The standard form of y = 5(x + 4)(x + 5) is

Given:

Triangle EFG is similar to triangle HIJ.

To find:

The measure of side IJ.

Solution:

We know that, corresponding sides of similar triangles are proportional.

Triangle EFG is similar to triangle HIJ.

[tex]\dfrac{EF}{HI}=\dfrac{FG}{IJ}[/tex]

Putting the given values, we get

[tex]\dfrac{7}{32}=\dfrac{4}{IJ}[/tex]

[tex]7\times IJ=4\times 32[/tex]

[tex]IJ=\dfrac{128}{7}[/tex]

[tex]IJ=18.2857[/tex]

[tex]IJ\approx =18.3[/tex]

Therefore, the measure of side IJ is 18.3 units.

Answer:

[tex]6\pi[/tex] or [tex]18.84[/tex] units

Step-by-step explanation:

The circumference of a circle can be found using the formula [tex]C=2\pi r[/tex], where [tex]C[/tex] is the circle's circumference and [tex]r[/tex] is the circle's radius. We know that [tex]r=3[/tex] and that we are solving for [tex]C[/tex]. Therefore:

[tex]C=2\pi r\\C=2*\pi *3\\C=6\pi[/tex]

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], [tex]6\pi =6*3.14=18.84[/tex] units. Hope this helps!

Step-by-step explanation:

Given

x² = 36

x² =( +6)²

x = +6

Hope it will help :)

Answer:

x= 18

Step-by-step explanation:

Divide both sides by 2

2 and 2 cancel out

36/2=18

check that it fits

2 x 18=36

18 is correct

Hope this helps ^-^

Answer:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

Answer:

P = 2(l+w) ----------(1)

P = 4l----------- (2)

P= 32x- 12

4l = 32x- 12

l = 8x- 3

One side will be equal to 21 units and the perimeter will be 84 units when x=3.

Step-by-step explanation:

The perimeter is given by the formula

P = 2(l+w) ----------(1)

where p= perimeter , l= length and w= width.

But a square has the length equal to the width so w= l and the formula becomes

P = 2( l+l)

P = 2 (2l)

P = 4l----------- (2)

The perimeter of the square is

P= 32x- 12

or

4l = 32x- 12

dividing the whole equation by 4 we get

l = 8x- 3

So the length of one side can be obtained by dividing the perimeter by 4.

If x= 3

then

l= 8(3)-3

l= 24- 3

l = 21

One side will be equal to 21 units and the perimeter will be 84 units.

P = 4l = 4(21)= 84

Answer:

75.36 cm

Step-by-step explanation:

Given.

radius (r) = 12 cm

Circumference (C)

= 2*π*r

= 2 * 3.14 * 12

= 75.36 cm

Hope it will help :)

Answer:

The answer will be -3

Step-by-step explanation:

Hope this Helped

Answer:

x= -3

Step-by-step explanation:

It is really Easy just Isolate the variable by dividing each factor that don't contain the variable

Answer:

Point B

Step-by-step explanation:

The first number in the brackets is X while the second is Y (x, y).

X is the bottom line, while Y is the line going up.

Find 2 on the bottom line and 3 on the upright line. This gives us B.

I am sorry for the poor explanation.

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

Answer: 2718

Step-by-step explanation:

Given: Mean score = 85

Standard deviation = 5

Let x be the score of a random student that follows normal distribution.

Then, the probability that a student scored between 90 and 95 will be

[tex]P(90< x < 95)\\\\=P(\dfrac{90-85}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{95-85}{5})\\\\= P(1< z< 2)\ \ \ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=P(z<2)-P(z<1)\\\\=0.9772-0.8413\\\\=0.1359[/tex]

The number of students scored between 90 and 95 = 0.1359 x (Total students)

= 0.1359 (20000)

= 2718

Hence, The number of students scored between 90 and 95 = 2718

Answer:

1424.81 square meters

Step-by-step explanation:

20.21 m * 70.5m = 1424.805 square meters

So then you round it to the nearest hundredth so then..

1424.81 square meters

Step-by-step explanation:

A of a parallelogram = Base ×height

= 20.21×70.5= 1424.805m

nearest hundreth = 1424.81 m

Answer:

About -1.7142

Step-by-step explanation:

-

Answer:

10x + 35

Step-by-step explanation:

In distributive property, you have to distribute that 5 to both the 2x and the 7, so then it would look like this:

5(2x) + 7(5)

Then we just further simplify and get:

10x + 35.

Hope this helped, let me know if you have any questions

Answer:

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Step-by-step explanation:

We are given that

ED=24units

EF=7units

FD=25 units

We have to find  the  tangents of the acute angle in the right triangle

We know that

tangent=[tex]\frac{Perpendicular\;side}{Base}[/tex]

Using the formula

[tex]tanD=\frac{EF}{ED}[/tex]

[tex]tanD=\frac{7}{24}[/tex]

[tex]tanF=\frac{ED}{EF}[/tex]

[tex]tanF=\frac{24}{7}[/tex]

Answer:

69% of 69 is 47.61 :)

Answer:

355 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=355

Answer:

h=9.51

v=3293.89

Step-by-step explanation:

hope it helps :)

Answer:

h = 9.51

v = 3293.89

Step-by-step explanation:

please mark me as brainliest

Answer:

The answer is three quarters, one nickel's dime, and a penny!

Step-by-step explanation:

Answer:

Dime- 4

Penny- 1

Half Dollar- 1

Step-by-step explanation:

A dollar is 100 cents and you have 91

91- 50 (half dollar)= 41

41- 1 (one penny)= 40

40- 40 (4 dimes)= 0

Answer:

The answers should be:

LRS = 137.5

NRS = 42.5

QRN = 137.5

MNR = 42.5

RNP = 137.5

KNP = 42.5

MNK = 137.5

Step-by-step explanation:

180 - 42.5 = 137.5

Answer:

ok this is going to be kinda confusing but here:

angle lrs: 137.5

angle nrs:42.5

angle nrq:137.5

angle knp:42.5

angle rnm: 42.5

angle mnk: 137.5

angle pnr: 137.5

Step-by-step explanation:

basically everything is either 137.5 or 42.5

Answer:

Horizontal

Step-by-step explanation:

Answer:

y = 9 is a horizontal line :)

Step-by-step explanation:

y=9 is the equation of a horizontal line. The slope is 0. This means that for any value of x that is chosen, the y-value is always 9 Hence y=9 .

Answer:

1 mile

Step-by-step explanation:

1m =160934 cm

Answer:

the equivalent expression is 8x + 4

Step-by-step explanation:

4(2x + 1) = 4x2 = 8 =

8x + 1 = 4x1 = 4 =

8x + 4

To check your work substitute 1

4(2(1) + 1) = 4(2 + 1) = 4(3) = 12

8(1) + 4 = 8+4 = 12

therefore they are both equivalent

hope this helped!

Answer:  C) 688 km

=================================================

Work Shown:

k = 1.6d

k = 1.6*430

k = 688

430 miles is roughly equivalent to 688 km.

More accurately, 430 miles = 692.01792 km, so this approximation isn't too far off.

Answer: the answer is C. 688 km

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.

Step-by-step explanation:

The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. Express each distance in kilometers. the 430 miles between Boise, Idaho, and Reno, Nevada

k = 1.6 d

Where k is in kilometers n d in miles

The distance between Boise, Idaho and Reno, Nevada is 430

Substituting d= 430 we get,

k = 1.6(430)

k = 688

RESULT

The distance between Boise, Idaho and Reno, Nevada is 688 kilometers.