state if the triangles are congruent. if so, name the theorem/postulate

Answer:

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

Step-by-step explanation:

Hope I helped you

Answer:

216 degrees

Step-by-step explanation:

To convert radian measure to a degree, substitute 180 degrees in for pi.

6(180)/5=216 degrees

Therefore, your answer is 216 degrees

Step-by-step explanation:

imagine that point (-2, -5) on the coordinate grid.

in what quadrant is it ?

it is, where both x and y are negative : the bottom left (3rd) quadrant.

and this is the same quadrant for the circle and the placement of the angle of the point on the circumference to the x-axis (the basic diameter).

what signs do sine and cosine of angles in the third quadrant have ?

sine goes below the x-axis and is therefore negative.

cosine is to the left of the y-axis and is therefore negative.

that eliminates answer c (with positive sine and cosine values).

as tan(x) = sin(x)/cos(x)

and

cot(x) = cos(x)/sin(x)

both, tan and cot, must be positive (-/- = +).

that eliminates answers a and d.

but there is also a problem with the remaining answer b :

cot(x) = 1/tan(x), as the above definitions tell us.

but answer b says that they are both 5/2. and that cannot be.

so, there is no correct answer option.

therefore, let's calculate the real results, and then you need to find the right option in the original problem definition without typos.

the point again is (-2, -5). x = -2, y = -5.

the center of the circle is at the origin.

so, the radius of the circle is per Pythagoras

r = sqrt(x² + y²) = sqrt((-2)² + (-5)²) = sqrt(4 + 25) = sqrt(29)

sin(angle) = y/r = -5/sqrt(29) = -5×sqrt(29)/29

cos(angle) = x/r = -2/sqrt(29) = -2×sqrt(29)/29

tan = sin/cos = -5/sqrt(29) / -2/sqrt(29) = -5/-2 = 5/2

cot = cos/sin = -2/sqrt(29) / -5/sqrt(29) = -2/-5 = 2/5

csc(angle) = r/y = sqrt(29)/-5 = -sqrt(29)/5

sec(angle) = r/x = sqrt(29)/-2 = -sqrt(29)/2

again, except for the error in answer b about cot, it would all point to answer b.

Answer:

$ 8157

Step-by-step explanation:

7500 e^.042(2)   =  8157.22  ~ 8157

Answer:

The total surface area of the given prism is 152 square centimeters.

Explanation:

I'm very brainly.

Answer: its 152 squared cm

Step-by-step explanation:

i just used a app to answer

Answer:

the answer to the question is D

Answer:

The answer is actually B

Step-by-step explanation:

the top layer is 5 x 5 x 2

the bottom layer is 5 x 2 x 10

5 x 5 = 25 and 25 x 2 = 50

5 x 2 = 10 and 10 x 10 = 100

100 + 50 = 150

Answer:

(3x + 18) + 93 = 180

23 + X

Step-by-step explanation:

(3x + 18) + 93 = 180, its supplymentery

180 - 93 = 87

87 - 18 = 69

3x = 69

69/3 = 23

23 = X

Answer:

Step-by-step explanation:

Remark

You have to assume nothing you should have to assume. You have to assume that 93 degrees on 3x + 18 sit on the same straight line. If it just looks that way, you are on shaky ground. You must be told. It's a good thing to keep in mind. Likely you'll get more questions like this. Just be aware you should not have to assume anything to make the problem work.

If the two angles both have one leg on what is marked as a straight line, then the sum of the two angles must = 180

Solution

The first one is not true. 3x + 18 is smaller than 90 degrees because 93 is more than 90 degrees. If A is true then the line is bent a bit.

B is not true. We just found one equation that doesn't work.

C is not true either. The result of trying to solve C will make x minus because 93>90 and 18 when subtracted  makes 3x even more minus.

D is true

(3x + 18) + 93 = 180               Subtract 93 from both sides.

(3x + 18) + 93-93 = 180 - 93   Combine

(3x + 18) = 87                           Remove the brackets

3x + 18 = 87                             Subtract 18

3x+18-18 = 87-18                

3x = 69                                    Divide by 3

3x/3 = 69/3

Answerx = 23

E is not true because D is true.

