Use the numbered angles in the diagram to answer the question.
Which angles are congruent? How do you know?

Answer:

Option 2: AAS is the right answer

Step-by-step explanation:

In the diagram, two triangles are given with two angle measurements and one non-included side.

It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.

AAS Postulate:

"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."

Hence,

Option 2: AAS is the right answer

Answer:

a) 12cm

b) 360cm²

c) 2160cm cubed

Step-by-step explanation:

a)

you would use Pythagoras theorem  for A

so half of 18 is 9

15² - 9² = 144

the square root of 144 is 12

the height is 12cm

b)

18 x 20 = 360cm²

c)

csa x L

csa = b x h divide by 2

18 x 12 = 216cm²/2 = 108cm²

108xm² x 20cm = 2160cm cubed

Answer:

26 2/3 * [tex]\pi[/tex] or about 74.31 cubic inches.

Step-by-step explanation:

Answer:

u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Step-by-step explanation:

Given;

v² = u²+2as

To make u the subject of the formula, the following steps are taken;

v² = u²+2as

v²  - 2as = u²

take the square - root of both sides of the equation;

[tex]\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }[/tex]

Thus, u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Answer:34.5

Step-by-step explanation:

Difference = subtract

The difference between 61.8 and 27.3 is 34.50.

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Two numbers 61.8 and 27.3

Difference between these numbers = 61.8 - 27.3

Difference between these numbers = 34.50

Therefore, 34.50 is the difference between 61.8 and 27.3.

Learn more about Mathematical operations here:

https://brainly.com/question/20628271

#SPJ

Answer:

y + 1 = 9 (x + 5)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

replace the y1 with the y point, the x with the x point, and m with the slope

y - (-1) = 9 (x - (-5) )

now simplify

y + 1 = 9 (x + 5)

if you need slope intercept, just simplify more

distribute the 9 to the x and 5

y + 1 = 9x + 45

and subtract the 1 from both sides

y = 9x + 44

Answer:

1 and two-thirds yards

Step-by-step explanation:

5⅓ = 3⅔ + y. Subtract 3⅔ from both sides.

It may be useful to use improper fractions.

16/3 – 11/3 = y

5/3 = y

5/3 is equivalent to 1⅔

Answer:

First one

Step-by-step explanation:

The amount to tax that the executive pays is 87,500 GBP.

Tax is a compulsory payment that is levied on the income or one the sales of certain goods and services. Tax is imposed by the government to achieve various macroeconomic objectives. Taxes reduces the income of an individual.

When tax is levied on the income of an individual, it is known as an income tax. There are various types of taxes, one of them includes progressive tax. Progressive tax levies a higher tax percentage on those that earn an higher amount of money. Thus, the tax rate increases as income increases.

The executive earns 175,000 GBP gross. 175,000 GBP is greater than 150,000 GBP, thus, he would be taxed at a rate of 50%. In order to determine the tax the executive would pay, multiply the income of the executive by the tax rate.

Multiplication is the mathematical operation that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.

Tax that would be paid = tax rate x gross income

175,000 x 0.5 =87,500 GBP

To learn more about taxes, please check: https://brainly.com/question/25311567

#SPJ1

Answer:

vanilla to chocolate is 2:1

and chocolate to strawberry is 3:1

Step-by-step explanation:

Now I am hungry.(magnum is my favorite ice cream)

Answer:$108.94

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Volume is space inside something, like water in a fish tank

Answer:

the number of toppings

Step-by-step explanation:

cause the pizza the same but different amount of toppings

Step-by-step explanation:

Don and Ana are driving to theit vacation.

Answer:

Yes.  We can conclude that the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Step-by-step explanation:

Number of employed persons in the sample = 700

Number of unemployed person in the sample = 300

Number of employed persons who have registered to vote (p1) = 500

Number of unemployed persons who have registered to vote (p2) = 200

Proportion of registered voters who are employed = 500/700 = 71.4%

Proportion of registered voters who are unemployed = 200/700 = 28.6%

This implies that the percentage of registered voters who are employed is more than the percentage of registered voters who are employed.  71.4% (500/700) of the employed registered to vote as against 66.7% (200/300) of the unemployed who registered to vote.

We can conclude that of the 700 registered voters in the sample, 71.4% (500/700) are employed while 28.6% (200/700) are unemployed.

Therefore, the percentage of the employed workers (p1), who have registered to vote, exceeds the percentage of unemployed workers (p2), who have registered to vote.

Answer:

a

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The radius is part of a 3-4-5 special right triangle.

The diameter is two times the radius, so 4*2=

I hope this helps! :)

Answer:

y = -6x + 6

Step-by-step explanation:

Unless you are asking for solving the linear equation itself, the answer would be y = -6x + 6.

If you were trying to set up systems and then solve for actual solutions, you would need two equations. I will go with solving the linear equation, but if you meant solving systems, the answer cannot be found.

Answer: 132.5 or 85 degree

Step-by-step explanation:

Answer:

55

Explanation, when 2 angles are bisected, they are even

(Angle DBF is 35 degrees with that logic)

All triangles add up to 180 degrees

(Angle is 55 degrees because of that)

I might be incorrect, but I think its 55

Answer:

90900909909090909334866784877

or 9.0900909909090909334866784877 × 10²⁸

Step-by-step explanation:

Answer:

63diveded by 6

63/6

twenty one divided two is correct ans

21/2

Answer:

OK i will try to help if u can tell me what the complement of rolling a 3 on the die is

Step-by-step explanation:

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

The coordinates of the center will be - O(3, 5) and the radius will be - 2 units

We have the following equation of a circle -

[tex]x^{2} +y^{2} -6x-10y+30=0[/tex]

We have to find the radius and center coordinates of this circle.

A Circle is a curve traced out by a point that moves in a plane such that its distance from a given point is constant.

According to the question, we have the equation of circle -

[tex]x^{2} +y^{2} -6x-10y+30=0[/tex]

[tex]x^{2} +y^{2} -6x-10y=-30\\x^{2} -6x +y^{2} -10y = -30\\x^{2} -6x +(\frac{-6}{2} )^{2} +y^{2} -10y +(\frac{-10}{2} )^{2} = -30+(\frac{-6}{2} )^{2} +(\frac{-10}{2} )^{2}\\\\x^{2}-6x +9+y^{2} -10y+25 = -30 +9+25\\(x-3)^{2} + (y-5)^{2} =4[/tex]

Compare the above equation with the general equation of circle -

[tex](x-a)^{2} +(y-b)^{2} =r^{2}[/tex]

We get -

the coordinates of center will be - O(3, 5) and the radius will be = [tex]\sqrt{4}[/tex] = 2 units.

Hence, the coordinates of the center will be - O(3, 5) and the radius will be - 2 units

To solve more questions on Circles, visit the link below -

https://brainly.com/question/10228880

#SPJ2

Answer:

They are similiar

But which options of answers do you have?

Answer:

z=12

Step-by-step explanation:

z+15=27

move constant

z=27-15

z=12

Answer:

The answer is D

Step-by-step explanation:

And u lied you said 18 points when this question is up for 9 points