What is the measure of ∠4?

Answer:

C

Step-by-step explanation:

Into the thick of it

Answer:

A

Step-by-step explanation:

Math

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Work Shown:

If we want this figure to be a parallelogram, then the opposite sides EH and FG must be the same length.

Let's use that fact to solve for x.

EH = FG

17x-29 = 12x-8

17x-12x = -8+29

5x = 21

x = 21/5

x = 4.2; answer is choice A

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Extra info:

If x = 4.2, then,

Both EH and FG are 42.4 units long which helps confirm the answer.

Answer:

5

Step-by-step explanation:

3*5=15

15+3=18

and

6*5=30

30-12=18

The value of the unknown number is 5. The correct option is B.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that 3 is more than 3 times a number is equal to 12 less than 6 times the number.

The value of the unknown number will be calculated as,

3n + 3 = 6n - 12

6n - 3n = 12 + 3

3n = 15

n = 5

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Answer:

mark me

Step-by-step explanation:

x+y=3

x=3-y

putting the value of x

in this

x²+y²=5

(3-y) ²+y²=5

9-6y+y²+y²=5

2y²-6y+9-5=0

2y²-6y+4=0

2y²-4y-2y+4=0

2y(y-2)-2(y-2)=0

(2y-2) (y-2) =0

2y-2=0 or y-2=0

y=1 or y=2

so x=2 or 1

so x×y=2×1 or 1×2=2

I HOPE THIS WILL HELP YOU MARK ME BRAINLIEST

Answer:

A)

Step-by-step explanation:

mark me brainliest plzzzzzzz

Answer:

Step-by-step explanation:

2100000 × (1.06)³= sorry I don't have a calculator but type that in.

The power 3 is for the years 2012 and 2015 as there is a 3 year gap. Hope that helps

Answer:

$18.75

Step-by-step explanation:

15% = 15/100

125 × 15/100

=1875/100

=18.75

Answer:

[tex]x=4.02[/tex]

Step-by-step explanation:

The given triangle is a right triangle, this is indicated by the box around one of the angles, signifying that the angle is a (90) degree angle. Therefore, to solve this problem one must use trigonometric ratios. These ratios are used to describe the relationship between an angle and the sides in a right triangle.

[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}\\[/tex]

Bear in mind, the names of the sides of the triangle are relative to the angle that one uses to describe it in the triangle. Therefore the (opposite) and (adjacent) sides will change depending on the angle one chooses to look at it from.

In this case, one is given the length of the side opposite the given angle. One is asked to find the measure of the side adjacent to the angle. Therefore, it would make the most sense to use the tangent (tan) ratio.

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Substitute,

[tex]tan(20)=\frac{9}{x}[/tex]

Manipulate the equation such that it is solved for (x),

[tex]x=\frac{9}{tan(20)}[/tex]

Solve,

[tex]x=4.02[/tex]

Answer:

The answer is (-sin(cos^4a(x)))^4a

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

Answer:

the answer is A. 0.48 $

Step-by-step explanation:

the price of ounce of the watermelon is :

[tex] \frac{5.76}{12} = 0.48 \: [/tex]

Answer:

60.9º

Step-by-step explanation:

tan = opp/adj

tanX = 45/25

X = arctan 45/25

use calculator

X = 60.945395900922855

Rounded

60.9º

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

Answer:

c = 1062

Step-by-step explanation:

first move the terms

251 - c = -811

move the constant to the right hand side and change its sign

-c = -811 - 251

calculate the difference

- c = -1062

change the signs in both sides of the equation

c = 1062

Answer:

1062

Step-by-step explanation:

811 + 251=1062

Answer:

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

this figure can be "split" into 3 sub-figures.

one rectangle in the middle, one triangle to the right, and one triangle on top.

these areas we can calculate very easily. and then we simply sum up all 3 of them and we have the answer.

it is clear, the area of a rectangle is length×width.

and the area of triangle is baseline×height/2.

where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

the rectangle

R = 10×6 = 60

the triangle to the right

T1 = (14-10)×6/2 = 12

the triangle on the top

T2 = 10×(10-6)/2 = 20

so, the total area is

60+12+20 = 92

The area of the given figure is 92.

This figure contained 3 sub-figures.

One rectangle in the middle, one triangle to the right, and one triangle on top.

The area of these areas we can calculate very easily. and then we ad  all 3 of them and we have the answer.

The area of a rectangle is,

[tex]A=length\times width.[/tex]

The area of triangle is

[tex]A^*= \frac{1}{2} \times base\times height[/tex]

Where in a right-angled triangle one of the sides next to the 90 degree angle is the baseline and the other is the height.

