Matthew was assigned 234 math problems over the weekend. He completed five times as many problems on Saturday than Sunday. How many math problems did Matthew solve on Saturday?

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:

hmm what could it be I DNT kno

Answer:

the first one, 64(-1/2)^(n-1)

Step-by-step explanation:

To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer

Answer:

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

Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.

For example below below:

The following relation is a function since there are no same x-values in a set.

The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.

From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.

Answer

Answer:

36˚

6 cm

tangent

8.3 cm

10.2 cm

Step-by-step explanation:

The side lengths of the regular pentagons are congruent

A pentagon has 5 sides, and the central angle is 360°.

Calculate the measure of ABD using:

ABD = 360°/5

ABD = 72

The measure of CBD is half the measure of ABD.

So, we have:

CBD = 0.5 * 72

CBD = 36

Hence, the measure of CBD is 36 degrees

A pentagon has 5 sides, and the given perimeter is 60 cm

Calculate the length of AD using:

AD = 60cm/5

AD = 12

The length of CD is half the length of ABD.

So, we have:

CD = 0.5 * 12

CD = 2

Hence, the length of CD is 6 cm

cm

Using the angle CBD, the trigonometric ratio can be used to compare BC to CD is the tangent ratio

We have:

tan(CBD) = CD/BC

Make BC the subject

BC = CD/tan(CBD)

Substitute known values

BC = 6/tan(36)

Evaluate

BC = 8.3 cm

Hence, the approximate length of BC is 8.3 cm

By Pythagoras theorem, we have:

BD^2 = BC^2 + CD^2

This gives

BD^2 = 8.3^2 + 6^2

Take the square root of both sides

BD = 10.2 cm

Hence, the approximate length of BD is 10.2 cm

Read more about regular pentagons at:

https://brainly.com/question/14961220

Answer:

yes you physically can

Step-by-step explanation:

Answer:

(3x + 4)(x - 1)

Step-by-step explanation:

3x^2 + x - 4

use middle term break method

we need two number which gives 12 when multiplied and 1 when subtracted

3x^2 + (4 - 3)x - 4

3x^2 + 4x - 3x - 4

x(3x + 4) -1(3x + 4)

(3x + 4)(x - 1)

Answer:

(x - 1)(3x + 4)

Step-by-step explanation:

Given

3x² + x - 4

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 4 = -12 and sum = + 1

The factors are - 3 and + 4

Use these factors to split the x- term

3x² - 3x + 4x - 4 ( factor the first/second and third/fourth terms )

= 3x(x - 1) + 4(x - 1) ← factor out (x - 1) from each term

= (x - 1)(3x + 4) ← in factored form

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:

Angle 2 = Angle 4 ( vertically opposite angles)

Answer:

6x-1

Step-by-step explanation:

m(x)= 2x-9

p(x)= 4x+8

(m+p)(x)  = 2x-9+4x+8

= 6x-1

Step-by-step explanation:

I don't know the answer try again later

Answer:

The circumference of the back wheel is 2.62 inches

Step-by-step explanation:

Given

[tex]d_1 = 5in[/tex] --- diameter of front wheel

[tex]d_1 : d_2 = 3:1[/tex] --- ratio of the diameters

Required

The circumference of the back wheel

First, we calculate the diameter of the back wheel.

We have:

[tex]d_1 : d_2 = 3:1[/tex]

Substitute: [tex]d_1 = 5in[/tex]

[tex]5in: d_2 = 3 : 1[/tex]

Express as fraction

[tex]\frac{d_2}{5in} = \frac{1}{3}[/tex]

Make [tex]d_2[/tex] the subject

[tex]d_2 =5in * \frac{1}{3}[/tex]

[tex]d_2 = \frac{5}{3}\ in[/tex]

So, the circumference (C) of the back wheel is:

[tex]C =\pi d[/tex]

[tex]C = 3.14 * \frac{5}{6}\ in[/tex]

[tex]C = \frac{3.14 * 5}{6}\ in[/tex]

[tex]C = \frac{15.7}{6}\ in[/tex]

[tex]C = 2.62\ in[/tex]

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:

(x+1)(2x+5)

Step-by-step explanation:

Answer:

A is correct because there are only 2 sides to flip to, giving it a probability of 0.50, or 1/2 that they will lands heads up.

Answer:

I would go with D

Step-by-step explanation:

Because there are 4 possibilities.

1) they both land heads up

2) they both land tails up

3) one lands heads up and the other tails up

4) one lands tails up and the other heads up

Hope this helps!

Answer:

(y - 8)

Step-by-step explanation:

If you factor the original expression, y^2 - 10y + 16, you get (y-2)(y-8) so (y-8) is the other factor. You could also test this by multiplying (y-2)(y-8) together and seeing if you get the original expression.

Answer:c) y-8

Step-by-step explanation:

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:

maybe

Step-by-step explanation:

but what help do u want?

Answer:

43°

Step-by-step explanation:

Angle B is congruent to the opposite angle.

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:

f^-1 (x)= 2×/×-1 is your answer

Answer:

2479.95

Step-by-step explanation:

i worked out that guys problem who wouldnt work it out for you.

Answer:

Assuming this is the book one the answer is rectangular prism.

Answer:

5(u - 3)

Step-by-step explanation:

5u - 15

5(u - 3)

Answer:

5 (u - 3)

Step-by-step explanation:

Answer:

(24x-18x)( -18-30)

6x-48

[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]

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:

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:

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