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3 years ago

OB is the bisector of AD and EC. . EO = 2x – 20 and OC = 70 – x. Solve for x.

1 answer:

4 0

We know that OB bisects EC where they intersect would be at point O,
so the two lengths EO and OC must be equal.

2x - 20 = 70 - x

[adding x + 20 to each side]

2x - 20 + x + 20 = 70 - x + x + 20

[simplifying]

3x = 90

[dividing each side by 3]

x = 30 would be the answer

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I need help ASAP Show your work: x - 8 = 12

choli [55]

Answer:

x = 20

Step-by-step explanation:

x - 8 = 12 Add 8 to both sides

x -8 + 8 = 12 + 8 Add -8 and 8; add 12 and 8

x = 20

6 0

2 years ago

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In a box there are six envelopes each containing two cards. Three of the envelopes contain two red cards, two of them contain a

Sphinxa [80]

Answer:

$\frac{2}{5}$

Step-by-step explanation:

3 envelopes having 2 red card

2 envelopes having 1 red card and 1 black card

1 envelope having 2 black cards

We are given that . An envelope is selected at random and a card is withdrawn and found to be red.

So, No. of ways of envelope having red card = 3+2 = 5

No. of required ways of envelope having 1 red card and 1 black card = 2

So, probability of getting an envelope having 1 red card and 1 black card = $\frac{2}{5}$

Hence The chance the other card is black is $\frac{2}{5}$

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3 years ago

In a survey of music preferences 81 out of 450 students said that they preferred country music what percent of the students pref

Kazeer [188]

To write 81/450 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .

81/450 * 100 = 0.18 * 100 = 18% 
81/450 as a percent equals 18%

6 0

3 years ago

What are the lengths of SV and QT? no links.

maxonik [38]

ok so we see that TR is 17 units, so RV is the same amount

3x+2 so 3x=15 so divide both sides by 3 we get x=5

now we know x=5 4x+1=21 and 9x-4=41

*drops microphone*

4 0

2 years ago

Read 2 more answers

A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of

cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

Explanation

Suppose, $x$ gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be: $(35-x)$ gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the distance traveled by the first car in $x$ gallons of gas $=35x$ miles and the distance traveled by the second car in $(35-x)$ gallons of gas $=15(35-x)$ miles.

Given that, the two cars went a combined total of 925 miles. So, the equation will be.....

$35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20$

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0

3 years ago