Can someone please help me with problem 6 of this assignment?I included the measurements of the triangle so that you are able to solve it accurately.

Geometry Topic: 6.1 - 6.4 Constructing Parts and Centers

Problem 6 Directions: Remember! Triangle centers may be outside the triangle. Locate the orthocenter of each triangle by finding the intersection of the altitudes.

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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!

Answer:  C) 688 km

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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.

Answer:

the answer is Atkins agreeing to testify against Manson in exchange for avoiding the death penalty

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:

option 1

Step-by-step explanation:

please Mark me as brainlist

The set of side lengths that could represent a right triangle is

12 ft, 10 ft, and 8 ft.

Option D is the correct answer.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

To determine which of the given sets of side lengths could represent a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

Using this theorem, we can check each of the given sets of side lengths to see if they satisfy this condition:

6 ft, 5 ft, 4 ft

6² + 5² = 36 + 25 = 61

4² = 16

Since 61 is not equal to 16, this set of side lengths does not represent a right triangle.

8 ft, 7 ft, 6 ft

8^2 + 7^2 = 64 + 49 = 113

6^2 = 36

Since 113 is not equal to 36, this set of side lengths does not represent a right triangle.

10 ft, 8 ft, 6 ft

10^2 + 8^2 = 100 + 64 = 164

6^2 = 36

Since 164 is not equal to 36, this set of side lengths does not represent a right triangle.

12 ft, 10 ft, 8 ft

12^2 + 10^2 = 144 + 100 = 244

8^2 = 64

Since 244 is equal to 64 + 180, this set of side lengths does represent a right triangle.

Therefore,

The set of side lengths that could represent a right triangle is 12 ft, 10 ft, and 8 ft.

Learn more about triangles here:

https://brainly.com/question/25950519

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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:

[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: 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:

i think 6.44

Step-by-step explanation:

first the diameter is 4.6 then multiply the 4.6 with 1.4 and u obtaine 6.44 (note:iam not sure iam still in seven grade)

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:

All real numbers are solutions

Step-by-step explanation:

2x + 8 = 2(x + 4)

~Simplify right side

2x + 8 = 2x + 8

~Subtract 8 to both sides

2x = 2x

~Divide 2 to both sides

0 = 0

Best of Luck!

Answer: the answer is infinite

Step-by-step explanation: so first you need to distribute the 2 into the () and you would get 2x+8 and since it is the same on both sides it cancles eachother out therefore there is infinite answers

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:

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:

About -1.7142

Step-by-step explanation:

-

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:

355 square inches

Step-by-step explanation:

Answer:

Step-by-step explanation:

b=355

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:

20

Step-by-step explanation:

17+24+26+13=80

80/4=20

Answer:

5.62 - 0.32= 5.3 or 5.30

Step-by-step explanation:

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:

It was easy

Step-by-step explanation:

11 x 2 = 22

3 x 2 = 6

22 x 6 = 132

The time Jazzy has before going to bed is  [tex]\frac{5}{6}[/tex] hour

The first step to take in determining the answer is to add the hours she spent on various activities she did after dinner

Sum of activities done after dinner = hours spent on homework + hours spent on the telephone

[tex]1\frac{1}{2}[/tex] + [tex]\frac{2}{3}[/tex]

[tex]1\frac{3 + 4}{6}[/tex]

= [tex]1\frac{7}{6}[/tex]

=[tex]2\frac{1}{6}[/tex]  hours

Th second step is to subtract the total hours Jazzy spent on activities from the hours Jazzy has before going to bed after dinner

Time left before she goes to bed = time she has to go to bed after dinner - total hours spent before going to bed

3 - [tex]2\frac{1}{6}[/tex]  hours = [tex]\frac{5}{6}[/tex] hour

A similar question was solved here: https://brainly.com/question/18157047?referrer=searchResults

Answer:

69% of 69 is 47.61 :)

Answer:

the answer to this is d

Step-by-step explanation:

x-3=5

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

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 ^-^