The area of  rectangle

[tex]R =l\times w \\R=10\times 6 \\R= 60[/tex]

The triangle to the right

[tex]T_1 = (14-10)\times 6/2 = 12[/tex]

The triangle on the top

[tex]T_2 = 10\times (10-6)/2 = 20[/tex]

Therefore, the total area is,

60+12+20 = 92

Therefore the area of the given figure is 92.

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Answer: 18 color papers

Step-by-step explanation:

The ratio of color paper to white paper is 3:8 which means that for every 3 color papers there should be 8 white papers.

If there are 48 white papers therefore, you need to use direct proportion to solve for the color papers:

3        :       8

x                48

8x = 144

x = 144 / 8

x = 18 color papers

Answer:

9/10 x 4/5 = 36/50 simplified = 18/25 is your area

Arithmetic

Bring all numbers in the parentheses to the third power.

[tex]( { - 5}^{3} \times {4}^{3} )[/tex]

It is easier to not simplify the numbers.

[tex] { - 5}^{3} \times {4}^{3} = { - 20}^{3} [/tex]

Don't add the exponents, and multiply the numbers.

The expression (–5 × 4)³ is equivalent to the expression –8000.

The equivalent is the expressions that are in different forms but are equal to the same value.

The expression is given below.

⇒ (–5 × 4)³

Simplify the expression, we have

⇒ (–5 × 4)³

⇒ (–20)³

⇒ –20³

⇒ –8000

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Answer:

Step 1. Read the problem. Make sure you understand all the words and ideas.

Step 2. Identify what you are looking for.

Step 3. Name what you are looking for.

Step 4. Translate into an equation. Restate the problem in one sentence. Then translate into an equation.

Step 5. Solve the equation using good algebra techniques.

Step 6. Check.

Step 7. Answer the question.

Step-by-step explanation:

Answer:

8/23. Sana po makatulong

Answer:

22.1

Step-by-step explanation:

33.15/n

33.15/1.5

= 22.1

Answer:

13 pounds

Step-by-step explanation:

volume = base area × height

area of a rectangular triangle = a×b/2

Vp = (2×3/2) × 5 = 3×5 = 15 ft³

weight of contents = 15 × 0.84 = 12.6 pounds = 13 pounds rounded.

Answer:

IK = 20

Step-by-step explanation:

If Point J is on the line segment IK, then;

IK = IJ + JK

Given that

IJ = 4

IK = 5x

JK = 4x

Substitute into the expression

5x = 4 + 4x

5x - 4x  = 4

x = 4

Get the value of IK

IK = 5x

IK = 5(4)

IK = 20

Hence the numerical length of IK is 20

Answer:

19 measures the median

Step-by-step explanation:

The dot plot is not shown, but the question can still be answered.

We have:

[tex]Samples: 18, 18, 18, 18, 20, 20, 22, 23[/tex]

[tex]n = 8[/tex]

Calculate the median position using:

[tex]Median = \frac{n + 1}{2}th[/tex]

[tex]Median = \frac{8 + 1}{2}th[/tex]

[tex]Median = \frac{9}{2}th[/tex]

[tex]Median = 4.5th[/tex]

4.5th means the median is the mean of the 4th and 5th item.

We have:

[tex]4th = 18[/tex]

[tex]5th = 20[/tex]

So:

[tex]Median = \frac{18 + 20}{2}[/tex]

[tex]Median = \frac{38}{2}[/tex]

[tex]Median = 19[/tex]

Answer:

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

Step-by-step explanation:

2r² + 7r - 1 = 3r²

2r² + 7r - 1 - 3r² = 0

- r² + 7r - 1 = 0

- (r² - 7r + 1) = 0

- (r² - 7r + 1) ÷ - 1 = 0 ÷ - 1

r² - 7r + 1 = 0

[tex]r=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]

Ignore the A before the ±. It wouldn't let me type it correctly.

r² - 7r + 1 = 0

a = 1

b = - 7

c = 1

[tex]r=\frac{-(-7)±\sqrt{(-7)^{2}-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4((1)(1)) } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{49-4 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{45 } }{2(1)}[/tex]

[tex]r=\frac{-(-7)±\sqrt{(3)(3)(5) } }{2(1)}[/tex]

[tex]r=\frac{7±(\sqrt{3 } )(\sqrt{3})(\sqrt{5}) }{2(1)}[/tex]

[tex]r=\frac{7±3\sqrt{5} }{2}[/tex]

Two separate equations

[tex]r=\frac{7+3\sqrt{5} }{2}[/tex]

[tex]r=\frac{7-3\sqrt{5} }{2}[/tex]

Answer:

overdraft fees is your answer

Step-by-step explanation: