The appropriate hypotheses for this test are:

H0: p ≥ 0.80

Ha: p < 0.80

We have,

The appropriate hypotheses for this test are:

Null Hypothesis (H0):

The true proportion of Americans who do not have an emergency fund is equal to or greater than 80%.

Alternative Hypothesis (Ha):

The true proportion of Americans who do not have an emergency fund is less than 80%.

Symbolically, the hypotheses can be represented as:

H0: p ≥ 0.80

Ha: p < 0.80

Where p is the true proportion of American adults who do not have an emergency fund.

To determine whether the data provide convincing evidence against the null hypothesis,

We can conduct a hypothesis test using a significance level (alpha) of 0.05.

If the p-value is less than alpha, we can reject the null hypothesis and conclude that the true proportion of Americans who do not have an emergency fund is less than 80%.

Thus,

H0: p ≥ 0.80

Ha: p < 0.80 are the appropriate hypotheses for this test.

Learn more about hypotheses here:

https://brainly.com/question/28331914

#SPJ2

Alright, so first we should add up all of the teachers to get the gist of how many there are in each school.

I got 50 in both North MS and West MS.

F. Half of the teachers would be 25. music+cooking=25 teachers. Correct.

But now, we need to find percentages.

Convert the problem to an equation using the percentage formula: P% * X = Y.

30%x50= 15. Does 9+6 equal 15? Yes, F is Correct.

G. A quarter of 50 is 12.5. (There can't be decimals of teachers though.) At West MS 11 teachers enjoy reading and 14 enjoy outdoor recreation. 11 is less than 12.5 and 14 is more. Incorrect.

H. A majority means more than half in simple terms. Do more than half of the teachers at North MS enjoy rec and cooking? (6+19) It's tricky as there's 25 teachers. However, it is not greater than 25 so it is not a majority. Incorrect.

J. Less than half of 50 teachers at West MS enjoy rec and music. (14+15=29)

Incorrect.

Hope this helped! Khan Academy is a fantastic resource.

Answer:

F.) Half of the teachers at West MS enjoy cooking and music, while only 30% of the teachers at North MS enjoy cooking and music.

Step-by-step explanation:

NORTH MS                     →      TOTAL: 50 TEACHERS            

R:16  C:6  OR:19  M:9      →      R:32%  C:12%  OR:38%  M:18%

WEST MS                         →      TOTAL: 50 TEACHERS            

R:11  C:10  OR:14  M:15     →      R:22%  C:20%  OR:28%  M:30%

F.)

Half of the teachers at West MS enjoy cooking and music ✓

30% of North MS enjoy cooking and music ✓

This statement is TRUE.

G.)

Over a quarter of West MS teachers enjoy reading

Less than a quarter of West MS teachers enjoy outdoor recreation

This statement is FALSE.

H.)

The majority of teachers at North MS enjoy outdoor recreation and cooking

This statement is FALSE.

J.)

Less than half of West MS teachers enjoy outdoor recreation and music

This statement is FALSE.

Answer:

37+23

Step-by-step explanation:

I searched it up. someone else asked the exact same question. I hope it's correct though.

Answer:

The larger number is 37 and the smaller number is 14.

Step-by-step explanation:

Let's solve this problem in terms of x and y:

x+y=60

x-y=14

x will be the larger number while y will be the smaller number.

When we add both those equations together, we get 2x=74 since y-y=0. Now we do 74÷2 which equals 37 so x=37. Finally we know that x=37 so our y  must be the remaining part since x+y=60. We simply subtract 37 from 60 and get our smaller number, 23.

I hope this helps :)

Answer: 22 the answer is 22 but id.k if thats what ur looking for

Step-by-step explanation:

Answer:

x=-2, -6 > pick the first answer choice !!!!!

Step-by-step explanation:

Let's solve your equation step-by-step.

|x+4|=2

Solve Absolute Value.

|x+4|=2

We know either x+4=2or x+4=−2

x+4=2 (Possibility 1)

x+4−4=2−4 (Subtract 4 from both sides)

x=−2

x+4=−2 (Possibility 2)

x+4−4=−2−4 (Subtract 4 from both sides)

x=−6

Answer:

x=−2 or x=−6

Answered by the ONE & ONLY #QUEEN herself aka #DRIPPQUEENMO!!!

