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2 years ago

Can someone help? 25 points

Mathematics

2 answers:

gregori [183]2 years ago

3 0

Answer:

t ≥ 18

Step-by-step explanation:

He has run 12 miles plus some more miles t. He need to run at least 30 miles

12+t ≥ 30

Subtract 12 from each side

12+t-12 ≥ 30-12

t ≥ 18

4vir4ik [10]2 years ago

3 0

Answer:

t 》18

Step-by-step explanation:

t + 12 》30

t 》30 - 12

t 》18

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Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.

Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

AC = 2 x XY
CB = 2 x YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x XY

CB = 2 x YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A - given

Then ∠X and ∠Z are said to becomplementary angles

Since m∠Z = 90° - m∠X -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5 seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0

2 years ago

Solve the equation below. Pls include work<br><br><br><br> 28.10 = 15.5 + 5x

madreJ [45]

Answer:

2.52

Step-by-step explanation:

5x + 15.5 = 28.1

subtract 15.5 from both sides

5x = 12.6

divide both sides by 5

x = 2.52

5 0

2 years ago

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Can somebody please answer this asap

erastovalidia [21]

Answer:

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2 years ago

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Which expressions are equivalent to 2 (a + 3b)?

VARVARA [1.3K]

Answer:

A & B

Step-by-step explanation:

A is spot-on because of the use of distributive property. B by the use of like terms.

8 0

2 years ago

Taylor dropped a rubber ball from a height of 8 feet.The ball hit the ground after 1 second,bounced up to 5 feet in the next sec

Rzqust [24]

Answer:

The graph is constant in the interval [4,6]

Step-by-step explanation:

We are given that,

Taylor dropped a rubber ball from a height of 8 feet.

So, at time t= 0 sec, the ball is being thrown.

Now, the next events follows as below:

1. After a second, the ball hits the ground.

2. It bounces up to 5 feet in the next second.

3. The ball again hits the ground in the next second.

4. Now, the ball again jumps up to height 2.5 feet, when Taylor holds the ball for 2 seconds more.

So, we get the figure given below, we see that,

The graph is constant in the interval [4,6].

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3 years ago