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3 years ago

What is c? 4(c - 3) = 8

Mathematics

1 answer:

Ket [755]3 years ago

7 0

Answer:

4 (c - 3) = 8

4c - 12 = 8

4c = 8 + 12

4c = 20

c = 20 ÷ 4

c = 5

Hope it helps!

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In the figure lines s and t are parallel lines. which of the following statements is true. Select all that apply

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I think it would be D

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3 years ago

Does anyone know how to do this????

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4 years ago

Trapez równoramienny ABCD, którego pole jest równe 72 cm2, podzielono na trójkąt AED i trapez EBCD. Odcinek AE ma długość równą

Shtirlitz [24]

Answer:

The area of triangle AED is 12 square centimeters

Step-by-step explanation:

The question in English is

The isosceles trapezoid ABCD, whose area is equal to 72 cm2, is divided into an AED triangle and a EBCD trapezoid. The AE segment is 4 cm long and the CD segment is 2 times longer. Calculate the area of the AED triangle. Save the calculations.

The picture of the question in the attached figure

step 1

Find the length side DE

we know that

The area of the trapezoid ABCD is given by the formula

$A=\frac{1}{2} (CD+AB)DE$

$A=72\ cm^2$

$72=\frac{1}{2} (CD+AB)DE$

we have

$AE=4\ cm\\CD=2(4)=8\ cm\\AB=2AE+CD=2(4)+8=16\ cm$

substitute

$72=\frac{1}{2} (8+16)DE$

solve for DE

$144=24DE\\DE=144/24\\DE=6\ cm$

step 2

Find the area of triangle AED

The area of triangle AED is given by the formula

$A=\frac{1}{2}(AE)(DE)$

substitute the given values

$A=\frac{1}{2}(4)(6)=12\ cm^2$

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3 years ago

If n and t are positive integers, what is the greatest prime factor of the product nt ? (1) The greatest common factor of n and

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Answer:

Greatest prime factor of $nt$ is 7.

Step-by-step explanation:

Given that

Two positive integers are $n$ and $t$ .

(1) Greatest Common Factor or HCF of $n$ and $t$ is 5.

(2) Least Common Multiple or LCM of $n$ and $t$ is 105.

To find:

The greatest prime factor of the product $nt$ = ?

Solution:

First of all, let us learn about a property of HCF and LCM of two numbers.

The product of two numbers $p$ and $q$ is equal to the product of their HCF and LCM.

$p \times q =LCM\times HCF$

Using this property for the given numbers:

$n\times t =5\times 105\\OR\\nt =5\times105$

Now, let us make prime factors of $5 \times 105$ to find the greatest of the prime factors.

$5\times 105 = 5\times 5 \times 21 =5\times 5 \times 3 \times \bold{7}$

So, the prime factors of $5 \times 105$ are 5, 5, 3 and 7.

Greatest prime factor of $nt$ is 7.

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Step-by-step explanation:

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