HOPE THIS HELPED!!! BAHAHAHAHAHA

See attachment for reply and answer.

Answer:

. check in cu.mu.com for the answer

Answer:

40%

Step-by-step explanation:

Answer:

Jamie got 40% of his test correct.

Step-by-step explanation:

4 out of 10 = [tex]\frac{4}{10}[/tex]

                  = [tex]\frac{40}{100}[/tex]

                  = 40%

hope this helps :)

Formula:

Shape =  Cone

Radius (R) =  1

Height (H) = 4

Formula of surface area (cone) = A=πr(r+h2+r2)

How to find a surface area of a cone?

Using the formula of the cone (A=πrl+πr2) We add the formula so the radius and the height (l=r2+h2). Since we are solving for a our formula will end up looking like (A=πr(r+h2+r2)=π·1·(1+42+12)≈16.09471). Which will equal our answer which is 16.09471. Round to the nearest tenth will be 16.09.

Answer: 16.09

Hope this helps.

Answer:

16.09

Step-by-step explanation:

16.09

Answer:

56.........................

Answer:

∠ P = 51°, ∠ Q = 89°

Step-by-step explanation:

The opposite angles in a cyclic quadrilateral aresupplementary , then

∠ P = 180° - 129° = 51°

∠ Q = 180° - 91° = 89°

Answer:

A & C

Step-by-step explanation:

Answer: 591 hours

Step-by-step explanation:

First find out what 2/3 of the water is:

= 2/3 * 24,000

= 16,000 gallons

650 gallons are used per day so the time it takes in days to use the above is:

= 16,000 / 650

= 24.62 days

There are 24 hours in a day. The amount of time it will take to use this amount of water in hours is:

= 24.62 * 24

= 590.88

= 591 hours

Answer:

See below & graph.

Step-by-step explanation:

Domain: All real numbers.

Range: y <= 7

Axis of symmetry: x = -b/2a = 1

Vertex: (1, 7), label it on the graph.

Answer:

set X/Y = {0,23}

Step-by-step explanation:

We are given the sets;

X = {0, 12, 23}

Y = {3, 12, 15}

Now, we want to find the set X/Y.

The set X/Y means the set that has numbers which are only in set X but not in set Y.

The numbers from inspection of both sets are 0 and 23.

Thus;

set X/Y = {0,23}

Answer:

V=π(d

2)2h=π·(4

2)2·3≈37.69911cm³

Step-by-step explanation:

Answer:

Step-by-step explanation:

The length of the hypotenuse of a right triangle can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

a²+b²=c²

30²+72²=c²

900+5184=c²

[tex]\sqrt{6084} =c^{2}[/tex]

c=[tex]\sqrt{6084} =78[/tex]

Hope this helped!!

Answer:

78

Step-by-step explanation:

Answer:

Solution given:

y=-1/2 x²

for

f(x)=-1/2 x².

differentiating each term with respect to x

f'(x)=-x

when

x=-4

f'(-4)=4>0 increasing

when

x=-2

f'(-2)=2 >0 increasing

when x=0

f'(0)=0 stationary point.

other points are decreasing

so

largest interval of increasing is

A.X<-2

all of them because it is not a straight line

Answer:

39

Step-by-step explanation:

To solve this problem we can use a proportion:

150 : 100 = x : 26

x = (26*150)/100 = 39

Answer:

39

Step-by-step explanation:

150% of 26 is 39

on a calculator do 26 times 150% and it equally 39

another way to do it is do 26 divided by 2 which equals 13, then add 13 to 26 and you get 39

Step-by-step explanation:

incorrect question I think as x got eliminated while the question is solved

Answer: $4,428.27

Step-by-step explanation:

First you have to find out how many shows are in three months. If there is 3.5 shows in one month, multiply this by three to get the amount in 3 months.

3.5 x 3 = 10.5 shows

Now multiply the amount the band makes in one show by the number of shows.

$421.74 x 10.5 shows = $4,428.27 over the course of three months.

Hope this helps!

Answer:

S

Step-by-step explanation:

Answer: d

Step-by-step explanation: