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2 years ago

I don’t understand this. In class we have been doing these problems with only one transversal, not two.

Mathematics

1 answer:

Verizon [17]2 years ago

3 0

Answer: Yes it is possible. Angle DCF is also 50 degrees

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Check out the image attachment below. On that image, I've marked that angle EBA is congruent to angle BAC by the alternate interior angle theorem. Those angles are shown in red. Furthermore, angle BAC is congruent to DCF (corresponding angles) using a green marker. Finally, using the transitive theorem, you can connect the statements in a chain to say that angle EBA is congruent to angle DCF, which is why angle DCF is 50 degrees as well.

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Angle a and angle b are complementary angles. The measure of ∠a is 42°.

Citrus2011 [14]

My work to your question

8 0

2 years ago

⅜ of the animals at the zoo equals to 600. 40% of all the animals at the

raketka [301]

Answer:

960

Step-by-step explanation:

3/8*total number of animals = 600

total number of animals = 8/3 * 600 = 1600

number of animals fed = 40/100 * 1600 = 640

animals still to be fed = 1600 - 640 = 960

5 0

2 years ago

The sum of four consecutive odd number is 8o. Find the number

yarga [219]

Answer:

The sum of 4 consecutive odd number is 80

Let X be the first of these numbers

Then the next odd number is X+2

The third is X+4The fourth is X+6

All of these add up to 80

(X) + (X+2) + (X+4) + (X+6) = 80

Using the commutative and associative laws, let's transform this equation into

(X + X + X + X) + (2 + 4 + 6) = 804X + 12 = 80

Subtract 12 from both sides of the equation gives4X = 68

Divide both sides by 4 gives

X = 17

Going back to the original question:What are the 4 consecutive odd numbers: 17, 19, 21, 23Checking our answer:17 + 19 + 21 + 23 = 80 Correct!

5 0

2 years ago

A game shop sells marbles in clear plastic cylinders. Four marbles fit across the diameter of the cylinder and 10 marbles fit fr

slega [8]

To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2πr^2.

Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.

5 0

2 years ago

18. Which is more, five-eighths of a dollar or four-ninths of a dollar?

wel

Answer:

five-eighths of a dollar is more than four-ninths of a dollar

Step-by-step explanation:

If you convert the fractions into decimals:

5/8 = 0.625

4/9 = 0.44444444444...

0.625 is closer to 1 than 0.44444444444...

Hope that helped!

4 0

2 years ago