How do you know the that two triangles are similar?

Answer:

Step-by-step explanation:

We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is

n + q = 53

The VALUE equation relates how much each coin is worth to the total amount of money it equals:

.05n + .25q = 5.65.

Go back to the first equation and solve it for either n or q. I solved it for n:

n = 53 - q

Plug this into the second equation in place of n now to get:

.05(53 - q) + .25q = 5.65 and

2.65- .05q + .25q = 5.65 and

.20q = 3 so

q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are

n + 15 = 53 nickels and

n = 38 nickels.

Answer:

Original angle = 122*

Supplementary angle = 58*

Step-by-step explanation:

A supplementary angle is one of two angles that make up 180*

If one angle is 30*, its supplementary angle is 150*. 30 + 150 = 180.

So in this case we have two angles, the original and the supplementary angle. The original angle is 64* more than the supplementary angle. The key word is MORE.

The formula to figure it out would look like this:  x + (x + 64) = 180

x is the supplementary angle

x + 64 is the original angle (64 MORE than its supplementary angle)

180 is the total measure of the two angles because they are supplementary and we know that supplementary angles always equals 180* when added together.

Take the formula and do a little algebra.

x + (x + 64) = 180

Subtract 64 from both sides

x + x = 116

Combine the x's

2x = 116

Divide both side by 2

x = 58

Remeber we know that the original angle is 64 more than the supplementary angle, so we'll add the 64 to the value of x and we get 122.

x + 64 = 122

Check our work:

x + (x + 64) = 180

58 + 58 + 64 = 180

Given :

⠀

To Find :

⠀

Solution :

Now,

⠀

According to the Question :

⠀

[tex]\longrightarrow\qquad \sf{{x + (x + 64) {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x + x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x + 64 {}^{ \circ} = {180}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {180}^{ \circ} - 64 {}^{ \circ}}}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{2x = {116}^{ \circ} }}[/tex]

⠀

[tex]\longrightarrow\qquad \sf{{x = \dfrac{{116}^{ \circ}}{2} }}[/tex]

⠀

[tex]\longrightarrow\qquad \mathfrak{\pmb{{x = {58}^{ \circ} }}}[/tex]

⠀

Therefore,

⠀

Henceforth ,

Making 'b' the subject of formula gives b = a² - 6

It is important to note that the subject of formula is described as a variable that is made up to stand alone in an equation.

The subject of formula is the variable that is worked out on on side of the equation sign.

From the information given, we have the equation;

a = [tex]\sqrt{(b + 6)}[/tex]

To make 'b' the subject of formula, we take the following steps;

Find the square of both sides, we get;

a² = [tex](\sqrt{(b + 6)} ^2[/tex]

Cancel out the square, we get;

b + 6 = a²

collect the other terms on one end of the equation, we have;

b = a² - 6

Hence, the equation is b = a² - 6

Learn more about subject of formula here:

https://brainly.com/question/10643782

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

57.6

Answer:

57.6

Step-by-step explanation:

You multiply 72 by .8 because you have to change the percent into a decimal place to multiply it by. 0.8 is 80 hundredths and fractions are numbers out of 100. I hope I could help you :)

Answer:

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Area of Plane Shapes-

1. Triangle Area = ½ × b × h b = base h = vertical height

2. Square Area = a2 a = length of side

Step-by-step explanation:

The surface area of a solid object is a measure of the total area that the surface of the object occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more involved than the definition of arc length of one-dimensional curves, or of the surface area for polyhedra (i.e., objects with flat polygonal faces), for which the surface area is the sum of the areas of its faces. Smooth surfaces, such as a sphere, are assigned surface area using their representation as parametric surfaces. This definition of surface area is based on methods of infinitesimal calculus and involves partial derivatives and double integration. Surface area is the total amount of space that all of the surfaces of an object take up. It is the sum of the area of all the surfaces of that object.[1] Finding the surface area of a three-dimensional shape is moderately easy as long as you know the correct formula. Each shape has its own separate formula, so you'll first need to identify the shape you’re working with. Memorizing the surface area formula for various objects can make calculations easier in the future. Here are a few of the most common shapes you might encounter.

1

Define the formula for surface area of a cube.

2

Measure the length of one side.

3

Square your measurement for a.

4

Multiply this product by six.

