Find the value of x.

Answer:

x = 12

Step-by-step explanation:

By the property of exterior angles of a triangle,

"Exterior angle of a triangle is equal to the sum of opposite angles of the triangle"

Since, ∠HRQ is the exterior angle of ΔPRQ and ∠RPQ and ∠RQP are the opposite angles.

m∠HRQ = m∠RPQ + m∠RQP

(8 + 6x)° = 30° + (4x + 2)°

6x - 4x = 30 + 2 - 8

2x = 24

x = 12

Therefore, value of x is 12.

Answer:

x = 12

Step-by-step explanation:

Hope this helps

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer:

8 yogurts or it will be 1 yogurt

Step-by-step explanation:

Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...

Answer:

9.  [tex] \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] \frac{1}{81} [/tex]

Step-by-step explanation:

9. [tex] x^{-4} [/tex]

Evaluate when x = 10.

Substitute x = 10 into the expression

[tex] 10^{-4} [/tex]

Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])

Thus:

[tex] = \frac{1}{10^4} [/tex]

[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] 2a^{-1}b^{-3} [/tex]

Evaluate when a = 6 and b = 3

Substitute

[tex] (2*6^{-1})(3^{-3}) [/tex]

Apply the negative exponent rule

[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]

[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]

[tex] \frac{2*1}{6*27} [/tex]

[tex] \frac{1}{81} [/tex]

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

plugging the value of x as 10, we get

[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]

[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]

[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]

[tex] \longrightarrow\dfrac{1}{10000} [/tex]

[tex]\longrightarrow0.0001[/tex]

plugging the value of

[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]

[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]

[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]

[tex]\longrightarrow \dfrac{2}{162} [/tex]

[tex]\longrightarrow \dfrac{1}{81} [/tex]

_____________________________

[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

No possible triangles

Step-by-step explanation:

Deltamath

Answer:

2

Step-by-step explanation:

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Section 2

Step-by-step explanation:

I will pick the section with the largest angle.

Let's determine the size of the angle of each section.

Given:

m∠ABD = 2x+3,

m∠CBD = 4x+7,

m∠ABC = 40°

Thus:

m<ABD + m<CBD = m<ABC (angle addition postulate)

Substitute

2x + 3 + 4x + 7 = 40

Add like terms

6x + 10 = 40

6x + 10 - 10 = 40 - 10

6x = 30

6x/6 = 30/6

x = 5

✔️m∠ABD = 2x+3

Plug in the value of x

m<ABD = 2(5) + 3 = 13° (section 1)

✔️m∠CBD = 4x+7

m∠CBD = 4(5) + 7

m∠CBD = 27° (section 2)

✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.

Answer:

Not all lines have an x- and y-intercept. This line does not cross the x-axis. Similarly, the line x=2 is a vertical line which does not cross the y-axis.

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I am assuming you are talking about linear functions. When it comes to them, most of them have a y-intercept, and if they do, they are counted as functions. Linear functions must have some sort of slope, but because there is a special line that does not have a slope, then it is not a function. And since it does not have a slope, it also does not hit the y-axis. Usually, the equation is set to equal y, for example:

y = 1

But, a line that does not have a slope is equal to x, like:

x = 1

x = 1 is a completely vertical line that is parallel to the y-axis, which means it does not have a y-intercept.

To experiment this, you can try it in Desmos, which is a secure graphing website. I hope this helps you!

Answer: I think it would be 1/2, 2/2 or 2/5. If i'm wrong then i'm sorry.

Answer:

Step-by-step explanation:

These equations correspond to two parallel lines; the lines never intersect, so there is NO solution

Answer:

x=33/5 and y=31/5

Answer:

x=33/5 = 6.6

y=31/5 = 6.2

Step-by-step explanation:

4x+3y=45

2x+4y=38

​In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.

4x+3y=45,2x+4y=38

To make 4x and 2x equal, multiply all terms on each side of the first equation by 2 and all terms on each side of the second by 4.

2×4x+2×3y=2×45,4×2x+4×4y=4×38

Simplify.

8x+6y=90,8x+16y=152

Subtract 8x+16y=152 from 8x+6y=90 by subtracting like terms on each side of the equal sign.

8x−8x+6y−16y=90−152

Add 8x to −8x. Terms 8x and −8x cancel out, leaving an equation with only one variable that can be solved.

6y−16y=90−152

Add 6y to −16y.

−10y=90−152

Add 90 to −152.

−10y=−62

Divide both sides by −10.

y=31/5

Substitute 31/5 for y in 2x+4y=38. Because the resulting equation contains only one variable, you can solve for x directly.

