Mathematics High School

Name the angle pair relationship and solve for the given angle

Answers

Answer 1

Answer:

The angle (7x-14) and (4x+19) are corresponding angles. Both angles are 63 degrees.

Step-by-step explanation:

Since the two angles are corresponding, they are equal.

7x-14 = 4x + 19

Subtract the 4x on right side to get 19 alone. Do the same on the left side since, whatever you do on one side, you have to do to the other.

3x-14 = 19

Add the -14 on the left side to get 3x alone. Do the same on the right side since, whatever you do on one side, you have to do to the other.

3x = 33

Divide by 3.

x = 11

Related Questions

The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.

Answers

Answer:

(64.7, 67.9)

Step-by-step explanation:

(66.3-2*08, 66.3+2*0.8)

(66.3-1.6, 66.3+1.6)

(64.7, 67.9)

A book has 5 pages,10 copies of the same books will be made .How many pages will be printed?

Answers

Answer:

Step-by-step explanation:

5 pages * 10 copies = 50 pages

d/dx (sin^3 x) = d/dx (sinx sinx sinx) = ?
1. cos x sin^2x
2. 1+2 sin^2x cos x
3. 3 sin^2x cos x
4. 2 sinx cos x+sin^2x cos x
5. 2 cos x sin^2x+ sin x cos x

Answers

Step-by-step explanation:

1)2*(Cos(x)^2*Sin(x))-Sin(x)^3

2)4*(Cos(x)^2*Sin(x))-2*Sin(x)^3

3)6*(Cos(x)^2*Sin(x))-3*Sin(x)^3

4)2*Cos(x)^2+2*(Cos(x)^2*Sin(x))-2*Sin(x)^2-Sin(x)^3

5)Cos(x)^2+4*(Cos(x)^2*Sin(x))-Sin(x)^2-2*Sin(x)^3

a = 5/3 right angle,find b

Answers

Answer: i can't

Step-by-step explanation: what b

there's no picture attached

does b have any value?

put a picture and i'll edit my answer

solve please ;3 ( will give brainliest ♡ )

Answers

Hey!!

If h(x) =7x + 3x^2 and u want h(4)
U just do this x=4

h(x) =7x + 3x^2 , x=4

h(4) =7x4 + 3x4^2
h(4) =28 + 3x4^2
h(4) =28 + 48
h(4) =76 , i think that’s it

what is the equation for the line that is parallel to the y-axis and passes through the point (2, -5)?

Answers

Answer:

X = 2

Step-by-step explanation:

I need help can someone help?

Answers

Step-by-step explanation:

Using Pythagoras theorem,

Let the ratio of the sides be x

B²=H²-P²

B²= (25x)²-(21x)²

B²=625x²-441x²

B²=184x²

B=13.56x.

hope this helps you.

Answer:

Your answer is [tex]\sqrt{184}[/tex] or 13.5646599663...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\A^{2} +21^{2} = 25^{2} \\A^{2} = 25^{2} - 21^{2} \\A^{2} = 625-441\\A^{2} = 184\\A = \sqrt{184}[/tex]

Hope this helps!

Please solve with explanation

Answers

Answer:

Hope it helps you.......

Distribute: -(14s+9)-7(s+11)

Answers

Answer: -21s-86

Step-by-step explanation:

Distribute the -1 to the 14s+9 (this means multiply-1 and 14s, then multiply -1 and 9) to get -14s-9. Then distribute the -7 to the s+11 (this mean multiply -7 and s, then multiply -7 and 11) to get -7s-77. You will now have the equation -14s-9-7s-77. Simplify this by adding like terms (-14s-7s) and (-9-77) you will get the equation: -21s-86

Distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

From the question,

We are to distribute -(14s+9)-7(s+11)

To do this,

We will clear the bracket by distributing the terms outside

That is,

-(14s+9)-7(s+11) becomes

-14s -9 -7s -77

Now, if desired, we can simplify further by collecting like terms

-14s -9 -7s -77

-14s -7s -9 -77

Then, we get

-21s -86

The simplified expression is -21s -86

Hence, distributing -(14s+9)-7(s+11) gives -14s -9 -7s -77; and further simplification results into -21s -86

Learn more here: https://brainly.com/question/11854155

alguien me ayuda????

Answers

What do you need help with?

What is the formula for distance?

Answers

Answer:

-7.763 will be the total to the answer.

JK has endpoints (-2, 10) and K(10, -14). Point L divides JK into two parts with lengths in a
ratio of 5:1.
What are the two possible locations of L?
(5, 6)
(2, -4)
(8, -10)
(4, -2)
(2, 1)
(0,6)

Answers

Answer:

(8, - 10) or (0, 6)

Step-by-step explanation:

There are two options as below.

1. JL/JK = 5 : 1

Find the coordinates of L:

x = -2 + 5/6(10 - (-2)) = -2 + 10 = 8y = 10 + 5/6(-14 - 10) = 10 - 20 = - 10

The point is L(8, - 10)

2. JL/JK = 1 : 5

Find the coordinates of L:

x = -2 + 1/6(10 - (-2)) = -2 + 2 = 0y = 10 + 1/6(-14 - 10) = 10 - 4 = 6

The point is L(0, 6)

please help I dont understand

Answers

Answer:

I dont know The answer sorry

Step-by-step explanation:

Answer: 2

Step-by-step explanation: The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Line segment RS has endpoints R (-2, 4) and S (-4, -1).

Line segment R''S'' has endpoints R'' (3, -3) and S'' (5, 2).

