What is the measure of ∠3 if c∥d ?

With a total perimeter of 150 inches and a width of 42 inches, the length was calculated to be 33 inches, option D.

To determine how long the quilt is, we need to calculate the perimeter of the rectangular quilt and then solve for the missing length. Since Annita needs 150 inches of lace, we know this is the total perimeter (P) of the quilt. The quilt is 42 inches wide. The formula for the perimeter of a rectangle is P = 2(length) + 2(width). We can set up the equation as 150 = 2(length) + 2(42).

Now let's solve for the length (L):

The length of the quilt is 33 inches, which corresponds to option D.

The length of the quilt is 33 inches.

The correct option is (D).

To find the length of the quilt, we need to use the formula for the perimeter of a rectangle, which is given by:

[tex]\[ \text{Perimeter} = 2 \times (\text{Length} + \text{Width}) \][/tex]

Given that the width of the quilt is 42 inches and Annita needs 150 inches of lace to go around the entire quilt, we can set up the equation as:

[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]

Now, let's solve for the length [tex](\( \text{Length} \)):[/tex]

[tex]\[ 150 = 2 \times (\text{Length} + 42) \][/tex]

[tex]\[ 75 = \text{Length} + 42 \][/tex]

Subtract 42 from both sides:

[tex]\[ 75 - 42 = \text{Length} \][/tex]

[tex]\[ \text{Length} = 33 \][/tex]

So, the length of the quilt is 33 inches. Therefore, the answer is option D. 33 inches.

Answer:

The kitchen has a length of 10 meters and a width of 7 meters.

Step-by-step explanation:

10x7=70 meters squared

10+10+7+7=34 meters

Answer:

The length is 16 while the width is 4

Step-by-step explanation:

To solve for perimeter the equation is L+W=P

By using this equation you can get to what you need I made my own equation using what we know

My equation is 4L+W=20

Then I just started plugging things in and I ended up with L= 16 and W=4

Answer: $1.25:1yd

Step-by-step explanation:

Take 10 and divide it by 8, which should give you 1.25.

This is the answer, the ratio of dollars to yard of fabric is $1.25 per 1 yard of fabric.

To check this, simply multiply both sides by 8 and you should get the original ratio of $10 for 8 yards of fabric.

Answer:

Sum=24

Mean=8

Step-by-step explanation:

To find the sum of all the numbers you simply would do 8+7+9.

That is 24.

When finding mean you add up all your numbers then divide by the total number of number (I know that sounds a bit confusing. In this case there are only 3 numbers, so that is the one you will use for dividing)

Your equation would look like this

24

_

3

Once you divide you should get 8 as your mean or average in other terms.

Answer:

  4 +2n

Step-by-step explanation:

Tynessa has colored 4 red blocks in each figure. The number of blue blocks in each figure is the same as the figure number in both the top and bottom rows. That is, the total number of blue blocks is 2 times the figure number.

If the figure number is n, Tynessa might write the pattern rule as ...

  number of blocks = 4 + 2n

Answer:

Step-by-step explanation:

Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 34, 36, 72.

Common factors: 1, 2, 3, 6, 18.

18 is the greatest common factor.

GCF = Greatest common factor.

Answer:

The GCF of 90 and 72 is 18.

Step-by-step explanation:

All factors of 90: 1,2,3,5,6,9,10,15,18,30,45 and 90.

All factors of 72: 1,2,3,4,6,8,9,12,18,24,36 and 72.

All common factors of 90 and 72: 18, 9, 6, 3, 2, and 1.

The greatest common factor: 18.

Hopefully this helps!

Answer:

The angles are adjacent. x=20

Step-by-step explanation:

The angles should add up to 180 because they are supplementary.

7x+x+20=180

8x+20=180

180-20=160

8x=160

x=20

Answer:

volume = 179.59

please give this the brainliest!!

Step-by-step explanation:

formula = V=4/3πr3

4/3·π·3.5^3

≈179.59438

Answer:

No he does not

Step-by-step explanation:

158 / 60 = 2.63

which is about a 3 hour long movie.

Answer:

option 1 the pattern is +3 so 7+3 = 10

Step-by-step explanation:

Answer:12 secondes

Step-by-step explanation:48 seconds/ 4 people= 12 second

Answer:

12

Step-by-step explanation:

all you do is divide 48 by 4 to get 12

This graph represents function of y = 3x²+7x+2, which is correct option(D).

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

Given function, y = 3x²+7x+2

Compare the given function to f(x) = ax² + b x + c ,

The graph of given function is upward (or opens up) because the value of 3 is more than 0, 3 > 0.

The x-intercept of given function are (-1/3, 0) and (-2,0)

The y-intercept of given function is (0,2)

Here is a graph represents function of y = 3x²+7x+2

Learn more about parabola here:

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The correct option is A. Graph A. It shows an upward-opening parabola with a vertex and y-intercept that match the derived values.

