What is the solution of the system of equations?

Hello this will be easy for you.

Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .

But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.

Now we are getting near to solve that x+8 degrees angle.

Recall that UVT is 26° ok ? So 180-26 = x+8

Thus

x+8 = 154

x = 154 - 8

x = 146

Finally the angle UVS = 154 and the value of x = 146

You can see all the angles in the image attached below

Good luck you will be the best

Answer:

12x+5y

Step-by-step explanation:

add 5 + 7 because they both have x and add 4 and 1 because y couts as one so in the end you'll get 12x+5y

Answer:

Step-by-step explanation:

5x + 4y + 7x + y

Need to arrange all who have the same variable

=5x + 7x +4y + y

=12x+5y

Answer:

x2 the left side and x3 the right side of the equation

Answer:

X = -2

First you cross multiply, and then you expand to get 15x+6

after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.

Im pretty sure the only prime number in between 90 and 100 is 97

Answer:

-3 and 11

Step-by-step explanation:

Answer:

B. y=6-1/3t

Step-by-step explanation:

If you graph this equation, it matches the given graph. Hope this helps :)

Answer:

C(-1, -4)

Step-by-step explanation:

see the point reflected over the line through the vertex point

Answer:

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Answer:

you sold fewer than 100 tickets. you only sold 50 tickets out of your 100 ticket goal.

Answer:

1. -64

2.-27

Step-by-step explanation:

Hopes this helps

:)

9514 1404 393

Answer:

  8.  50 yards

  9.  9%

Step-by-step explanation:

In each case, we fill in the given values in the formula, then divide both sides of the equation by the coefficient of the variable.

The missing formula is ...

  A = LW . . . . where A is area, L is length, W is width

  6000 yd² = (120 yd)W

  W = (6000 yd²)/(120 yd) = 50 yd . . . the width of the field

__

The missing formula is ...

  I = Prt . . . . where I is the interest on principal P at rate r for t years

  1800 = 5000(r)(4)

  r = 1800/20000 = 0.09 = 9% . . . interest rate on the investment

[tex]1 - {25x}^{2} \\ = (1)^{2} - (5x {)}^{2} \\ = (1 - 5x)(1 + 5x)[/tex]

(1 - 5x)(1 + 5x)

Hope it helps.

Do comment if you have any query.

Answer:

Step-by-step explanation:

x + 14 = 20

4 = x²

x/4 = 50

x - 7 = 1

Answer:

f(X)= 4 and g(X)= 49 are the answers!

Answer:

f(6) = -8

g(-3) = 49

Step-by-step explanation:

So when observing a function we have to remember that the desired input value is correspondent to the function. So when looking at the first function of:

f(x) = -2x+4

we can see that we are trying to find f(6) meaning all of the values of x are 6 in the equation. When plugging in the value of x into the equation then we have:

f(6) = -2(6)+4

the next step would be to simplify. -2*6 = -12 and -12+4=-8 and thus:

f(6) = -8

Now the steps are the same with g(-3) except with the other function:

g(x) = -2x^3-5

g(-3) = -2(-3)^3-5

g(-3) = 49

Answer:

$450+$50= X

X=$500

Step-by-step explanation:

The sale price is $450.00, so you take that amount and $50.00 which the amount he paid less and add them both. We do this because we want to see the original price of the computer. If it mentioned the original price already and the amount $50.00 and asked the sail price instead, we would have to subtract to get the answer.

Here we have to add.

450+50=500

(add the dollar sign)

$450+$50=X

X=$500

Answer:

41% of adults are women.

60% of adults prefer TV.

Step-by-step explanation:

Women 30 Newspaper 52 TV 82 In Total so the percentage would be 82 out of 200 which would be 41 therefore 41% of adults are women.

TV scores 52 + 68 = 120 therefore 120 out 200 is the percentage of the adults that prefer TV 60 therefore 60% of the adults prefer TV.

The percentage of the adults prefer TV is 60%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, a group of 200 adults were asked whether they prefer getting their news from newspapers or from TV.

Here,

                  Newspapers         TV

Women              30                 52

Men                   50                  68

Number of women =30+52

= 82

a) Percentage of the adults are women

= 82/200 ×100

= 41%

b) Percentage of the adults prefer TV

Number of adults watch TV = 52+68

= 120

Here, 120/200 ×100

= 60%

Therefore, the percentage of the adults prefer TV is 60%.

