Triangle ABC ~ triangle DEF. Use the image to answer the question.

a triangle ABC with side AC labeled 7.32 and a second triangle DEF with side DE labeled 8.8, side FD labeled 6.1 and side EF labeled 6.4

Determine the length of side AB and BC in triangle ABC.

AB = 10.065, BC = 8.388
AB = 8.8, BC = 6.4
AB = 10.56, BC = 7.68
AB = 7.425, BC = 5.954

Answer:

Let s be the height of the tree's shadow.

We set up and solve this proportion:

5/2 = 27/s

5s = 54

s = 10.8 feet

The length of the tree's shadow is 10.8 feet.

Answer:

54

Step-by-step explanation:

[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]

The measure of ∠1 is 54 degrees by angle sum property

We have to find measure of angle 2 before finding angle 1 ∠1

∠2 + 109 = 180

Subtract 109 from both sides

∠2 = 180-109

∠2 =71 degrees

From angle sum property theorem we know that in any triangle the sum of  angles is 180 degrees

∠1 + 71 +55 = 180

∠1 + 126 =180

Subtract 126 from both sides

∠1 = 180-126

One hundred eighty minus one hundred twenty six is equal to fifty four degrees

∠1 = 54 degrees

Hence, the measure of ∠1 is 54 degrees by angle sum property

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Answer:

The answer is C (41.7)

Step-by-step explanation:

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Answer:

1240.4 mm²

Hope this helps!

Step-by-step explanation:

The surface area of the regular pyramid is the area of the base plus the area of the 5 triangles.

One triangle has the formula of [tex]\frac{1}{2}[/tex] × Base × ( Slant ) Height.

One triangle has the area of  [tex]\frac{1}{2}[/tex] × 16 × 20 = 8 × 20 = 160 mm²

160 mm² × 5 ( cause there are 5 triangles ) = 800 mm²

800 mm² + 440.4 mm² = 1240.4 mm²

Answer:

1240.4 mm²

Step-by-step explanation:

Surface area: add all of the sides' areas

Area of a triangle is 1/2 bh

1/2 (16)(20)=160(one side)

Since there are 5 sides we would do 160x5=800

Then adding the 2 areas together

440.4+800=1240.4

answer 2639

Step-by-step explanation:

We are asked to find the sum of all the integers between 19 and 77.

We will use sum of arithmetic sequence formula to solve our given problem.

, where,

= Sum of n terms,

n = Number of terms in the sequence,

a = 1st term,

d = Common difference.

Since we are asked to take the sum of all the integers between 19 and 77, so common difference is 1.

Therefore, the sum of all integers between 19 and 77 is 2639.

Step-by-step explanation:

Answer:

The answer is 2639

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Input them in the height of a cone formula for volume: h = 3 × V/(π × r²) where: V is the cone's volume; r is the radius; and. h is the resulting height.

Answer:

h = √(l² - r²)

Step-by-step explanation:

you need the length but this is the formula

Answer: 6.6 in^2

Step-by-step explanation:

2.2 x 3 = 6.6

Answer:

132 cm^2

Step-by-step explanation:

7x4=28

((7+19)/2)8 = 104

104+28= 132

Answer: yeah 56

Step-by-step explanation:

42.5 divided by .75 is 56.666666666666666666666666666667

And with this type of question, you have to round down to a whole number so, 56

Hope this helps :)

Answer: C. 6-4n

Step-by-step explanation:

    We will simplify the expression and see which one is equivalent.

Given:

  6n + 2(3 - 5n)

Distribute:

  6n + 6 - 10n

Subtract:

  -4n + 6

      This is the same as 6 - 4n, so our answer is C. 6-4n

Answer:

6-4n (C.)

Step-by-step explanation:

First you would do 2x3=6

2x-5n=-10n

6n+ -10n= -4n

6-4n

Answer:

7.14

Step-by-step explanation:

each semicircle is (1/2)(pi)(r^2)

together they are just pi(r^2)

this is pi(1^2)

or just pi

the square is 2x2

this is 4

so its 4+pi

7.14

Answer:

7.14 in^2

Step-by-step explanation:

3.14 x 1 ^2= 3.14

2 x 2 = 4

3.14+4= 7.14

Answer:

The approximate diameter of each tire on Jasmine's bicycle can be calculated by dividing the circumference by π (pi). Using the given circumference of 70.4 inches and rounding π to 3.14, the calculation would be as follows:Diameter = Circumference / π

Diameter = 70.4 / 3.14

Diameter ≈ 22.45 inches (rounded to the nearest hundredth)So, the approximate diameter of each tire on Jasmine's bicycle is 22.45 inches.

The approximate diameter of each tire is 22.42 inches.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2πr

or

C = πd

Where r is radius, d is diameter, and π is constant pi ( π = 3.14 )

Rearrange this formula to solve for the diameter:

C = πd

d = C/π

Substituting the given value of the circumference, we have:

d = 70.4/3.14

d = 22.42 in

Therefore, the diameter is 22.42 in.

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Answer:

$27.816

Step-by-step explanation:

First we have to find out what 20% of 23.18 is. Let x represent the amount of the tip.

(cross multiply)

20 =     x  

100     23.18

20 x 23.18 = 463.6

463.6 ÷ 100 = 4.636

x = $4.636

Now we add the amount of the tip to the original price of the dinner.