Volume of cuboid=abc

Volume of prism :-

Same volume i.e 39 units²

If a,b,c=a,b,c

Answer:

166 1/2 or 166.5

Step-by-step explanation:

The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.

Now, we have the equation A=18*9 1/4

So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5

With this, the area is equal to 166 1/2 or 166.5

Answer:

it’s cross multiplication.

Step-by-step explanation:

I’m wondering if you had a teacher that was trying to explain this and even online I had a teacher who would explain something when nobody understood the topic.

1. 2 * 13 = 26

2. 10 * x = 10x

26 = 10x

Answer:

X=2.6

Step-by-step explanation:

This shows 'cross multiplying'

     This is a 'short cut' method of finding the common denominator of two fractions in order to 'work' with them :

2/x = 10/13     <==== common denominator is 13x  

             so multiply the L side by 13/13   and the right side by x/x to get

26/13x = 10x / 13x      Now with common denominator, you can solve.

  Equate the numerators :

26 = 10x       <====== there is your 'short cut' found by cross multiplying

x = 26/10 = 2.6

The length of arc UT in the diagram given, to the nearest tenth, is calculated as: 3.9 meters.

Length of arc = ∅/360 × 2πr

Given the following:

Radius = 1/2(VS) = 1/2(12) = 6 meters

∅ = 90 - (180 - 127) = 37°

Length of arc UT = ∅/360 × 2πr = 37/360 × 2π(6) = 3.9 meters

Learn more about the length of an arc on:

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Answer:

D

Step-by-step explanation:

16 times the # of boxes = $24.

You can solve this equation by doing 24/16=$1.5 per box

Answer:

the 24-ounce box

Step-by-step explanation:

18/2.88 = 6.25$

24/3.6 = 6.67$

Answer:

x is greater than or equal to 16.

Step-by-step explanation:

Hi! It says atleast 80 points, so your sign should be flipped over to show that x+64 needs to be ATLEAST 80. Then they asked you to solve for x. To solve for x, you subtract 64 from each side to get x is greater than or equal to 80-64, otherwise known as 16.

The inequality is [tex]x +64 \ge 80[/tex]

It solves to [tex]x \ge 16[/tex]

She needs at least 16 more points.

=========================================================

Further Explanation:

"At least 80" means "80 or more"

In other words, the lowest grade she can get is 80

x = number of points she needs

x+64 = number of points she has, after adding on the earlier 64 points

The x+64 must be 80 or larger. So the inequality to set up is [tex]x+64 \ge 80[/tex]

You had the right idea, but need to flip the inequality sign.

To solve this inequality, you subtract 64 from both sides and you should end up with [tex]x \ge 16[/tex]

This says she needs at least more 16 points to go with the 64 points she already has.

Answer:

Iris is a saleswoman whose base pay plus commissions amounted to $69,464 last year. If her base pay was $39,710 and she made $78,300 in sales last year,

what was her rate of commission?

Commissions were $29,590 against sales of $78,300

Her rate of commission was 37.79%

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Details of Graph

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I believe that's right

-6(-3+x) = 6

-3+x = 6+6

-3+x=12

-3x=12

x=12^3

x=2

The maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.

An individual retirement account (IRA) contribution is a tax-advantaged contribution that allows the taxpayer to save money for retirement.

Given the couple's adjusted gross income of $95,000 in 2017, the maximum IRA contribution is $5,500 fully tax-deductible.

IRA contributions fall into:

Thus, the maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.

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Answer:

the answer is the 3rd option!

Answer

The answer is definitely 3 :)

Answer:2a/(3b−c)

substitute a=6 b=4 c=8

(2*6)/((3*4) -8)

12/(12 -8)

12/(4)

3

Choice B

2a+b−3  when a=5 b=2

2(5) +2-3

10+2-3

12-3

9

Choice B

8ab/2bc

rearrange to make the math easier

8/2 * a/c * b/b

4 * a/c *1

4 * 3/4

rearrange to make the math easier

4/4 *3

3

Step-by-step explanation:

Answer:

791,800

Step-by-step explanation:

Answer: 791800

Step-by-step explanation:

Answer:

B'(-1,6)
C'(2,6)

Step-by-step explanation:

You just have to change the x by -2 and the y by +4 because we know that (3,4) turned to (1,8)

Hope this helped!

