Which is equivalent to (square root 10) ^3/4? ​

Given:

In a right angle triangle, the measure of exterior angle is [tex](9x+16)^\circ[/tex].

The measure of opposite interior angle is [tex](5x-14)^\circ[/tex].

To find:

The value of x.

Solution:

Exterior angle theorem: In a triangle the measure of an exterior angle is equal to the measure of sum of two interior angles.

Using exterior angle theorem, we get

[tex](9x+16)^\circ=90^\circ+(5x-14)^\circ[/tex]

[tex](9x+16)^\circ=(5x+76)^\circ[/tex]

[tex]9x+16=5x+76[/tex]

Isolate the variable x.

[tex]9x-5x=-16+76[/tex]

[tex]4x=60[/tex]

[tex]x=\dfrac{60}{4}[/tex]

[tex]x=15[/tex]

The value of x is 15. So, the measure of the exterior angle is:

[tex](9x+16)^\circ=(9(15)+16)^\circ[/tex]

[tex](9x+16)^\circ=(135+16)^\circ[/tex]

[tex](9x+16)^\circ=151^\circ[/tex]

Therefore, the value of x is 15 and the measure of the exterior angle is 151 degrees.

Answer:

(x+1)(2x+5)

Step-by-step explanation:

Answer:

point a

Step-by-step explanation:

start from the axis go up 3 to the left one and point a is five units below point g

Answer:

Point B is 5 units from point G.

Step-by-step explanation:

The ordered pair (3,-1) is 4 units down from point D.

And point B is 5 units to the left of point G.

Answer:

306mm²

Step-by-step explanation:

the height h = 86/2 -34 = 43-34=9mm

the area = 34×9= 306mm²

Answer: (I am assuming this is 2D?)

Two bases together: 34 * 2

68

Two lengths together is p - two bases:

18

Individual length:

9

Area is base times length

9 * 34

306mm

Answer:

True

Step-by-step explanation:

A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D

Answer:

Step-by-step explanation:

just remember that [tex]\sqrt{x} = x^{1/2} ....... \sqrt[3]{x} = x^{1/3} \\also that (x^{a})^{b} = x^{a*b}[/tex]

1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Answer:1) x^3 = x^ (3/4) ===> FALSE

2) x^3/4 = x^3/4 ===> TRUE

3) x^3/4 = x^3/4 ===> TRUE

4) x^(4/3) = x^(4/3) ===> TRUE

Step-by-step explanation:

Answer:

The area of the polygon will be 8 unit square.

If you draw lines from each point you will find 6 squares and 4 triangles. Since area of triangle is half than that of square, you can count two traingles to be equal of a square.

Answer:

43°

Step-by-step explanation:

Angle B is congruent to the opposite angle.

Answer:

hmm what could it be I DNT kno

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

Answer:

5(u - 3)

Step-by-step explanation:

5u - 15

5(u - 3)

Answer:

5 (u - 3)

Step-by-step explanation:

Answer:

30°

Step-by-step explanation:

x = 180° -60°-90° = 30°

Answer:

531

Step-by-step explanation:

2124 = 4% × Y

Y = 2124 × 100/4

Y = 2124 × 100 ÷ 4

Y = 53100

Answer:

6x-1

Step-by-step explanation:

m(x)= 2x-9

p(x)= 4x+8

(m+p)(x)  = 2x-9+4x+8

= 6x-1

Answer:

B. -2t^2 + 3t - +4 is the answer.

Answer:

The answer is LP and QP, and PL and PQ.

Step-by-step explanation:

Do you want to know from where I got the answer?

I got this answer from an app called Gauthmath where I found the solution for it direct from the tutor, which is right in most cases. You can check the app at Play Store and App Store.

Hope this helps.

Answer:

11.1 feet

Step-by-step explanation:

From the solution triangle attached, the required distance is represented as x ; the value of x can be obtained using trigonometry ;

Cosθ = opposite / Adjacent

Cos 20 = 10.5 / x

x * Cos 20 = 10.5

x = 10.5 / cos 20

x = 11.174 feets

I think the second number is supposed to be negative, -11/2 = -5.5, because otherwise the sequence is not arithmetic.