23.18 + 4.636 = 27.816

Therefore the total cost of the dinner including the tip is $27.816

Answer: $3.48

Step-by-step explanation:

Amada has $4.35. Since Sandra has 20% more cash than her, Sandra has $5.22. Owen has 50% more cash than Sandra, so he has $7.83. The difference between $7.83 and $4.35 is $3.48.

Hope this helps!

Answer: 10.44

Step-by-step explanation:

I think

Answer:

∡4 = 146°

Step-by-step explanation:

First, we need to find the value of ∡2, and keep in mind that the sum of all the angles in a triangle is = 180°.

Since the triangle is a right angle, we know that the angle to the bottom right = 90°. The other angle is 56°.

Since there are only 3 angles, let's add 56° and 90° to find ∡2.

56 + 90 = 146

180 - 146 = 34°

∡2 = 34°.

Now that we've found ∡2, we need to find out what type of angles ∡4 and ∡2 are.

They are supplementary angles, since they add up to 180°.

Let's subtract 180 - 34 to give us the value of ∡4

180 - 34 = 146

Therefore ∡4 = 146°

sorry if Im wrong

Answer:

∡4 = 146°

Step-by-step explanation:

Answer:

38.1538461538

Step-by-step explanation:

124 miles divided by 3hr 15min or 3.25 hr is 38.1538461538

Answer: 38 mph

Step-by-step explanation:

15/60= .25

3.25 hours, 124 miles

124 miles/ 3.25 hrs = 38.154 mph

Answer:

The person would have to run 40.2 yards more if they ran from point X-Y-Z instead of running straight from point X to point Z.

Hope this helps!

Step-by-step explanation:

If a person ran from point X to point Y, then to point Z, they would have to run 153.5 yards ( 100 ( length ) + 53.3 ( width ) ).

If a person ran from point X to point Z, they would have to run :

53.3² + 100² = c²  ( Pythagorean Therom )

2,840.89 + 10,000 = c²

12840.89 = c²

c = [tex]\sqrt{12840.89}[/tex]

c = 113.317650...

Point X to point Z is around 113.32 yards.

The person would have to run around 40.18 yards more if they ran X-Y-Z compared to X-Z.

Answer:

The person would have to run around 40.18 yards more if they ran X-Y-Z compared to X-Z.

Step-by-step explanation:

If a person ran from point X to point Y, then to point Z, they would have to run 153.5 yards

If a person ran from point X to point Z, they would have to run :

53.3² + 100² = c²

2,840.89 + 10,000 = c²

c²=12840.89

c = 113.317650....-

Point X to point Z is rounded to about 113.32 yards.

153.5-113.32=40.18

Answer:

60

Step-by-step explanation:

First you have to get how long it took to get there, you can do that by adding 6 and 24 (walking distance and bus ride distance) That will get you 30 now we need to times that by 2 to get how long it took to get there and to get back. That will make the answer 60!

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Answer: Option B

Step-by-step explanation:

Considering Option A

we can infer that the office manager paid a total of $675.95

the cost of the software package is $68.50

while an employee is paid $127.95 every hour she works on the website

So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95

Coming to Option B

we can infer that the office manager paid a total of $675.95

the cost of one monitor is $127.95  

while the hard drives are for $68.50 each

So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95

Hence Option B is the correct answer

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Answer:144 cubic centimeters

Step-by-step explanation:

step 1. make the shape into 3 different rectangles

step 2. multiply 6 x 4 x 3 = 72 for the bottom rectangle

step 3. multiply 4 x 4 x 3 = 48 for the middle base

step 4. multiply 4 x 3 x 2 = 24 for the top base

step 5. add all the bases up together to get 144 total cubic centimeters

Answer:

its the second one because 15 divided by 3 is 5, not 6.

I like your profile pic by the way, I love newjeans :)))

Answer:

(A.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 18 mm, YZ = 20 mm, and XZ = 39 mm. This is because the sum of the lengths of any two sides of a triangle must be greater than the length of the third side according to the triangle inequality theorem. In this case, XY + YZ = 18 mm + 20 mm = 38 mm, which is greater than XZ = 39 mm, satisfying the triangle inequality theorem.

(B.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 20 mm, and XZ = 36 mm. This is because XY + YZ = 17 mm + 20 mm = 37 mm, which is greater than XZ = 36 mm, satisfying the triangle inequality theorem.

(C.) A triangle will not be formed with vertices X, Y, and Z with side lengths XY = 16 mm, YZ = 20 mm, and XZ = 37 mm. This is because XY + YZ = 16 mm + 20 mm = 36 mm, which is not greater than XZ = 37 mm, violating the triangle inequality theorem.

(D.) A triangle will be formed with vertices X, Y, and Z with side lengths XY = 17 mm, YZ = 19 mm, and XZ = 37 mm. This is because XY + YZ = 17 mm + 19 mm = 36 mm, which is greater than XZ = 37 mm, satisfying the triangle inequality theorem.

Step-by-step explanation:

Answer:

B is the answer!

Step-by-step explanation:

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Answer: 1/6

Step-by-step explanation:

because it is one of the six possible even outcomes

Answer:

The answer is D (100)

Step-by-step explanation:

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Answer:

They are both sane and different shapes

Step-by-step explanation:

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