MATHEMATICS HIGH SCHOOL

Lines l and m are intersected by transversal t and l || m. Select all of the angles that are congruent to 25

Answers

Answer 1

Answer:

A. <1

D. <4

F. <8

Step-by-step explanation:

Given that lines l and m that are crossed by transversal t, the following angles are congruent to <5:

<8 = <5 (vertical angles)

<1 = <5 (corresponding angles)

<4 = <5 (alternate interior angles)

Therefore, the angles that are congruent to <5 are labelled <8, <1, and <4.

Answer 2

Answer:

Final answer:

The angles congruent to a given angle in a set of parallel lines intersected by a transversal are the corresponding angle, the alternate interior angle, and the alternate exterior angle on the other side of the transversal.

Explanation:

In geometry, when two lines are parallel (l || m) and intersected by a transversal (t), the angles that are formed have certain relationships. Here, if one angle measures 25 degrees, then the angles congruent (equal in measure) to this angle are: the corresponding angle on the other side of the transversal, the alternate interior angle on the other side of the transversal, and the alternate exterior angle on the other side of the transversal. This is because parallel lines cut by a transversal create corresponding angles, alternate interior angles, and alternate exterior angles that are all congruent.

Learn more about Parallel Lines

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Find the area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13.

Answers

The area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13 is 38.105 squared units and 24 units respectively.

What is area and perimeter of the isosceles trapezoid?

The area of the isosceles trapezoid is the space occupied by it. It can be find out using the following formula,

$A=(a+b)/(2)* h$

Permiter of the isosceles trapezoid is the total length of the boundary by which it is enclosed. It can given as,

$P=a+b+2c$

Here (a,b) are the base side (c) is the side of leg and (h) is the height.

The image of the given isosceles trapezoid is attached below. Let the value of leg is x units. Thus using right angle property the cos theta is,

$\cos60=(2)/(x)\nx=1$

And the height of this trapezoid is,

$\tan60(h)/(2)\nh=3.46$

Thus the area of the solid is,

$A=(9+13)/(2)* 3.46\nA=38.105\rm\; units^2$

The perimeter of the solid is,

$P=9+13+2*1\nP=24\rm\; units$

Thus, the area and perimeter of an isosceles trapezoid with a 60° base angles and bases 9 and 13 is 38.105 squared units and 24 units respectively.

Learn more about the area of the isosceles trapezoid here;

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The trapezoid has two right triangles each with one side of length (13-9)2 = 4/2 = 2.

The other side of each right triangle is such that tan 60° = Heigth / 2

Then height = 2*tan60°.

The area of the trapezoid is height * (base 1 + base 2)/2

Then area = 2*tan (60°) * (13+9)/2 = 38.11

Anthony, who is 2 meters tall, is standing on top of a skyscraper that is 1 km tall. How many meters is it from the top of Anthony's head to the bottom of the skyscraper?

Answers

1002 meters. 1km= 1000 meters then add 2 meters. Hope this helped.

Mr. López teaches his classes how to make maraca instruments by filling plastic eggshells with dried beans Mr. López uses the equation p= 0.75n to find the number of pounds, p, of beans needed for “n” classes.What is the constant of proportionality between p and n?

Pleaseee I need it
Thank you

Answers

The constant of proportionality between p (pounds of beans) and n (number of classes) in the equation p = 0.75n is 0.75. In this equation, 0.75 represents the ratio of the number of pounds of beans (p) to the number of classes (n). It tells you that for each class, 0.75 pounds of beans are needed, making it the constant of proportionality.

If Jennifer made a fruit juice using red and green grapes. Thirty percent of the grapes are green.If she used a total of 60 grapes , how many red grapes should she use?

Answers

$p\%=(p)/(100)\n\n30\%=(30)/(100)=0.30=0.3\n\n30\%\ of\ 60=0.3\cdot60=18\leftarrow\ number\ of\ green\ grapes\n\n60-18=\boxed{42}\leftarrow ANSWER$

Find the simplified form of the expression. Give your answer in scientific notation.(4x10^10)(9x10^-5)

Answers

It's answer will be 36x10^5As we have(4x10^10)(9x10^-5)All terms of this expression are being multipliedSo we will solve it in two parts, simple terms and terms having powers(4x9)(10^10x10^-5)As we know when same terms having some powers are multiplied, their powers are added(36)(10^(10-5))(36)(10^5)So it will become36x10^5

Answer:

The answer in C

Step-by-step explanation:

If it takes 3 days for 10 workers to finish building one house, how many days will it take 15 workers to finish four houses?

Answers

-- It takes 10 workers 3 days to build 1 house.
so
-- It takes 10 workers 1 day to build 1/3 of a house.
so
-- It takes 1 worker 1 day to build 1/30 of a house.

You got 15 workers and you need 4 houses ?

Well, as we just calculated . . .

-- It takes 1 worker 1 day to build 1/30 of a house.
so
-- It takes 15 workers 1 day to build 15/30 = 1/2 of a house.
so
-- It takes 15 workers 2 days to build 1 whole house.
so
-- It takes 15 workers 8 days to build 4 houses.

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