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3 years ago

In this question, all lengths are in cm. ABC. 3x-4, 2x+12, 7x-2. Given that AB:AC = 1:2 Show that AC:BC = 2:3

Mathematics

1 answer:

tresset_1 [31]3 years ago

5 0

Answer: AC : BC = 22 : 33 = 2 : 3

Step-by-step explanation:

Since we have given that

AB = 3x-4

AC= 2x+12

BC = 7x-2

And AB: AC = 1 : 2

and To show : AC : BC = 2 : 3

So, it becomes ,

$\dfrac{AB}{AC}=\dfrac{3x-4}{2x+12}=\dfrac{1}{2}\\\\2(3x-4)=2x+12\\\\6x-8=2x+12\\\\6x-2x=12+8\\\\4x=20\\\\x=\dfrac{20}{4}\\\\x=5$

So, AC: BC becomes:

$\dfrac{AC}{BC}=\dfrac{3x-4}{7x-2}=\dfrac{2(5)+12}{7(5)-2}=\dfrac{22}{33}=\dfrac{2}{3}$

Hence, proved.

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Answer:

5 divided by 5 is 1

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3 years ago

If angle pqt is (3x+47)and angle sqr is (6x-25), find the measure of angle sqr

Radda [10]

Answer:

Angle sqr = 119°

Step-by-step explanation:

In the above question, we are given:

angle pqt is (3x+47)°

angle sqr is (6x-25)°

Angle pqt = Angle sat

We solve for x

3x + 47 = 6x - 25

Collect like terms

47 + 25 = 6x - 3x

72 = 3x

x = 72/3

x = 24

We solve for the measure of angle sqr

Angle sqr = (6x - 25)

x = 24

6 × 24 - 25

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= 119°

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3 years ago

How many times greater is the value of the 5 in 500 than the value of the 5 in 50

densk [106]

It is 10 times bigger. It is easy because you can do 50 x 10 which is 500 and you know it is 10 times bigger.

4 0

3 years ago

Jessica had a bag of candies. She gave 1/8 of her candies to judy. Then jessica gave 3/7 of the candies she had left to Reggie.

AlexFokin [52]

Answer:

Jessica had 32 candies at the beginning.

Step-by-step explanation:

Let the number of candies Jessica had at the beginning be $x$ .

Candies gives to Judy = $\frac{1}{8}x$ .

Now, candies left with Jessica is $x-\frac{1}{8}x=\frac{7x}{8}$ .

Candies given to Reggie is $\frac{3}{7}$ of $\frac{7x}{8}$ .

∴ Candies with Reggie is $\frac{3}{7}\times\frac{7x}{8}=\frac{3x}{8}$ .

Candies left with Jessica after giving to Reggie = $\frac{7x}{8}-\frac{3x}{8}=\frac{4x}{8}$ .

Now, Jessica lost 75% of what she had left. So, 75% of $\frac{4x}{8}$ .

∴ Candies lost = $\frac{75}{100}\times\frac{4x}{8}= \frac{3x}{8}$

Now, candies left with Jessica = $\frac{4x}{8}-\frac{3x}{8}=\frac{x}{8}$ .

As per question,

Candies left with Jessica at last is 4. So,

$\frac{x}{8}=4$

$x=32$

Hence, Jessica had 32 candies at the beginning.

6 0

3 years ago

Helpppppp Asapppp guys

alukav5142 [94]

Answer:

$-20\frac{3}{4}$ < $-15\frac{1}{2}$ < $-14\frac{3}{4}$ < $-\frac{1}{4}$

Step-by-step explanation:

Just so you know, the larger a negative number is, the smaller the number's value is.

3 0

3 years ago

Read 2 more answers