-2/3(x+12)+2/3x= -5/4x +2
show your work thanks! :)

Answer:

rst = ust + usr

6x+12 = 78 + 3x - 12

3x = 54

3x+66 = 54 + 66

3x +66= 120

thus rst = 120

The measure of angle ∠RST in degree is 156°

The measure of angle is the amount of rotation performed by initial side to get the terminal side. A complete angle is divided by 360 equal parts we get 360 number of small angles. Each of these small angle has measure 1 degree.

Given that, ∠RSU=78° , ∠UST=(3x - 11)° and ∠RST=(6x + 12)°

Now, ∠RSU+UST=∠RST

Putting the values of ∠RST and ∠UST we get,

78 + (3x - 12) = 6x + 12

78 + 3x - 12 - 6x - 12 = 0

54 - 3x = 0

3x = 54

So, x = 54/3=18

Therefore, (6x + 12)°=(6×18 + 12)°

=(144 + 12)°

=156°

Hence the measure of angle ∠RST is 156°

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#SPJ5

Answer:

9.

Step-by-step explanation:

6 9 12 15:-  multiplying by 3.

Answer:

B) 9

Step-by-step explanation:

When looking in both the horizontal and vertical direction of the missing space, we can see that the difference between the two numbers, 12 and 15, is 3.

15 - 12 = 3

Using this, we can see that each space on the second row and second column change by 3. Therefore, when looking at the missing space in the sequence, we can figure out that it is 9 by adding 3 to 6.

Answer:

1/2

Step-by-step explanation:

the probability of the die rolling an even number  =  the probability of the die rolling an odd number  =1/2

Let us name these  2  dice as  A  and  B

One die can roll an even and the other can roll an odd, in the following cases

A  rolls even and  B  rolls odd. The probability of this happening  =1/2×1/2

A  rolls odd and  B  rolls even. The probability of this happening  =1/2×1/2

∴  The required probability

=1/2×1/2+1/2×1/2

=1/4+1/4

=1/2

The distance from the car to the base of the building is 107.46 feet

From the question We are given the following information

Angle of depression

Height of the building H = 37 feet

Required

distance from the car to the base of the building

Using the SOH CAH TOA identity

tan 19 = opp/hyp

tan 19 = 37/B
B = 37/tan 19
B = 37/0.34432
B = 107.46

Hence the distance from the car to the base of the building is 107.46 feet

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Expression A is 4 times as great as expression B.

Sure hope this helps you and pls mark me brainiest

Answer:

No

Step-by-step explanation:

If 18 are papaya or banana and none are guava then the remaining two trees would split the 36 50-50

Answer:

1/4=0.25

Step-by-step explanation:

1/4=25/100

write that as a decimal (numerical expression) its 0.25

Answer:

Height of base (x) is 9cm exact

Step-by-step explanation:

Answer:

113cm² total

area of triangle + area for small rectangle + area of 2nd rectangle

If Dana paid a total of $18,321.60, then the amount that she paid for in service charges will be $730.08

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

For service charge

[tex]\rm Pv = PMT[(1 - (1 + (r/k))^{-kn}) / (r/k)][/tex]

Where;

Pv is the amount of the loan = $15400

PMT is monthly payment

R is interest rate = 6.68% = 0.0668

K is number of times compounded monthly = 12

N is time = 4years

PMT the subject of the formula gives

[tex]PMT = Pv/ [(1 - (1 + (r/k))^{-kn}) /(r/k)][/tex]

PMT = 15,400 ÷ ((1 − (1 + 0.0668 ÷ 12)^(−12 × 4)) ÷ (0.0668 ÷ 12))

PMT = 366.49

Thus, the total amount paid

A = 366.49 × 12months × 4years

A = $17,591.52

Thus, the Service charge is

S.C = 18,321.60 − 17,591.52

S.C = $730.08

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circumference of circle: 2πr              ("r" is the radius)

==========

Answer:

15.7 cm²

Step-by-step explanation:

Given:

[tex]\text{Radius of circle: 2.5 cm}[/tex]

Formula:

[tex]\text{Circumference:} \ 2\pi r[/tex]

Substitute the radius in the circumference formula:

[tex]\implies \text{Circumference:} \ 2\pi r[/tex]

[tex]\implies \text{Circumference:} \ 2\pi (2.5)[/tex]

Take π as 3.14 (Approx. value of π):

[tex]\implies \text{Circumference:} \ 2(3.14)(2.5)[/tex]

Simplify the circumference:

[tex]\implies \text{Circumference:} \ (3.14)(5)[/tex]

[tex]\implies \text{Circumference:} \ 15.7 \ \text{cm}^{2}[/tex]

Answer:

[tex]192cm^{2}[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} bh[/tex]

We know that b is the measurement of the base, 12, and h is the height of the cone, 32. Now we can simply insert those numbers into the equation and solve it.

