Danielle is making a quilt with triangles and squares. There are 4 colored triangles inside each square. The base and height of each triangle is x + 4 inches as shown. Which polynomial represents the area of the colored triangles in square inches?

Answer:

[tex]64\ \text{sq. units}[/tex]

Step-by-step explanation:

Area of a rhombus is the product of the length of the diagonals divided by two.

Length of one diagonal is 8 units and the other diagonal is 16 units

Area is given by

[tex]A=\dfrac{8\times 16}{2}\\\Rightarrow A=64\ \text{sq. units}[/tex]

The area of the rhombus is [tex]64\ \text{sq. units}[/tex]

Another approach is the diagonals have created 4 triangles where the base and is height is either 4 units long or 8 units long so the area of the rhombus would be the area of the 4 triangles.

[tex]A=4\times \dfrac{1}{2}\times 4\times 8\\\Rightarrow A=64\ \text{sq. units}[/tex]

Answer:

m∠RSP = 130°

Step-by-step explanation:

In parallelogram,opposite angles are equal.

m∠RSP = m∠PQR

m∠RSP = 130°

Answer:

∠RSP=130

Step-by-step explanation:

It is given that ∠PQR = 130°

∴∠RSP = 130° (vertically opposite angles are equal in a parallelogram)

Answer:

The Answer is 2 blue marbles.

Step-by-step explanation:

The numbers of blue marbles in the bag will be 2.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

a bag contains = 10 red marbles

the ratio of red marbles to blue marbles is = 5:1

That is :

5 ratio of marbles is equals to = 10 marbles

now,

1 ratio of marbles is equals to = 2 marbles

Therefore, the numbers of blue marbles in the bag will be 2.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

Answer:

Step-by-step explanation:

[tex]\Rightarrow \: \:\sf\purple{ 2z - 6 = 20}[/tex]

[tex]\Rightarrow \: \:\sf\green{ 2z = 20 + 6}[/tex]

[tex]\Rightarrow \: \:\sf\purple{ 2z = 26}[/tex]

[tex]\Rightarrow \: \:\sf\green{ 2z \div 2 = 20 \div 2}[/tex]

[tex]\Rightarrow \: \:\sf\purple{z = 26 \div 2}[/tex]

[tex]\Rightarrow \: \:\sf\pink{z =13}[/tex]

[tex]\bf\red{Hope \: it \: helps}[/tex]

Answer:

The number of miles the homes of Fran's and Alex's homes are apart is approximately 8.602 miles

Step-by-step explanation:

The given displacements, d in vector form are;

For Fran;

3 miles west and 2 miles south gives d₁ = -3·i - 2·j

For Alex;

4 miles east and 3 miles north gives d₂ = 4·i + 3·j

The number of miles apart between Fran's and Alex's homes = d₂ - d₁

d₂ - d₁ = 4·i - (-3·i) + 3·j - (-2·j) = 7·i + 5·j

∴ The number of miles between Fran's and Alex's homes = 7·i + 5·j

The magnitude in miles in the distance between Fran's and Alex's homes = √(7² + 5²) = √74

∴ The magnitude in miles in the distance between Fran's and Alex's homes ≈ 8.602 miles

The magnitude in miles in the distance between Fran's and Alex's homes = The number of miles the homes of Fran's and Alex's homes are apart

∴ The number of miles the homes of Fran's and Alex's homes are apart ≈ 8.602 miles

Answer:

a ball strecker

Step-by-step explanation:

Answer:

Because two of my uncles got shot and my moms friend committed suicuide. This all happened this year. That’s why I’m sad.

Step-by-step explanation:

Answer:

5°

Step-by-step explanation:

4x+81=13x+36

answer is 5°

Answer:

x=3

Step-by-step explanation:

3x+4=2x+10

-3       -3

4= -1x+10

-10     -10

-6= -1x

divide by -1

x=6

Thats how you do it

Answer:

x=6

Step-by-step explanation:

first you have to subtract 4 from both sides

3x=2x+10-4

then simplify 2x+10-4 to 2x+6 so you will get

3x=2x+6

-2 -2

(^^you subtract 2x from both sides )

then you get your answer which is x=6

Answer:

So if you have 259 and you need 499 subtract and you get 259 is how much you need 259 divided by 30 is 8.63333333333 rounding up you will need to wait about 9 more  weeks

Step-by-step explanation:

Good luck and have fun!

Answer:

8.760 x 10^3

Step-by-step explanation:

There are 8760 hours in 1 year. So, you can convert this to scientific notation by moving the decimal from 8760 three times to the left:  8760. → 8.760  And since it was moved three times, put an exponent of 3 to the 10:  10^3  So, you get 8.760 x 10^3 hours in a year.

Hope this helps! :)

Answer:

$1479

....,..........

Answer:

If your talking about how much they are going to pay ONLY interest for two years then it is $1,479. $1,479 is the amount of money they will be paying for two years ONLY FOR INTEREST.

Step-by-step explanation:

3% of 24,650 is 739.5. That is for one year. 739.5 times 2 for two years is 1,479. Just in interest they will be paying a total of 1479 for two years. Let me know if I'm right. This should be right though. Hope it helped :)

Answer:

From the graph, it is clear that:

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Step-by-step explanation:

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

From the graph, it is clear that:

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Answer:

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Step-by-step explanation:  

We know that the y-intercept of the graph of the linear function can be determined by setting x=0 and solving for y

As the graph crosses the y-axis at x=0

From the graph, it is clear that:

at x=0, the value of y=-6

Therefore, the y-intercept of the graph of the linear function: (0, -6)

Answer: A: Slope = -4, y-intercept 1

Step-by-step explanation:

To find slope, do rise over run. The y-intercept is where the line crosses the y-axis.

Answer:

The slope is -3/8

Step-by-step explanation:

Y= mx+b

m or mx is the slope while b is the y intercept

Answer:

12

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You find the unit rate of 9:3 and its 3 then multiply three by 7 and thats

21.

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

[tex]x_{vertex}[/tex] = - [tex]\frac{4}{4}[/tex] = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

Answer:

y = 2x - 6

Step-by-step explanation:

Answer:

Slope=-1

Step-by-step explanation:

slope is   ΔY/ΔX

ΔX = 3 – -5 = 8

ΔY = -1 – 7 = -8

Answer:

False

Step-by-step explanation:

Answer:

who wanna talk im bored

Answer:

B

Step-by-step explanation:

Answer:

200.96

Step-by-step explanation:

A = 3.14(8^2)

3.14 * 8 * 8

3.14 * 64

200.96

Answer:

if it is 1.1 times 8 that would be 8.8, but if it is just 11 times 8 that would be 88.

Step-by-step explanation:

Answer:

T

Step-by-step explanation:

All the other ones are functions because their relations all start with different numbers except T, where it has 3 two times.

Answer:

x=5 hope this helps

Step-by-step explanation:

Answer:

1. will be 2×1+1<_3

2. with 1+3×-2>_5

3. with 5--2×3>_11

4.5×2+7>_17

Answer: 660 is divisible by 2,4, 5, 11 and 3

Answer:

500

Step-by-step explanation:

Answer:

500

When rounding to the nearest hundred, like we did with 545  we use these rules

first you would have to round the number up to the nearest hundred if the last two digits in the number are 50 or above.

then you would have to   round the number down to the nearest hundred if the last two digits in the number are 49 or below.

lastly you would have to  see if  the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

The third one is correct

Answer:

there is no -1 it must be one so it is now 3/4 x 4/3=12/2=1

Step-by-step explanation:

Step-by-step explanation:

symbolab would be a great thing to use, itll tell you the steps and the answer