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4 years ago

QUESTION 5 What is the area of the trapezoid?

Mathematics

2 answers:

den301095 [7]4 years ago

8 0

Answer:

126 ^2 in

(12)+(16)/2 * (9)

Area= a+b/s(h)

Step-by-step explanation:

mr Goodwill [35]4 years ago

7 0

Answer:

126 in^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 12+16)*9

A = 1/2 (28) *9

= 126

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What is the end of your proof? (What are you proving?)

AnnyKZ [126]

Answer

with

Step-by-step explanation:

Statement Reasons

1.∠1 ≅ 4 Given

2.∠1 = ∠2 Being Vertically opposite angles.

3.∠4 = ∠3 Being Vertically opposite angles.

4.∠2 = 3 From Statement no 2 & 3, Transitive property.

5.∠2 ≅ 3 From Statement 4

Proved.

6 0

2 years ago

Please help me! Find the number x such that f(x) =1

STatiana [176]

Answer:

Step-by-step explanation:

We have the piecewise function:

$f(x) = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

And we want to find x such that f(x)=1.

So, let's substitute 1 for f(x):

$1 = \left\{ \begin{array}{ll} -\frac{1}{2}x-1 & \quad x \leq -2 \\ x & \quad x > -2 \end{array} \right.$

This has two equations. So, we can separate them into two separate cases. Namely:

$1=-\frac{1}{2}x-1\text{ or } 1=x$

Let's solve for x in each case.

Case I:

We have:

$1=-\frac{1}{2}x-1$

Add 1 to both sides:

$2=-\frac{1}{2}x$

Let's cancel out the fraction by multiplying both sides by -2. So:

$2(-2)=(-2)\frac{-1}{2}x$

The right side cancels:

$-4=x\\$

Flip:

$x=-4$

So, x is -4.

Case II:

We have:

$1=x$

Flip:

$x=1$

This is the solution for our second case.

So, we have:

$x_1=-4\text{ or } x_2=1$

Now, can check to see if we have to to remove solution(s) that don't work.

Note that x=-4 is the solution to our first equation.

The first equation is defined only if x is less than -2.

-4 is less than -2. So, x=-4 is indeed a solution.

x=1 is the solution to our second equation.

The second equation is defined only if x is greater than or equal to -2.

1 is greater than or equal to -2. So, x=1 is also a solution.

Therefore, our two solutions are:

$x_1=-4\text{ or } x_2=1$

Out of our answer choices, we can pick D.

And we're done!

7 0

3 years ago

$14,000 is deposited into a savings account with an annual interest rate of 4% compounded continuously. How much will be in the

Svetlanka [38]

Option A = $15,748.096
Formula for compound interest = P(1+Interest Rate)^n
=> 14000(1.04)^3
=$15,748.096

8 0

3 years ago

This too!! . Please .

REY [17]

Answer:

In order to tell if these are congruent triangles we would need to know if angles Y and V were congruent, angles X and W are congruent or if segments XU and WU were congruent.

Step-by-step explanation:

Any of these would work because you can use two different methods to telling that these are congruent triangles.

The first method is called side-angle-side. In it you need two side lengths that are congruent with a congruent angle in the middle. Since we already know that the right angle in the middle is congruent, and we know YU and VU are congruent, we would just need to know the additional side to prove congruence.

The second method is called angle, angle side. In this we need to know that two angles in a row are congruent followed by a side. Since we know the middle angle is the same, knowing either other angles would give us this method as well.

8 0

4 years ago

HELP WITH MATH hzjdjdjdjdjd

kolbaska11 [484]

Answer:

0.916

Step-by-step explanation:

Trust me thats all you gotta do.

3 0

2 years ago

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