Name the transformation that maps line segment RS to line segment R''S''.

Answers

Answer:

rotation 180° (ccw) over point (0.5 , 0.5)

Step-by-step explanation:

R (-2, 4) , S (-4, -1) -> R'' (3, -3) , S'' (5, 2)

check: rotation over (0.5,0.5) 180°

x'' = - (x - x₀) + x₀ .. x: original x coordinate, x₀ : center of rotation

y" = - (y - y₀) + y₀

for R" : x" = - (-2 - 0.5) + 0.5 = 3

y" = -(4 - 0.5) + 0.5 = -3

You can verify the coordinates of S" by the above formula.

** (0.5,0.5) is the intersect of RR" and SS"

Solve for x.

2x/3 +1=3

O x =6
O x =3
O x = 1 1/3
O x = 2 2/3

Answers

Answer:

3......................

Answer:

X=3!

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

Step 1: Simplify both sides of the equation.

Step 2: Subtract 1 from both sides.

Step 3: Multiply both sides by 3/2.

Answer:

x=3

Which models show the problem 4
6
÷ 2
6
= 2? Check all that apply.

An area model has 4 shaded parts and 2 unshaded parts. 2 circles are each drawn around 2 shaded parts.
A number line going from 0 to 1. An arrow goes from 0.6 to 0.4, and from 0.4 to 0.
A fraction bar. The top bar is labeled 1. 6 bars underneath the bar are labeled one-sixth. 4 of the bars are circled.
An area model has 2 shaded parts and 4 unshaded parts. The 2 shaded parts are circled.

Answers

Answer:

the second and last sentences.

Step-by-step explanation:

Its the most reasonable!

Answer:

Complete the conjecture based on the pattern you observe in the examples below:

Conjecture: The sum of any two odd numbers is ___

1 + 1 = 2 9 + 11 = 20

1 + 5 = 6 13 + 21 = 34

7 + 9 = 16 101 + 103 = 204

Conjecture: The product of any two numbers is ___

1 . 1 = 1 9 . 11 = 99

1 . 3 = 3 13 . 11 = 143

3 . 7 = 21 101 . 103 = 10,403

Conjecture: The product of a number (x-1) and the number (x+1) is always equal to ___

3 . 5 = 4² - 1 7 . 9 = 8² - 1

4 . 6 = 5² - 1 6 . 8 = 7² - 1

5 . 7 = 6² - 1 8 . 10 = 9² - 1

Answers

Step-by-step explanation:

the writing and spacing of the problem description is difficult to understand.

but there is no mystery. look at the examples.

all of them

3×5 = 15 = 16 - 1 = 4² - 1

4×6 = 24 = 25 - 1 = 5² - 1

5×7 = 35 = 36 - 1 = 6² - 1

6×8 = 48 = 49 - 1 = 7² - 1

7×9 = 63 = 64 - 1 = 8² - 1

8×10 = 80 = 81 - 1 = 9² - 1

so, what does this look like ?

(x-1)×(x+1) is always equal to (x² - 1)

solve 4(2x-5)=5x+4 pls

Answers

Answer:

x=8

Step-by-step explanation:

4(2x-5)=5x+4

Distribute

8x -20 = 5x+4

Subtract 5x from each side

8x -20 -5x = 5x+4-5x

3x-20 = 4

Add 20 to each side

3x-20+20 = 4+20

3x = 24

Divide by 3

3x/3 =24/3

x=8

work out x when the area is root 4 2^2 and angle C is 45 and ab are (x+2)(2x-3)

Answers

Answer:

x = 3.08

Step-by-step explanation:

Area formula:

A = 1/2bh

The height is:

h = (x + 2)sin 45° = (x + 2) ×√2/2

Substitute the value for area and set equation:

4√2 = 1/2 × (2x - 3) × √2(x + 2)/2(2x - 3)(x + 2) = 162x² + x - 6 = 162x² + x - 22 = 0D = 1 + 4*2*22 = 177x = (-1 + √177)/4 = 3.08 (rounded)

Note the second root ignored as negative

Answer:

x = 3.08 (3 s.f.)

Step-by-step explanation:

Area of a Triangle (using sine)

[tex]\sf Area=\dfrac{1}{2}ac \sin B[/tex]

where:

a and c are adjacent sidesB is the included angle

Given:

Area = 4√2 m²a = (2x - 3) mc = (x + 2) mB = 45°

Substitute the given values into the formula:

[tex]\implies 4\sqrt{2}=\dfrac{1}{2}(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \sin 45^{\circ}[/tex]

[tex]\implies 8\sqrt{2}=(2x-3)(x+2) \left(\dfrac{\sqrt{2}}{2}\right)[/tex]

[tex]\implies 8\sqrt{2}\left(\dfrac{2}{\sqrt{2}}\right)=(2x-3)(x+2)[/tex]

[tex]\implies (2x-3)(x+2) =16[/tex]

[tex]\implies 2x^2+4x-3x-6=16[/tex]

[tex]\implies 2x^2+x-22=0[/tex]

Use the Quadratic Formula to solve for x:

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0[/tex]

[tex]\implies a=2, \quad b=1, \quad c=-22[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{1^2-4(2)(-22)} }{2(2)}[/tex]

[tex]\implies x=\dfrac{-1 \pm \sqrt{177}}{4}[/tex]

[tex]\implies x=3.08, -3.58\:\: \sf (3 \:s.f.)[/tex]

As distance is positive:

[tex]\implies x=3.08 \:\:(3 \sf \:s.f.) \:\textsf{only}[/tex]

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