[tex]A = \frac{1}{2} (12*32)\\\\A = \frac{1}{2} (384)\\\\A = \frac{384}{2} \\\\A = 192[/tex]

A quadratic equation is an equation whose leading coefficient is of the second degree. The factored form of the quadratic equation x²-x-2 is (x+1)(x-2).

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

The factored form of the quadratic equation can be done in the following manner,

[tex]x^2-x-2\\\\= x^2-2x+x-2\\\\=x(x-2)+(x-2)\\\\=(x+1)(x-2)[/tex]

Thus, the factored form of the quadratic equation x²-x-2 is (x+1)(x-2).

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Answer:

2y+1 is the correct answer.

Answer:

11%.

Step-by-step explanation:

Total miles walked = 5+5+3+3 +2+7+4 = 29.

%age error = [(35-29)/35] * 100

= 4/35 * 100

= 11%.

=

Answer:

A

Step-by-step explanation:

Starting amount =                             307.50

1 month saving = 100

5 month saving = 5*100                   500.00

Total so far                                         807.50

Let the total amount be x

75% *x = 807.50

75/100 x = 807,59                              Multiply both sides by 100

75 x = 807.50 * 100                          

75 x = 80750                                      Divide by 75.

x = 80750 / 75

x = 1076.67

That is not the answer. That's the total cost of the laptop.

The amount needed is

Amount needed = Total Cost - what has been saved

Amount needed = ????

Total Cost = 1076.67

What has been saved = 807.50

Answer

Amount needed = 1076.67 - 807.50 = 269.17

Step-by-step explanation:

just follow PEMDAS trust me this will be a lifesaver

Answer:

64 cm²

Right corner rectangle:

Bottom rectangle:

Together:

Answer:

d.  64 cm²

Step-by-step explanation:

Separate the shape into two rectangles (see attached image).

Formula

Area of a rectangle = width × length

Rectangle 1

Area = 2 × 12

        = 24 cm²

Rectangle 2

Area = 5 × (10 - 2)

        = 5 × 8

        = 40 cm²

Total Area

Total area = Area of Rectangle 1 + Area of Rectangle 2

                  = 24 + 40

                  = 64 cm²

Answer:

B -- Recipe 2 (Gluten-Free)

Step-by-step explanation:

Recipe 1

5 / 16 = 0.3125

Recipe 2

3 / 8 = 0.375

Recipe 2 (Gluten-Free) has a higher ratio so it must have a stronger taste.

Answer:

Your answer would be:
B.) The gluten-free batch has the stronger butterscotch

Regular batch:
5 / 21

5 / 21 = 25 / 110




Gluten-free batch:
3 / 11

3 / 11 = 30 / 110


Solution:
30 / 110 > 25 / 110

In conclusion, the gluten-free batch has the stronger butterscotch.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

The value of x, which is the length of ST in the given similar polygons is: 2.4.

If two shapes are similar to each other, the ratio of their corresponding side lengths would be equal.

Thus, since both pentagons are similar, we would have:

CB/RQ = DE/ST

Plug in the values

5/6 = 2/x

Cross multiply

x = (6 × 2)/5

x = 12/5

x = 2.4

Therefore, the value of x, which is the length of ST in the given similar polygons is: 2.4.

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The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. The correct option is D.

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The given expression is;

[tex]f(x) = 3x + 2 \\\\ g(x) = x_2 + 1[/tex]

[tex](f g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1[/tex]

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. Option D is correct.

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Answer:

x=6

Step-by-step explanation:

FG is similar to MN just like GH is similar to NP.  GH is 20, which is double NP,10. Then, MN should be half of FG, 12, so 6 is your answer.

Answer:

s the answer is 40

n

Step-by-step explanation:

a the formula is A=bh

p so 8*5=40

dsan168

Answer:

ill say acute

Step-by-step explanation:

if im wrong tell me but if im not pls mark brainllest!

Answer:

This triangle is Acute.

Step-by-step explanation:

To figure this out you add the length of the two smaller sides if the sum is greater than the longest side then the answer is Acute. I really hope this helps have a wonderful day!

Step-by-step explanation:

[tex]{x}^{2} + 6x - 9 = 0[/tex]

[tex] { x }^{2} + 6x - 9 + 18 = 0 + 18[/tex]

[tex] {x}^{2} + 6x + 9 = 18[/tex]

[tex] {(x)}^{2} + 2(x)(3) + {(3)}^{2} = 18[/tex]

[tex] {(x + 3)}^{2} = 18[/tex]

Answer:

5/16

Step-by-step explanation:

When multiplying fractions, you multiply the numerator by the numerator & the denominator by the denominator.

So 5/8 x 1/2 = 5 x 1/8 x 2 = 5/16

Answer:

C. -4x² + 5x - 28

Step-by-step explanation:

1. Expand -7(x² + 4):

-7x² - 28

3x² + 5x -7x² - 28

2. Group like terms:

-4x² + 5x -28

hope this helps :)