The n-th term of the sequence, starting with n = 1, is then

-6 + 0.5 (n - 1) = 0.5n - 6.5

and we want to find the number N such that

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5)=-25[/tex]

We have

[tex]\displaystyle\sum_{n=1}^N(0.5n-6.5) = 0.5\sum_{n=1}^Nn-6.5\sum_{n=1}^N1\\ = 0.5\times\frac{N(N+1)}2 - 6.5N \\= 0.25N^2-6.25N = -25[/tex]

Solve for N :

0.25 N ² - 6.25N + 25 = 0

N ² - 25N + 100 = 0

(N - 20) (N - 5) = 0

N = 20   or   N = 5

Answer:

maybe

Step-by-step explanation:

but what help do u want?

Answer:

b. (x-3)(x+2)

Step-by-step explanation:

y=x^2-x-6

y=x^2-3x+2x-6

=x(x-3)+2(x-3)

=(x-3)(x+2)

Answer:

27 and 36

Step-by-step explanation:

x + (x - 9) = 63

2x - 9 = 63

add 9 to both sides

2x = 72

Divide both sides by2

x = 36

x - 9 = 36 - 9

x - 9 = 27

Answer:

67

Step-by-step explanation:

we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle

opposite side = 665 - 5 = 660

adjacent side = 280

tan = opposite / adjacent

[tex]tan^{-1}[/tex] (660/280) = 67

Answer:

67

Step-by-step explanation:

I took it on EDG

Answer:

Angle 2 = Angle 4 ( vertically opposite angles)

Answer:

Measure Of Angle K is 82*

Step-by-step explanation:

According To Question, We Have Given

A Quadrilateral JKLM, We Know Sum Of All The Angles Of Quadrilateral Is 360* .

Thus

∠JKL=90*

∠KLM= 180* - 110* = 70* ( Find Diagram In Attachment )

∠MJK=118* (Alternative Opposite Angle)

Now We Have To Find The Value Of ∠LKJ.

∠K = 360* - (∠MJK+∠KLM+JKL)

∠K = 360* - (118* + 70* + 90*)

∠K = 360* - 278*

∠K = 82*

(Diagram, Please Find In Attachment)

Answer:

f^-1 (x)= 2×/×-1 is your answer

Answer:

10.92 inches

Step-by-step explanation:

So Nate grows 1.68 inches a month in this case you have 6 and a half month which is equivalent to 6.5 and so in this case you can multiply.

1.68 inches*6.5 months = 10.92 inches

Answer:

10.92 inches

Step-by-step explanation:

Use a proportion. Set up two ratios equal to each other.

Given ratio:

The ratio of months to inches of growth is

1 month : 1.68 inches or 1/1.68

Now set up a ratio involving the unknown amount.

6 1/2 is the same as 6.5

In 6.5 months, he grows x inches.

6.5 months : x inches, or 6.5/x

Set the ratios equal creating a proportion.

[tex] \dfrac{1}{1.68} = \dfrac{6.5}{x} [/tex]

Cross multiply.

1 * x = 1.68 * 6.5

x = 10.92

Answer: 10.92 inches

Answer:

100:350                   simplified: [tex]\frac{2}{7}[/tex]

Step-by-step explanation

A ratio of 2:3 means that for every item of A, we can expect of item B. Therefore, our total group is 2+3=5.

Calculate expected number of item A:

[tex]\frac{2x500}{5}[/tex]

Expected number of item A: [tex]\frac{1000}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item A: 200

Calculate expected number of item B:

[tex]\frac{3x500}{5}[/tex]

Expected number of item B: [tex]\frac{1500}{5}[/tex]

This fraction can be reduced by 5 giving you:

Expected number of item B: 300

[tex]\huge\bold{Given :}[/tex]

Product of two numbers = 1.875

One of the number = 2.5

[tex]\huge\bold{To\:find :}[/tex]

The second number.

[tex]\huge\bold{Solution :}[/tex]

[tex]\sf\blue{The \:second\:number \:is\:0.75 .}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the second number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: numbers = 1.875 [/tex]

[tex]⇢ \: 2.5 \times x = 1.875[/tex]

[tex]⇢x = \frac{1.875}{2.5} [/tex]

[tex]⇢x = 0.75[/tex]

[tex]\sf\purple{Therefore,\:the\:second\:number\:is\:0.75.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]2.5 \times x = 1.875[/tex]

[tex]➪ \: 2.5 \times 0.75 = 1.875[/tex]

[tex]➪ \: 1.875 = 1.875[/tex]

➪ L. H. S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Step-by-step explanation:

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