Evaluate angles d and e, giving reason for your answer​

Answer:

4

Step-by-step explanation:

Break down the shape into a rectangle and a triangle

To find the base of the triangle subtract

(3x-1)-(x+1)= 2x-2

which means the area of the triangle is

.5(2x-2)(x-1)= x²-2x+1

Let's then find the area of the rectangle

(x+1)(x-1)= x²-1

Take the sum and set this equal to 40

(x²-2x+1)+(x²-1)=40

simplify...

2x²-2x-40=0

x²-x-20=0

(x-5)(x+4)=0

Reject the negative answer and get x=5

Then it's just a matter of plugging in x=5 for the height (x-1)

5-1=4 which is the final answer

Answer:

4 cm.

Step-by-step explanation:

Area formulas:

A(Rectangle) = bh

A(Triangle) = 1/2bh

A(Trapezium) = A(Rectangle) + A(Triangle)

Use the information given and substitute the values to solve for the missing height:

A(Rectangle) + A(Triangle) = A(Trapezium)

bh + 1/2bh = 40

(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40

x² - 1 + x² - 2x + 1 = 40

2x² - 2x = 40

2x² - 2x - 40 = 0

Use Quadratic Formula to solve for x:

a = 2, b = -2, c = -40

x = (-b ± √(b² - 4ac))/2a

x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)

x = (2 ± 18)/4

x = 5 and x = -4

Since we cannot have a negative height, we use x = 5:

h = (5) - 1 = 4

Therefore, the height of the trapezium is 4 cm.

Answer:

$1160

Step-by-step explanation:

And yes I agree to this statement

Answer:

160°

Step-by-step explanation:

since it is a parallelogram it's opposite angles must be equal . So,

angle GHE = angle EFG

160 degree = angle EFG

Answer:

15

Step-by-step explanation:

4:5

4 x 3 = 12 girls

5 x 3 = 15 boys

12:15

Answer:

D. 15

Step-by-step explanation:

4:5

4/5×3/3=12/15

12/15.....12 girls, 15 boys

:) ur welcome

Answer:

False

Step-by-step explanation:

3(2x - 1) = 6(1 + 1)

Distribute

6x -3 = 6(2)

6x -3 = 12

Add 3 to each side

6x  =15

x = 15/6

There is one solution

Answer:

False.

Step-by-step explanation:

3(2x - 1) = 6 (1+1)

3*2x - 3*1 = 6*2

6x - 3 = 12

Add 3 to both side

6x = 12+ 3

6x = 15

Divide both sides by 6

x = 15/6

x = 2.5

This equation has one solution

Answer:

-2/3

3/2

Step-by-step explanation:

slope is m in the equation y = m*x+b.

3y=-2x-3

y=-2/3x-1

parallel lines have the same slope, so slope of parallel lines is -2/3

perpendicular lines have negative the inverse

so -(-3/2)=3/2

Slope is the change in y over the change in x:

Slope = (30-0)/(3-0)

Slope = 30/3

Slope = 10

Answer:

The formula for slope is (y2-y1)/(x2-x1)

Hence, the answer will be:

(30-0)/(3-0)

=30/3

=10

Answer:

[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]

Step-by-step explanation:

[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]

[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]

Answer:

20 Yellow Counters

Step-by-step explanation:

You can see the clues with how the ratio changes.

To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.

The real value of the ratio if reverted back to it's original state would be:

=> (20:4)

95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.

95/19 => 5

Each Ratio in the original one presented is equal to 5.

5 * 4 = 20 Yellow Counters

Answer:

sorry I don't Know ·ω·

Step-by-step explanation:

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Given equation:

[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]

Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].

The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.

Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.

The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.

Answer:

y = 8(2) = 16

Step-by-step explanation:

"If y varies directly as x," then y = kx, where k is the constant of proportionality.

Here, when x = 6, y = 48.  This data lets us calculate k:

48 = k*6, or k = 8.

Then the pertinent equation is  y = 8x.

If x = 2, y = 8(2) = 16

Answer:

s = 20

Step-by-step explanation:

Given

3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )

0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )

0 = | 0.25s - 5 | , then

0.25s - 5 = 0 ( add 5 to both sides )

0.25s = 5 ( divide both sides by 0.25 )

s = 20

Answer: S=20

Step-by-step explanation:

Data: 3=-2(0.25s-5)+3

S=?

