Will mark brainlyiest

Answer:

[tex]EF = 18[/tex]

Step-by-step explanation:

Given

[tex]\triangle DE\ F[/tex] similar to [tex]\triangle JHI[/tex]

Required

Find [tex]EF[/tex]

[tex]\triangle DE\ F[/tex] similar to [tex]\triangle JHI[/tex] implies that:

The corresponding sides are:

[tex]DE \to JH[/tex]

[tex]DF \to JI[/tex]

[tex]EF \to HI[/tex]

[tex]FG \to IK[/tex]

First, solve for x using the following corresponding ratios

[tex]EF : HI = FG : IK[/tex]

This gives:

[tex]x + 8 : 3x - 2 = 9 : 14[/tex]

Express as fraction

[tex]\frac{x + 8 }{ 3x - 2} = \frac{9 }{ 14}[/tex]

Cross multiply

[tex]14(x + 8) = 9(3x - 2)[/tex]

Open brackets

[tex]14x + 112 = 27x - 18[/tex]

Collect like terms

[tex]27x - 14x = 112 + 18[/tex]

[tex]13x = 130[/tex]

Solve for x

[tex]x = 10[/tex]

In the diagram, we have:

[tex]EF = x +8[/tex]

[tex]EF = 10 +8[/tex]

[tex]EF = 18[/tex]

Answer:201.06

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

A= 30 sq feet

? = 5 feet

Step-by-step explanation:

if the total area is 104 square feet and we know where 44 square feet of that is accounted for that leaves 60 square feet so both A sections are equal so we can divide 60 by 2 to get 30 square feet. So "A" is 30 square feet.

to get "?" we need to find the other measurement for the 10 square foot sections, the easiest way to find that is 10 divided by 2 ( which is the measurement we already have), once we do this we get 5 feet, and because 5 feet is the height measurement for that part of the net diagram we know that the "?" will need to be 5 as well because it is also a height measurement.

Answer:

i think it would be 17

Step-by-step explanation:

sorry if its wrong

Answer:

C) (-4,2)

Step-by-step explanation:

It would be in quadrant II, so (-4,2)

Answer:

Area of sector MAG = 35.2π unit² (Approx.)

Step-by-step explanation:

Given:

Diameter MP = 26 unit

ARC MG = ARC IP

∠GAI = 30°

Find:

Area of sector MAG

Computation:

Radius = Diameter MP / 2

Radius = 26 / 2

Radius = 13 units

∠MAG = ∠IAP

So,

∠MAG + ∠GAI + ∠IAP = 180

∠MAG + 30 + ∠MAG = 180

2∠MAG = 150

∠MAG = 75°

Area of sector = [θ/360][π][r]²

Area of sector MAG = [75/360][π][13]²

Area of sector MAG = [0.2083][π][169]

Area of sector MAG = 35.2π unit² (Approx.)

Answer:

A. t - 5 < 26°

Step-by-step explanation:

Record low temperature for that date = 26°

Temperature at 10:00 PM = t

A fall in temperature by 5° = t - 5

Thus, this is said would mean the record low temperature would be breaking at this point, meaning the new temperature low recorded will be less than 26°.

In mathematical expression, this is expressed as;

t - 5 < 26°

Answer:

B

Step-by-step explanation:

Choose a point from your graph. I chose (2, 1). Then substitute the x value into each of the equations. The second equation says that the y value (1 in the point I chose), is half of the x value (2 in the point I chose). Since 1 is half of 2, B is the correct equation :)

Answer:

d it is D

Step-by-step explanation:

Answer:

21.V=1746.1

22.V=1922.7

23.V=54.4

Step-by-step explanation:

V=h*w*l                V=pir^2*h

V=12*8*14 .           V=pi*4^2*8

V=1344 .               V=402.1

V1+V2=1344+402.1=1746.1

V=pi*r^2*h             V=2/3*pi*r^3

V=pi*6^2*13           V=2/3*pi*6^3

V=pi*36*13             V=2/3*pi*216

V=1470.3                V=452.4

V1+V2=1470.3+452.4=1922.7

V=1/3pi*r^2*h           V=1/3pi*r^2*h

V=1/3pi*2^2*6          V=1/3pi*2^2*7

V=8pi                       V=28/3pi

V=25.1 .                    V=29.3

V1+V2=25.1+29.3=54.4

9514 1404 393

Answer:

  x^2 +4x -21

Step-by-step explanation:

Substitute the given expressions and simplify.

  f(x) + g(x)

  = (x^2 +3x -28) +(x +7)

  = x^2 +(3+1)x +(-28 +7)

  = x^2 +4x -21

Answer:

2 is teh answer

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

9514 1404 393

Answer:

  3.16 ≈ 3.2

Step-by-step explanation:

Put the numbers in the distance formula and do the arithmetic.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((2-(-1))² +(3-2)²) = √(3² +1²) = √10

  d ≈ 3.16 ≈ 3.2

The distance rounded to hundredths is 3.16. Rounded to tenths, it is 3.2.

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

Current Balance: $150

Income rate: 15x

Equation: 15x+150

Answer:

Second option is the correct answer.

Step-by-step explanation:

[tex] \frac{2}{3} x - 5 > 3 \\ \\ \frac{2}{3} x > 5 + 3\\ \\ \frac{2}{3} x > 8 \\ \\ x > 8 \times \frac{3}{2} \\ \\ x > 12[/tex]

Answer:

one solution

Step-by-step explanation:

It will cross the x-axis one time

Answer:

16,25,30,49

25+30=55

55÷2=27.5

Step-by-step explanation:

median means the middle value of any set of data so first arrange the data into ascending order.

16, 25, 30, 49

the data is even so we take both the middle value , add it and divide it with 2

25+30=55

55÷2=27.5

Answer:

Correct Answer:  1088 m3

Step-by-step explanation:

To find the volume of the pyramid, first calculate the area of the base.

As the pyramid is rectangular, the base of the pyramid is a rectangle.

Use the formula for the area of a rectangle to calculate the area of the base.

B = lw

Substitute 16 for l and 12 for w.

B = 16 ⋅ 12

Simplify.

B = 192 m2

To find the volume of the pyramid, use the formula for the volume of a pyramid.

V = 1/3 Bh

Substitute 192 for B and 17 for h.

V = 1/3 ⋅ 192 ⋅ 17

Simplify.

V = 1088 m3

Therefore, the volume of the rectangular pyramid is 1088 m3.

Answer:

80 is the median

The median is just the number in the middle and since 80 is in the middle the median is 80 hope that helps!

Answer:

x is 2

Step-by-step explanation:

Answer:

The length of the rectangle is 13m

Answer:

[tex]-15\geq x\geq 5[/tex]

Step-by-step explanation:

X is between -15 and 5, the closed dots tell us we must include both -15 and 5 in the equation

Answer:

22 days = 3 weeks and 1 day

454 minutes = 7 hours and 34 minutes

4 years and 4 months = 148 months

12 pounds and 13 ounces = 205 ounces