Answer:

How many grams of curry powder are in 1 teaspoons? 2.13 grams of curry powder fit into one teaspoon. 2 teaspoons of curry = 4.26 grams of curry.

Hope this helps...

the answer is the litter B

Answer:

B.) Graph B

Step-by-step explanation:

You can determine which is the correct graph by verifying the points on the graphs with the equation. Remember, the leftmost number in the parentheses is the "x-value" and the rightmost number is the "y-value".

Graph B has the points (0,2) and (2,6) on the line.

y = 2(0) + 2

y = 2

y = 2(2) + 2

y = 4 + 2

y = 6

As you can see, when the "x-values" are plugged into the equation, the value generated matches the "y-value" of the point. Not all the points on the other graphs are accurate according to the equation. You can prove this to yourself by following the same method as above.

Answer:

125 : 216

Step-by-step explanation:

Let the volumes of the spheres be V₁ and V₂ respectively.

Volume (Sphere radius = 5) :

Volume (Sphere radius = 6) :

Taking the ratio of V₁ and V₂ :

Given ratio: [tex](\text{Radius of Sphere}_1 : \text{Radius of Sphere}_2) = (5 :6)[/tex]

Step-1) Multiply both sides of the ratio by x:

    [tex]\implies (\text{Radius of Sphere}_1 : \text{Radius of Sphere}_2) = (5x :6x)[/tex]

    [tex]\implies \text{Radius of Sphere}_1 = 5x;\ \text{Radius of Sphere}_2 = 6x[/tex]

Step-2) Substitute the radiuses of each sphere into the "Volume formula"

               Volume of sphere₁                                Volume of sphere₂      

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi r^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi r^{3}[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (5x)^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (6x)^{3}[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (5x)(5x)(5x) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (6x)(6x)(6x)[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (125x^{3} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4 \pi (2x)(6x)(6x)[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{500x^{3} }{3} \pi \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 288x^{3} \pi[/tex]

Step-3) Plug the volume of both spheres in ratio form:

The ratio for the volumes of the two spheres must be in the respective place of the ratio for the radiuses of the two similar spheres. Therefore,

Ratio form: [tex]\underline{(\small\text{Volume of sphere}_1 : \text{Volume of sphere}_2)}[/tex]

    [tex]\implies \dfrac{500x^{3} }{3} \pi: 288x^{3} \pi[/tex]

Step-4) Simplify both sides of the ratio:

    [tex]\implies \dfrac{500x^{3} }{3}: 288x^{3}[/tex]

    [tex]\implies \dfrac{500 }{3}: 288[/tex]

    [tex]\implies \dfrac{500 }{3}} \div{\dfrac{288}{1} } \implies \dfrac{500}{3} \times \dfrac{1}{288} \implies \dfrac{500}{864} \implies \boxed{\dfrac{125}{216}}[/tex]

Therefore, the ratio for the volumes of two similar spheres is 125 : 216.

Answer:

x = 35,000

y = 30,000

Step-by-step explanation:

5x + 2y = 235,000

2x + 3y = 160,000

Have a nice day! :)

Answer:

m=5

Step-by-step explanation:

If the triangles are similar, the ratios of the side lengths are the same

AB        AC  

-----  = -------

QR         QS

6         3

----  = -----

10        m

Using cross products

6m = 3*10

6m = 30

Divide each side by 6

6m/6 = 30/6

m = 5

Answer:

Its like how much you multiply the original shape by, to the new one.

For example, if your new shape is double the size of the original shape, then the scale factor is 2, because you would multiply the original by 2, to get the size of the new.

However, if your new shape is half the size, then the scale factor is 1/2, as you multiply the original by half to get the new shape.

Hope this cleared things up, lmk down below if you any further questions.