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2 years ago

Based only on the information given in the diagram, it is guaranteed that ABC XYZ

Mathematics

2 answers:

serious [3.7K]2 years ago

5 0

This statement is true

Scilla [17]2 years ago

3 0

Answer:

Statement is true.

Step-by-step explanation:

The given triangles ΔABC and ΔXYZ will be similar if the two angles of these triangles are equal Or all sides of both the triangles are equal Or two corresponding sides and the angle between these lines are same.

Here in ΔABC

∠ACB = 52°

∠ABC = 90°

Then we can find the third angle ∠CAB = 180°-(∠ACB+∠ABC)

= 180 - (52+90)

= 180 - 142

= 38°

Similarly in ΔXYZ, ∠YXZ = 38°, ∠XYZ = 90°

Then ∠YZX = 180-(∠YXZ+∠XYZ)

= 180-(90+38) = 180-128 = 52°

Now we can say that in two triangles

∠ACB = ∠YZX =52°

∠CAB = ∠YXZ = 38°

Therefore These triangle are similar and the statement is true.

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Ellen thinks that if a line has no slope, then it never touches the y-axis. Which line proves that her statement is incorrect?

galina1969 [7]

Answer:

Option D

Step-by-step explanation:

A horizontal line has no slope. The equation 'y=1' graphs as a horizontal line. It passes (0,1). So, it touches the y-axis.

A line with an undefined slope does not touch the y-axis. It is vertical.

Option D should be the correct answer.

4 0

2 years ago

40% of OatyPop cereal boxes contain a prize. Hanna plans to keep buying cereal until she gets a prize. What is the probability t

lesantik [10]

Answer:

keep track of how many tries it takes before you see a 1,2,3 or 4. These represent the number of purchases it will take to get a prize. Repeat this 150 times, option b

4 0

2 years ago

Read 2 more answers

Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in

nydimaria [60]

Answer:

$50$

Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

Step-by-step explanation:

So he wants to keep his consumption of carbs between the inequalities:

$110$

So, let's solve both inequalities.

$110$

Subtract 10 from both sides:

$100$

Divide both sides by 2:

$50$

$2x+10$

Subtract 10 from both sides:

$2x$

Divide both sides by 2:

$x$

So, our inequality is now:

$110$

Since we solved the equations:

$50$

Written as a compound inequality, this is:

$50$

In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.

So, Ryan's total carb intake must be between 50 and 150 carbs.

4 0

2 years ago

Read 2 more answers

Lindsay and menonhave 1,240 stickers.menon has 4 times as many stickers as Lindsay.menon decides to have 6 stickers on each page

Lemur [1.5K]

a) Menon has 992 stickers. We can find this by writing an algebraic expression for the number of stickers, with x being the number that Lindsay has. This gives us:

x + 4x = 1240

5x = 1240

x = 248

Now we multiply 248 by 4 to get 992.

b) There are 2 stickers left over. First we have to divide 992 by 6, which gives us 165 as a whole number, but then a remainder of 2. That means that there are two stickers left.

c) Menon needs 4 more stickers, as 6 - 2 = 4, and there are 6 stickers per page.

I hope this helps! Let me know if you have any questions :)

5 0

2 years ago

A 10-sided fair die, a 20-sided fair die, and a 12-sided fair dice are rolled. What is the probability of all three happening: S

Murrr4er [49]

Answer:

0.5%

Step-by-step explanation:

The number of faces of each die what it indicates is the total number of events.

On the first die, it has 10 sides and an 8 must come out, that is, 1 event out of 10 possible, therefore the probability is:

1/10

On the second die, which has 20 sides, 19 or 20 can come out, that is 2 events out of 20 possible, so the probability is:

2/20

And on the third die, which is 12 sides, they tell us that an odd number can come out, the odd numbers would be 1, 3, 5, 7, 9, 11; that is, 6 events out of 12 possible, the probability would be:

6/12

Now the final probability would be the product of all:

(1/10) * (2/20) * (6/12) = 0.005

In other words, the probability of this happening is 0.5%

8 0

2 years ago