Given WXYZ, what is the measure of Z?

O A. 90°
O B. 1450
O c. 235°
O D. 100
O E. 55°
O F. 35°

Answer:

3

Step-by-step explanation:

7/8=0

Answer:

2×4=8

3×4=12

12÷2=6

8+6=14

Step-by-step explanation:

Answer:

17m

Step-by-step explanation: Cut the triangle in half and place it over the other triangle creating a square. We know that one side is 3m so since all the sides of a square are equal 3 times 3 equals to 9. For the rectangle 2 times 4 is 8. So finally 8 plus 9 equals to 17. The area of the composite figure is 17m.

Answer:

Horizontal distance = 0 m and 6 m

Step-by-step explanation:

Height of a rider in a roller coaster has been defined by the equation,

y = [tex]\frac{1}{3}x^{2}-2x+8[/tex]

Here x = rider's horizontal distance from the start of the ride

i). [tex]y=\frac{1}{3}x^{2}-2x+8[/tex]

      [tex]=\frac{1}{3}(x^{2}-6x+24)[/tex]

      [tex]=\frac{1}{3}[x^{2}-2(3x)+9-9+24][/tex]

      [tex]=\frac{1}{3}[(x^{2}-2(3x)+9)+15][/tex]

      [tex]=\frac{1}{3}[(x-3)^2+15][/tex]

      [tex]=\frac{1}{3}(x-3)^2+5[/tex]

ii). Since, the parabolic graph for the given equation opens upwards,

    Vertex of the parabola will be the lowest point of the rider on the roller coaster.

    From the equation,

    Vertex → (3, 5)

    Therefore, minimum height of the rider will be the y-coordinate of the vertex.

    Minimum height of the rider = 5 m

iii). If h = 8 m,

    [tex]8=\frac{1}{3}(x-3)^2+5[/tex]

    [tex]3=\frac{1}{3}(x-3)^2[/tex]

    (x - 3)² = 9

    x = 3 ± 3

    x = 0, 6 m

    Therefore, at 8 m height of the roller coaster, horizontal distance of the rider will be x = 0 and 6 m

Answer:

1.2 * 10^-5 or 0.000012

Step-by-step explanation:

Use commutative property to reorder the terms

Multiply the terms

Multiply the terms with the same base by adding their exponents

Calculate the sum

Write the number in scientific notation

1.2 * 10^-5 or 0.000012

Answer:

45

Step-by-step explanation:

Answer:

-18

Step-by-step explanation:

g(x)=3(x-5)

g(-1)=3(-1-5)

g(-1)=3(-6)=-18

Answer:

3 hours

Step-by-step explanation:

$30 + $10 = $40

* Just for a hour and the fee*

$128 ÷ $40 = 3

Answer:

he paid 8 hours

Step-by-step explanation:

kasi ibawas mo ang 30£ sa booking tapos i add mo yung 80£ sa

hours sa hall kasa naging 8 hours

Answer:

A

Step-by-step explanation:

2.2*4 = 8.8

8.8+1.7= 10.5

Answer:

The answer is A 2.2

Step-by-step explanation:

2.2×4=8.8

8.8+1.7=10.5

Answer:

y=-x-6

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=-1(x-(-1))

y+5=-(x+1)

y=-x-1-5

y=-x-6

Answer:

3/2

Step-by-step explanation:

Answer:

3/2

Step-by-step explanation:

Step-by-step explanation:

4.5÷4= 1.125

so each time she goes around the rectangle she's covering 1.125 km and we seed the length is twice the breadth x+2x=1.125

so 1.125 / 3 to give x which is the breadth=0.375 x 2 is equal to 0.75 km or 750 m this is the length of the field

Step-by-step explanation:

The length of a rectangular field is twice it's breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. What is the length of the field?

The distance cover in 4 laps is 4.5 km, So one lap is 4.5/4 = 1.125 km.

Let the breadth of the field be B so the length will be L or 2B.

The perimeter of the field is 2L+2B or 4B+2B = 6B = 1.125, so B = 1.125/6 = 0.1875 km and the length is 2*0.1875 = 0.375 km.

Check: perimeter = 2*0.375 + 2*0.1875 = 1.125 km and 4 laps covers 4*1.125 = 4.5 km. correct.