Answer:

95

Step-by-step explanation:

The sum of any straight angle is 180 (Therom)

180 - (50 +35) =95

Answer:

x  minus four

Step-by-step explanation:

Answer:

answer: 361.88

Hope that helps!

Answer:

B. AC = 22, BC = 22, AB = 44

C. AC = 30, BC = 30, AB = 60

Step-by-step explanation:

B.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore AC = BC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 2x - 6 = x + 8[/tex]

[tex] \therefore 2x - x= 6 + 8[/tex]

[tex] \therefore x= 14[/tex]

[tex] AC = 2x-6=2(14)-6=28-6= 22[/tex]

[tex] BC= x + 8=14 + 8= 22[/tex]

AB = AC + BC = 22 + 22 = 44

C.

[tex] radius \: \overline {OR} \perp chord \: \overline {AB} [/tex] at C. (given)

[tex] \therefore BC = AC[/tex] (perpendicular dropped from the center of the circle to the chord bisects the chord)

[tex] \therefore 7x-5=4x+10 [/tex]

[tex] \therefore 7x - 4x= 5 + 10[/tex]

[tex] \therefore 3x= 15[/tex]

[tex] \therefore x= \frac{15}{3}[/tex]

[tex] \therefore x= 5[/tex]

[tex] AC = 4x+10=4(5)+10=20+10= 30[/tex]

[tex] BC= 7x - 5=7(5)-5=35-5= 30[/tex]

AB = AC + BC = 30 + 30 = 60

Answer: [tex]5^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle DIE=(18x-2)^{\circ}\\\angle DIH=15^{\circ}\\\angle FIG=103^{\circ}[/tex]

from the figure

[tex]\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}[/tex]

Answer:

13m

Step-by-step explanation:

Answer: 18°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, the value will equal 90°.

In this question, we've to add both angles and equate them to 90°. This will be:

(2x - 4) + (5x + 17) = 90

2x - 4 + 5x + 17 = 90

Collect like terms

2x + 5x = 90 + 4 - 17

7x = 77

x = 77/7

x = 11

Angle A will be:

= (2x-4)

= 2(11) - 4

= 22 - 4

= 18°

Answer:

(2n)*(n-1)

Step-by-step explanation:

Answer:

r = 8.5 inches

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

17 pi = 2 * pi *r

Divide each side by 2 pi

17 pi / ( 2pi) = 2 * pi r/ ( 2 pi)

17/2 = r

8.5 = r

The answer is 8.5 inches.

Answer:

x + y > 15

10x + 5y < 100

we will put it in terms of y

y > 15 - x

and

5y < 100 - 10x

y < 20 - 2x

-TheUnknownScientist

Answer:

0.8

Step-by-step explanation:

5 x 3 = 8 (Add the "0." at the end) That's all, hope it helped!

Answer:

The answer is 0.8. Think of it like a normal number.

Answer:

[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]

0 (zero)

Step-by-step explanation:

The 8-sided die has numbers less than 9. So, they can never be greater than 9.

Answer:

D.

Step-by-step explanation:

You pass 3x to the other side so you get 4y = -16 - 3x

to clear y you divide both sides by 4

y = (-16-3x )/ 4

you can simplify this so it so it gives us

y = -4 - 3/4x

Answer:

12.9x-9

Step-by-step explanation:

add 5.3x and 7.6x

Answer:

12.9x-9

Step-by-step explanation:

First you have to combine the like terms which are 5.3x + 7.6x= 12.9x. Then you just rewrite the equation 12.9x-9. You just leave the 9 by it self because there's no other like terms.

More examples -

5.3x+−9+7.6x

Combine Like Terms:

=5.3x+−9+7.6x

=(5.3x+7.6x)+(−9)

=12.9x+−

Answer:

25

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days

Answer:

i would say it is either 30 or 35

Step-by-step explanation:

7/2=3.5

so you would round it down to 3 or keep it that

and 4.75+5.25=10

3(10)=30 and 3.5(10)=35

If it's every two days.

Answer:

7234.56 km³

Step-by-step explanation:

Volume = 4/3(πr³)

Volume = 4/3(3.14 * 1728)

Volume = 4/3(5425.92)

Volume = 7234.56

Units = km³

7234.56 km³

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

transformation : f(x) --> g(x) = -2x + 4

Answer:

The answer will be A k>-38

Answer:

1.105°

2.35°

3.35,°

4.50°

Step-by-step explanation:

ito po yung answer ko sa assignment you sa Maka tulong