1. Direction of the Parabola : Since the coefficient of [tex]\( x^2 \)[/tex] (which is [tex]3[/tex]) is positive, the parabola opens upwards.

2. Vertex : The vertex of a parabola in the form [tex]\( y = ax^2 + bx + c \)[/tex] can be found using the formula for the x-coordinate of the vertex, [tex]\( x = -\frac{b}{2a} \)[/tex]

For the given function:

[tex]\[ a = 3, \quad b = 7 \][/tex]

So,

[tex]\[ x = -\frac{7}{2 \times 3} = -\frac{7}{6} \][/tex]

Next, we find the y-coordinate of the vertex by plugging [tex]\( x = -\frac{7}{6} \)[/tex] back into the equation:

[tex]\[ y = 3\left(-\frac{7}{6}\right)^2 + 7\left(-\frac{7}{6}\right) + 2 \][/tex]

Let's compute that:

[tex]\[ y = 3 \times \frac{49}{36} - \frac{49}{6} + 2 \][/tex]

[tex]\[ y = \frac{147}{36} - \frac{294}{36} + \frac{72}{36} \][/tex]

[tex]\[ y = \frac{147 - 294 + 72}{36} \][/tex]

[tex]\[ y = \frac{-75}{36} \][/tex]

[tex]\[ y = -\frac{25}{12} = -2.083 \][/tex]

Thus, the vertex is approximately at [tex]\(\left( -\frac{7}{6}, -\frac{25}{12} \right)\)[/tex]

3. Y-Intercept : This is the value of [tex]\( y \)[/tex] when [tex]\( x = 0 \)[/tex]

[tex]\[ y = 3(0)^2 + 7(0) + 2 = 2 \][/tex]

The graph should cross the y-axis at [tex]\( y = 2 \)[/tex]

Now, let's compare these features with the provided graphs:

The parabola should open upwards.

The y-intercept should be [tex]2[/tex].

The vertex should be approximately at [tex]\( \left( -\frac{7}{6}, -\frac{25}{12} \right) \)[/tex]

The complete question is

Which of the following graphs is described by the function given below? y=3x^2+7x+2

A. Graph A

B. Graph B

C. Graph C

D. Graph D

Answer:

585 steps

Step-by-step explanation:

To get the solution multiply:

9*13*5 = 585

Support me by selecting my answer as brainiest

Answer:

78.

Step-by-step explanation:

13/2=6.5

6.5X12=78.

78/2=39

39X2=39. You times it by 2 because there are two equivalent sides.

Using the Pythagorean theorem, the diagonal distance from one corner pocket to the diagonally opposite corner pocket on an 8 foot by 4 foot pool table is about 8.94 feet.

To determine the distance from one corner pocket to the diagonally opposite corner pocket on a pool table, we can use the Pythagorean theorem because the pool table forms a rectangle and the diagonal forms a right triangle with the length and width of the table. Given the dimensions of the pool table as 8 feet long and 4 feet wide, we can label these as the two sides of the right triangle.

The Pythagorean theorem states that for a right triangle with sides of lengths a, b, and hypotenuse c, the relationship between these sides is [tex]a^2 + b^2 = c^2[/tex]. Substituting the given values, we have:

Therefore, the diagonal distance from one corner pocket to the diagonally opposite corner pocket is about 8.94 feet.

Answer:

3 < s

Step-by-step explanation:

−4>−4/3s

Multiply each side by -3/4 to isolate s.  Remember to flip the inequality since we are multiplying by a negative

-4 * -3/4 < -4/3s * -3/4

3 < s

Answer:

0.14285714285

Hope this helps :)

Step-by-step explanation:

Answer:

.1428

Step-by-step explanation:

1/3 times 3/7= .1428

Answer: 30

Step-by-step explanation:

Let the number be y

Add 5 to me

Y+5............equ1

Divide by 7

Y+5/7

Add 12

Y+5/7+12

Subtract 7

(Y+5)/7+(12-7)=10

12-7=5

Substitute

(Y+5)/7+5=10

Find the lowest common multiple

((Y+5)+7(5))/7=10

(Y+5)+35)/7=10

Cross multiply

Y+5+35=70

Y+40=70

Y=70-40

Y=30

The unknown number is 30

Answer:

c

Step-by-step explanation:

The points that show the triangle when it is translated two units down are (2, 3) (0, 1), and (2, 1).

A function, f, that maps to itself are known as a transformation, or f: X- X. The pre-image X becomes the picture X following the transformation. This transformation can use any operation, or a combination of operations, including translation, rotation, reflection, and dilation. Translation, rotation, reflection, and dilation can all be used to move a function in one direction or another.