The field is 375 m long.

Answer:

44° , acute angle

Step-by-step explanation:

Given

y = 8x + 12 ← substitute x = 4

y = 8(4) + 12 = 32 + 12 = 44°

Since 44° < 90° then angle y is acute

Answer:

y = 5x - 24

Step-by-step explanation:

please let me know if you want me to add an explanation :)

Answer:

Step-by-step explanation:

y-1 = 5(x-5)

Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

Given:

The endpoints of line segment CD are C(-4,7) and D(0,-3).

To find:

The midpoint of CD.

Solution:

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

Using the midpoint formula, the midpoint of CD is

[tex]Midpoint=\left(\dfrac{-4+0}{2},\dfrac{7-3}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{4}{2}\right)[/tex]

[tex]Midpoint=\left(-2,2\right)[/tex]

Therefore, the midpoint of the line segment CD is (-2,2).

(a+b)/2

Step-by-step explanation:

if a and b are the two end points of a straight line

Answer: $24

Step-by-step explanation:

12% = 0.12

200 × 0.12 = $24

I am not a professional, simply using prior knowledge!

Note- It would mean the world to me if you could mark me brainliest!

Answer:

this would be the area

Step-by-step explanation:

0.049 you take the square root of pie and you divide it by 1/4 and see what you get will help you towards this answer

5. b1= 8, b2= 11+9=20, h= 15, A= 210

8. b1= 4, b2= 10, h= 5.2, A= 36.4

9. b1= 7, b2= 13, h= 4.2, A= 42

Answer:

UV corresponds to RS.

[tex]\angle R[/tex] corresponds to [tex]\angle U[/tex]

Step-by-step explanation:

Given

[tex]\triangle SRQ[/tex] and [tex]\triangle VUT[/tex]

Transformation: Rigid

Required

Determine the true options

When a rigid transformation occurs from SRQ to VUT, the following are the corresponding sides:

SR to VU, SQ to VT, RQ to UT

And the corresponding angles are:

<S to <V, <R to <U and <Q to <T

From the corresponding sides above, we have:

SR to VU

Rewrite:

RS to UV

Hence: (c) is correct

From the corresponding angles above, we have:

[tex]\angle R[/tex] to [tex]\angle U[/tex]

Hence:

(b) is correct

Answer:

Step-by-step explanation:

Yes they are similar.

The triangles are similar by AA~ postulate.

Answer:

Step-by-step explanation:

As per given we have:

If two angles of one triangle are congruent with another, they triangles are similar

Correct choice is C

Answer:

1/1 or 1

Step-by-step explanation:

the rise is 1 and the run is 1

Answer:

1

Step-by-step explanation:

slope is found by rise/run.

in this case, the rise is 1, and the run is 1. so, the slope is 1/1=1

Answer:

smaller ∡ = 36°

larger ∡ = 144°

Step-by-step explanation:

1x + 4x = 180

5x = 180

x = 36

Answer:

51.89085

Step-by-step explanation:

area = 49pi

150/360 * 49pi = 64.14085

triangle area = 7 * sin(75 degrees) * 7 * cos(75 degrees) = 12.25

==> white region = 64.14085 - 12.25 = 51.89085

Answer:

m∠GFT = 142°

Step-by-step explanation:

∠GFT and ∠DFT are supplementary.

m∠GFT + m∠DFT = 180

7f + 163 + 6f + 56 = 180

13f + 219 = 180

13f = -39

f = -3

m∠GFT = 7f + 163 = 7(-3) + 163 = -21 + 163 = 142

Answer:

6 pizza, 6 pasta

Step-by-step explanation:

Now from the question we can see that Mia has comparative advantage in Pasta production and Mario in Pizza production.

Now before they both specialized, Mia's production was 6 pizza, 6 pasta. Mario also was making 6 pasta, 6 pizza.

So in total both were making 12 pizza and 12 pasta.

After they had specialized, Mario's pizza production is 18 pizza and Mia's pasta production is 18 pasta.

So we have that mia is producing 6 more pizza, 18-12 = 6

and Mario is also producing 6 more pasta.

So there is net gain of 6 pizza and 6 pasta.

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