Step one, Multiply .25s and -5 by -2

-2x0.25s=-0.50s

-2x-5=10

Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10

Step two, add like terms

3=-.50s+10+3=3=-.50s+13

Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.

Step three, subtract 13 on both sides

3-13=-.50s+13-13

-10=-.50s

Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.

Step four, divide -.50 on both sides

-10/-.50=-.50s/-.50

S=20

Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S

That's how you get the answer

I hope this helps!

Answer:

Na dimio reso

Ta pidi yo

Era olvida yo contigo

Step-by-step explanation:

there's no explanation

Answer:

C

Step-by-step explanation:

average, average, average

if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots

Answer:

D

Step-by-step explanation:

D has three dots near to the line

Answer:

V =134.4 ft^3

Step-by-step explanation:

Volume is

V = l*w*h

V = 7*4*4.8

V =134.4 ft^3

Answer:

Perimeter

Step-by-step explanation:

Required

What does 36m represent?

From the question, we understand that the 36m is the measurement of the wall.

This, in other words, means the perimeter of the wall.

Hence, Supriya measured the perimeter

Step-by-step explanation:

✓44×11

=✓2²×11²

=22

!!!!????!!!!!!

Answer:

22

Step-by-step explanation:

First, multiply 11 and 44

11 × 44 = 484

[tex]\sqrt{484}[/tex] = 22

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Have a great summer :)

Answer: [tex]167.5\ in.^3[/tex]

Step-by-step explanation:

Given

Height of paper cone [tex]h=10\ in.[/tex]

Radius of cone [tex]r=4\ in.[/tex]

The volume of the cone is given by

[tex]\Rightarrow V=\dfrac{1}{3}\pi r^2h[/tex]

Insert the values

[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 4^2\times 10\\\\\Rightarrow V=167.5\ in.^3[/tex]

Thus, the volume of the cone is [tex]167.5\ in.^3[/tex]

Answer: 24 yards

Step-by-step explanation:

9514 1404 393

Answer:

  8.6 km

Step-by-step explanation:

The circumference of a circle is given in terms of its radius as ...

  C = 2πr

Then the radius can be found from the circumference using ...

  r = C/(2π)

Filling in the given values, we find the radius to be ...

  r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km

The radius is about 8.6 km.

Answer:

[tex]{ \tt{ = (100 + 89)\%}} \\ = { \tt{(189\% \times £854)}} \\ = £1614.06[/tex]

Answer:

the third graph is the answer

Answer:

It's A.

Step-by-step explanation:

Since 175-87 is 88, there is 88 or less available tickets left. So it is A.

Hope this helps.

Answer:

160000

Step-by-step explanation:

Let ratio be 3x,5x,4x

Sum of ratios 3x+5x+4x=12x

Share of Kofi:-

(3/12)x480000=120000

Share of Kojo:-

(5/12)x480000=200000

Share of Ama:-

(4/12)x480000=160000

Answer:

[tex]MK\approx 87.7[/tex]

Step-by-step explanation:

By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:

[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]

Answer:

87.7

Step-by-step explanation:

Like stated previously similar triangle have side lengths with common ratios

*Create a proportionality to solve for MK*

57/13 = MK / 20

Now solve for MK

Multiply each side by 20

57/13 * 20 = 87.7 ( rounded )

MK/20 * 20 = MK

We're left with MK = 87.7

Answer:

a) F

b) B, E, D

Step-by-step explanation:

a) The segment with the greatest gradient has the largest change in y-values per unit change in x-values

From the given option, the rate of change of the y to the x-values of B = the gradient = (4 units)/(2 units) = 2

The gradient of F = (-3units)/(1 unit) = -3

The gradient of A = 4/4 = 1

The gradient of C = -2/5

The gradient of D = 2/6 = 1/3

The gradient of E = 3/4

The segment with the greatest gradient is F

b) The steepest segment has the higher gradient

From their calculated we have;

The gradient of segment B = 2 therefore, B is steeper than E that has a gradient of 3/4, and E is steeper than D, as the gradient of D = 1/3

Therefore, we have;

B, E, D.