Given that the initial coordinate of triangles ABC are at points

(2, 1), (0, -1), (2, -1).

The coordinate base of the triangle must be (2, 1) and (2, -1)

When the triangle is translated two units down.

2 will be added to all its y coordinates. While the x coordinate remains the same

The new coordinate will be

(2, 2+1), (0, 2-1), (2, 2-1)

(2, 3) (0, 1) and (2, 1)

Hence the new coordinates are (2, 3) (0, 1), and (2, 1).

Learn more about transformations;

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The complete question is,

The triangle on the grid will be translated two units down. On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1). Which shows the triangle when it is translated two units down

Answer:

- [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - [tex]\frac{3}{4}[/tex] ← is in slope- intercept form

with y- intercept c = - [tex]\frac{3}{4}[/tex]

Answer:

C) 26 blocks

Step-by-step explanation:

For the firs one draw a dot where they start. Then draw a line going down and label it 10. Next draw a line going left and label it 24. Connect the end of those who lines to form a triangle. Now we can use the pythagorean theory.

a^2 + b^2 = c^2

a^2= side one (you choose)

b^2= side two (whichever side you didn't use out of the two)

c^2= the hypotenuse( this is the diagonal line you drew connecting the two lines at the end)

10^2 + 24^2 =c^2

100 + 576 =c^2

676=c^2     Since the C is still squared we have to squareroot both sides. This will cancel oout the ^2 on the C.

[tex]\sqrt{676} =\sqrt{c^2}[/tex]   Solve.

26=c

Answer:

$882.24 compound interest earned / $1,082.24 total

Step-by-step explanation:

You are going to want to use the compound interest formula, which is shown below.

[tex]P(1+\frac{r}{n} )^{nt}[/tex]

P = initial balance

r = interest rate

n = number of times compounded annually

t = time

Now lets plug in the values into the equation.

[tex]200(1+\frac{.325}{1} )^{6}[/tex] = 1,082.24

Since we want to know the compound interest earned, just subtract 200 from 1,082.24.

1,082.24 - 200 = $882.24

Answer:

A

Step-by-step explanation:

may i have brainliest

The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T.  Then the correct options are A and B.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

If the two angles are similar of the triangles, then the triangles are similar triangle.

The best explains the relationship between the two triangles will be Angle A is congruent to angle R, Angle C is congruent to angle S, and Angle D is congruent to angle T.  Then the correct options are A and B.

More about the triangle link is given below.

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Answer:

70

Step-by-step explanation:

Set up a system:

C + A = 105

C = 2A

Substitute:

3A = 105

A = 35

C = 70

Answer:

70 children 35 adults

Step-by-step explanation:

X= children

Y=Adults

x+y=105

1/2x=y

x+y=105

1/2x-y+0

x+y+105

x-2y=0

3y=105

y=35

x+35=105

x=70

Given:

UT = 31.5

To find:

The measure of US.

Solution:

In the figure, WV bisects UT.

⇒ US = ST -------------- (1)

UT = US + ST

31.6 = US + US    (using (1))

31.6 = 2 US

Divide by 2 on both sides.

[tex]$\frac{31.6}{2} =\frac{2US}{2}[/tex]

[tex]15.8=US[/tex]

The measure of US is 15.8.

Answer:

42

Step-by-step explanation:

Answer:

8 units like the top person says

No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet.  20 square required to make quilt.

Step-by-step explanation:

The given is,

                Area of an rectangular quilt - 80 square feet

               She made 16 squares

               Square have 2 feet long and 2 feet wide

Step:1

             Area of rectangular quilt = 80 square feet

             Area of 16 squares = 16 × Area of square..................(1)

            Formula for area of square,

                                       [tex]A = a^{2}[/tex]................................(2)

           Where, a - Sides of square

                        a = Length = Wide

           From given,

                        a = 2 feet

          Equation (2) becomes,

                                          [tex]A = 2^{2}[/tex]

                                          A = 4 square feet

         Equation (1) becomes,

                          Area of 16 squares = 16 × 4

                                                          = 64 square meters

         Area of rectangular quilt ≠ Area of 16 squares

                                    80 ≠ 64

         Area of square is less compare to area rectangular quilt, so we need more square,

       Required amount of square area = 80 - 64

                                                               = 16 square feet

               Required amount of squares = [tex]\frac{16}{4}[/tex]

                                                                = 4 squares

       Total(16+4) square areas = 20 × 4 = 80 square feet

          Area of rectangular quilt = Area of 20 squares

                         80 square feet = 80 square feet

Result:

         No, she doesn't have enough square to complete the quilt. Mrs. Alexander need 4 more squares to complete the rectangular quilt, that will have an area of 80 square feet. 20 square required to make quilt.