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3 years ago

Given to

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

Answer:

Step-by-step explanation:

Given:

$\frac{AD}{DC}=\frac{BE}{EC}$

To Prove:

AB║DE

Solution:

Since, corresponding sides of ΔACB and ΔDCE are proportional,

$\frac{AD}{DC}=\frac{BE}{EC}$

Both the triangles will be similar.

ΔACB ~ ΔDCE [By SAS property of similarity]

Therefore, ∠1 ≅ 2 [CPCTC]

Since, ∠1 and ∠2 are the corresponding angles

Therefore, AB║DE [Converse of corresponding angles theorem]

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A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of gasoline to the tank. How many gallons of gas does

krek1111 [17]

Answer:

35 1/12 gallons of gasoline

Step-by-step explanation:

so what you're going to do is take both of the fractions (3/4 and 1/3) and convert them into two fractions with the same denominator so you can add them easily. the closest number that you can convert them to would be a denominator of 12, so we would turn 3/4 into its equivalent of 9/12 and 1/3 would now be 4/12. now we add them and get 13/12, which is an improper fraction, so we would change that to 1 and 1/12. and finally, we add 1 1/12 + 1 + 33 and we would get 35 and 1/12 as our final answer :)

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3 years ago

Which line of symmetry for the parabola (x-1)^2= 4(y-1)^?

jonny [76]

This is a vertical parabola, because (x-1)².
Vertex of the parabola (1,1).
So line symmetry is x=1.

4 0

3 years ago

Help please

ddd [48]

Answer:

B. When the peak temperature is 40°C, 72 units of electricity are used on average.

Step-by-step explanation:

We see the relationship is closer to linear in the interval 30 to 40

Approximate points:

(30, 34) and (34, 54)

The slope of the line:

m = (54 - 34)/(34- 30) = 20/4 = 5

The line is:

y - 34 = 5(x - 30)
y = 5x - 116

At x = 40, the value of y would be:

y = 5*40 - 116 = 84

The closet option is B

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3 years ago

A car factory made 30 cars with a sunroof and 9 cars without a sunroof. What is the ratio of

AfilCa [17]

Answer:

30:9

Step-by-step explanation:

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3 years ago

***Please Help As Soon As Possible***

Nastasia [14]

Hey, ok so 1) is A
2) is C
3) is B
4) is B
5) is A
6) is C
7) is B
8) is B
9) is A
10) is C
How i go this is you just take each number and plug it in like 10 all you had to do was take one of the numbers in the answers and put it in as m like this 426/3=142 and see if that works. I would use a calculator

5 0

3 years ago