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3 years ago

What else would need to be congruent to show that triangle ABC congruent to triangle XYZ by SAS?

1 answer:

8 0

For SAS we need two congruent sides and a congruent included angle. Since we're given angle B congruent to angle Y and side AB congruent to side XY, the only thing left to show is the remaining side:

Side BC congruent to side YZ

Choice B

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Write y = 2x + 3 using function notation

Darya [45]

F(x) = 2x + 3 i think would be the best way to write it

8 0

4 years ago

Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used t

Lapatulllka [165]

Answer: $x(x+4)$

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

$\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}]$

8 0

3 years ago

The equation of the parabola with vertex (-5,3), with axis parallel to the x-axis, opening to the right and with x-intercept x =

lutik1710 [3]

Answer:

$x=1(y-3)^2-5$

Step-by-step explanation:

we need to find the equation of the parabola with vertex (-5,3), with axis parallel to the x-axis.

general equation of horizontal parabola is

$x=a(y-k)^2+h$

where (h,k) is the vertex

(-5,3) is the vertex. h=-5 and k=3. plug in the values in the general equation

$x=a(y-3)^2-5$

Now find out the value of 'a' using x intercept (4,0)

$4=a(0-3)^2-5$

$4=a(-3)^2-5$

$4=9a-5$

Add 5 on both sides

$9=9a$

a=1

the equation becomes

$x=1(y-3)^2-5$

4 0

3 years ago

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

barxatty [35]

<h2>Answer: x=-2(-y+4)</h2>

Step-by-step explanation:

-2x+4y=16

Subtract 4y from both sides

-2x+4y-4y=16-4y

Simplify

-2x=16-4y

Divide both sides by -2

-2x/-2=16/-2- 4y/-2

6 0

3 years ago

URGENT!!!!!!

Zinaida [17]

Answer: Choice B

a_n = 10(1/2)^(n-2) is the nth term

average rate of change = -35/3

=======================================================

Explanation:

Each time x increases by 1, y is cut in half. For instance, going from (2,10) to (3,5) shows this.

If we want to go in reverse, decreasing x by 1 will double the y value. So (1,20) is another point and (0,40) is another. We'll be using (0,40) and (3,5) because we want the average rate of change from x = 0 to x = 3. I'm using x in place of n here.

Use the slope formula to find the slope of the line through (0,40) and (3,5)

m = (y2-y1)/(x2-x1)

m = (5-40)/(3-0)

m = -35/3

The negative slope means the line goes downhill as you read it from left to right. The average rate of change from n = 0 to n = 3 is -35/3

The nth term of this geometric sequence is 20(1/2)^(n-1) since 20 is the first term (corresponds to n = 1) and 1/2 is the common ratio. Your teacher has done a bit of algebraic manipulation to change the n-1 into n-2. This means the 20 has to change to 10 to counterbalance.

In other words, 20(1/2)^(n-1) is equivalent to 10(1/2)^(n-2) when n starts at n = 1.

6 0

3 years ago