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Answer:

10 1/8 or 81/8

Step-by-step explanation:

Answer: second one is the correct answer

Step-by-step explanation:

The distance between (12,5) and (3,4) approximated to the 1 decimal place is 9.1.

To find the distance between two points [tex]\((x_1, y_1)\)[/tex] and [tex]\((x_2, y_2)\)[/tex], we will use the distance formula:

Distance = [tex]\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\)[/tex]

In this case, [tex]\((x_1, y_1) = (12, 5)\)[/tex] and [tex]\((x_2, y_2) = (3, 4)\)[/tex].

Substituting these values:

Distance = [tex]\(\sqrt{(3 - 12)^2 + (4 - 5)^2}\)[/tex]

Distance = [tex]\(\sqrt{(-9)^2 + (-1)^2}\)[/tex]

Distance = [tex]\(\sqrt{81 + 1}\)[/tex]

Distance = [tex]\(\sqrt{82}\)[/tex]

Now, approximate value of [tex]\(\sqrt{82}\)[/tex] to 1 decimal place:

[tex]\(\sqrt{82} \approx 9.1\)[/tex]

So, the correct response is 9.1.

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Answer:

$2.20/kg

Step-by-step explanation:

First, we must convert pounds to kilograms.

1 lb = 0.45 kg

If 1 lb costs $.99

then 0.45 kg costs $.99

0.45 kg = $.99

dividing both sides by 0.45

1 kg = .99 ÷ 0.45

1 kg = $2.20

Answer: In particular, let’s focus our attention on the behavior of each graph at and around . 2 and x= -1 for x < 2. There are open circles at both endpoints (2, 1) and (-2, 1). The third is h (x) = 1 / (x-2)^2, in which the function curves asymptotically towards y=0 and x=2 in quadrants one and two."

Step-by-step explanation: I think this is the problem ur on

The given relation → If a = b and b = c, then a = c is called transitive law and it holds true for all real numbers.

An equation is a statement that the depicts the values of two mathematical expressions as equal using an (=) sign. Example -

2x = 5

An expression is written using individual terms (either constant or variable) separated by mathematical operations. Example -

3x + 5y + 3

We have -

If a = b and b = c, then a = c.

The given relation holds true for all real numbers. This law is called transitive law. So, if A=5 for example, then B and C must both also be 5 by the transitive property

Therefore, the given relation → If a = b and b = c, then a = c is called transitive law and it holds true for all real numbers.

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Step-by-step explanation:

B = 1 4/5

because 1 is completely to the left, and from the distance between 1 and 2 B is at the end of the 4th of 5 sub-segments.

and 1 4/5 would be also 9/5, because B includes the 5 sub-segments (of 5) between 0 and 1. and then the 4 of 5 sub-segments between 1 and 2. so that are 9 sub-segments in total.

and each sub-segment represents 1 out of 5 (= 1/5) parts of each number interval.

therefore, we have 9×1/5 = 9/5.

Answer:

594.60

Step-by-step explanation:

basically you turn the percent into a decimal, so 0.85 times 3954. then you subtract 3964.00 and 3369.40 to get the answer <3

Answer:

The answer is B. about 6,000

Step-by-step explanation:

58,115/9=6,457

Answer:

-9/4

also known as

-2  1/4

Step-by-step explanation:

(10-1)/(5-9) = 9/-4

parallel = same slope

Answer:

slope = - [tex]\frac{9}{4}[/tex]

Step-by-step explanation:

Calculate the slope m of line f using the slope formula

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

with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )

m = [tex]\frac{1-10}{9-5}[/tex] = [tex]\frac{-9}{4}[/tex] = - [tex]\frac{9}{4}[/tex]

Parallel lines have equal slopes , then

slope of line g = - [tex]\frac{9}{4}[/tex]

The given bar graph shows the number of years that each president served in office, and the presidents of the United States are represented by the width of the bar graph.

A bar graph is one way of representing data, The height of the bar graph represents relative frequencies and the width of the bar graph represents

it's class width or an interval.

The height given bar graph represents no. of years each president lasted

and the width of the bar graph represents the Presidents of the United States.

R-Republican lasted the most no.of years which is 18 years and U-Union lasted the least no of years which is one.

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Answer:

m∠A=88°

Step-by-step explanation:

∠ABC=∠ACB=46° (base angles of isos triangle)

           ∠BAC=180°-46°-46° (angle sum of triangle)

                     =88°

Answer:

Step-by-step explanation:

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