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3 years ago

8

Determine which of the following relationships is true.

1 answer:

Nikolay [14]3 years ago

7 0

Answer:

DE is parallel to AC

DE = 2AC

<h3><u>Explanation</u><u> </u></h3>

In triangle ABC, BD = AD

BE = EC

D is mid point of AB

E is the mid point of AC

According to the mid point theorem, ( The line segment in a triangle joining the midpoint of two sides of the triangle is said to be parallel to its third side and is also half of the length of the third side.”) DE is parallel to AC and equal to half of it

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X/2+3/4=7/4<br>What does x equal

IgorC [24]

<span>X/2 + 3/4 = 7/4

We want to isolate X by itself. Subtract 3/4 from both sides

X/2 = 4/4
X/2 = 1

Multiply both sides by 2 to cancel out the 1/2 on the same side of the X

X = 2</span>

8 0

3 years ago

The area of a playground is 20 square yards. The length of the playground is 5 times longer than its width. Find the length and

jok3333 [9.3K]

The answer is <span>length = 10 yd, width = 2 yd
proof
</span><span>The length of the playground is 5 times longer than its width, it means
l=5w, but 10= 2x5 so we can write l= 5w,
and Area = 20 =l x w = (5x2) x 2 =20</span>

6 0

4 years ago

In Cecilia’s CD collection, 1/5 of her Jazz CDs represents 1/10 of all her CDs. What is the ratio of her Jazz CDs to her non-Jaz

KatRina [158]

Answer: The required ratio is 1:1.

Step-by-step explanation:

Let the total number of CDs be 100

$\frac{1}{10}$ of CDs is given by

$\frac{1}{10}\times 100\\\\=10$

According to question,

$\frac{1}{5}$ of her Jazz CDs represents $\frac{1}{10}$ of all her CDs.

Let the number of Jazz CDs be x

So, it becomes

$\frac{1}{5}\times x=10\\\\x=10\times 5\\\\x=50$

So, Number of Jazz's CDs is 50

Number of Jazz non CDs is given by

$100-50=50$

Ratio of her CDs to her non- CDs is given by

$50:50\\\\1:1$

Hence, the required ratio is 1:1.

6 0

3 years ago

Answer this plz!!!!!!!!!!

belka [17]

That's a trapezoid,

$A = \frac 1 2 (b+B)h$

$A = \frac 1 2 (4+12) 4 = 32$

Answer: 32

But say we didn't know the formula. We can chop out the 4 by 4 square and we have two 45/45/90 triangles side 4 left over, so two 4 by 4 squares,

A = 2(4)(4) = 32

We can think of this as 12 by 4 rectangle with two 4 by 4 right triangles chopped out:

A = 12(4) - 2(1/2)(4)(4) = 48 - 16 = 32

7 0

3 years ago

The initial value of a quantity Q (at year t = 0) is 112.8 and the quantity is decreasing by 23.4% per year. a) Write a formula

Svetach [21]

Answer:

a) $Q(t) = 112.8*(0.766)^{t}$

b) When t = 10, Q = 7.845.

Step-by-step explanation:

The value of a quantity after t years is given by the following formula:

$Q(t) = Q_{0}(1 + r)^{t}$

In which $Q_{0}$ is the initial quantity and r is the rate that it changes. If it increases, r is positive. If it decreases, r is negative.

a) Write a formula for Q as a function of t.

The initial value of a quantity Q (at year t = 0) is 112.8.

This means that $Q_{0} = 112.8$ .

The quantity is decreasing by 23.4% per year.

This means that $r = -0.234$

So

$Q(t) = 112.8*(1 - 0.234)^{t}$

$Q(t) = 112.8*(0.766)^{t}$

b) What is the value of Q when t = 10?

This is Q(10).

$Q(t) = 112.8*(0.766)^{t}$

$Q(t) = 112.8*(0.766)^{10} = 7.845$

When t = 10, Q = 7.845.

4 0

4 years ago