2x+4×(31/5)=38

Multiply 4 times 31/5.

2x+125/5=38

Subtract 124/5 from both sides of the equation.

2x=66/5

Divide both sides by 2.

x=33/5,y=31/5

Answer:

wheres the diagram???

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

The answer would be 792

Step-by-step explanation:

Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.

Answer:

-6

Step-by-step explanation:

4(2x+12)=0

8x+48=0

8x=-48

x=-6

Answer:

C.

Step-by-step explanation:

Hope this helps! have a great day!

The mean number of points scored by given players is 8. The correct answer would be an option (B).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

The formula for the mean of a given set of data is as follows:

Mean = Sum of Observations/Total number of observations

Σx = 4 + 6 + 10 + 9 + 11

Σx = 40

Here n = 5

⇒ Mean = Σx/n

⇒ Mean = 40/5

⇒ Mean = 8

Thus, the mean number of points scored by given players is 8.

Learn more about the Arithmetic means here:

brainly.com/question/13000783

#SPJ2

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer:

I think it is 2x-3y=-12 not sure but try it

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices [tex](x_1,y_1),(x_2,y_2),(x_3,y_3)[/tex] is given by the determinant of the following matrix:

[tex]A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|[/tex]

In this question:

Vertices (1,0) (5,0) (3,4). So

[tex]A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|[/tex]

[tex]A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)[/tex]

[tex]A = \pm 0.5*(20-4)[/tex]

[tex]A = \pm 0.5*16 = 8[/tex]

The area of the triangle is of 8 units of area.

Answer:

letter A because it's representing 100% plus some so it is increasing.

Answer:

The 95% confidence interval for the population mean mileage is

(27.917, 29.593)

The 98% confidence interval for the population mean mileage

(27.737, 29.762)

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 64

Given that the mean of sample x⁻ = 28.75miles

Given that the standard deviation of the sample (S) = 3.4 miles

Degrees of freedom = n-1 = 64-1 =63

t₀.₀₅ = 1.9983

Step(ii):-

95% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 0.845 , 28.75 + 0.845)

(27.917 , 29.593)

Step(iii):-

98% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 1.01252 , 28.75 + 1.01252)

(27.737 , 29.762)

Final answer:-

98% confidence interval for the population mean mileage is

(27.737 , 29.762)

A 3-D figure is a shape that its three surfaces can be observed at the same time.  Therefore, required answer to the given question is: A. Two regular octagons and eight congruent rectangles.

When the length, width and height of a given shape can be observed at the same time, then its is said to be in a 3-D. However, polygons are shapes which has 3 or mores sides. Examples are: trigon, hexagon, octagon etc.

Thus, since the 3-D figure required in the question has two bases in the shape of regular octagon, which should have 8 sides connected by congruent polygons of length greater than their width.

This implies that the sides of the figure must be made up of eight congruent rectangles, because the 3-D figure has eight regular sides (which would be the width of the rectangles). Then, the height of the figure would be the length of the rectangles.

So, the correct option to the given question is A. Two regular octagons and eight congruent rectangles.

A sketch is attached to this answer for more clarifications.

For reference: https://brainly.com/question/12504553

Answer:

Two regular octagons and eight congruent rectangles

Step-by-step explanation:

Based on the picture in my test, I am positive the description and the picture are of the same thing.  In the picture, I can see eight congruent rectangles and two octagons.  I also got this right on my test.

picture of object:

Answer:

446.75 y^2

Step-by-step explanation:

First, Kelly found the area of a circle, not half a circle, which is on top of the figure. She also shouldn't have subtracted the area of the circle by the airea of the base, as she is trying to find the area of the ENTIRE figure.

.5 TIMES pi times 9^2 = 122.75

the second part, calculating the square base is correct..

122.75+324 = 446.75 y^2

Answer:

Neither

Step-by-step explanation:

The variable T (weeks until getting food allergic student) follows Geometric Distribution

Given : 25 students & different student chosen to bring snack each week, 8% students have food allergies

To find : T ie number of weeks until student with food allergy is selected, follows which statistical distribution

In this case, we need to find number of weeks trials, needed to achieve a success - ie a student with food allergy.

Hence this follows a Geometric Distribution.

To learn more, refer https://brainly.com/question/9362207?referrer=searchResults

Answer:

c

Step-by-step explanation:

Answer:

C) Corresponding Angles

Step-by-step explanation:

A corresponding angle is when two angles are occupying the same intersection. A vertical angle is B & C, and A & D.

Hope this helps!