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2 years ago

Name the corresponding part if RST WXY. ∠ T =

Mathematics

2 answers:

dedylja [7]2 years ago

8 0

The answer to the corresponding part is <Y

Elza [17]2 years ago

6 0

Answer with explanation:

It is given that , two triangles

Either→ ΔR ST ≅ ΔW X Y or ΔR ST ~ ΔW X Y.

That is two triangles are either similar or congruent.

So, if two triangles are congruent , their corresponding parts ,that is angles and sides are congruent.

Also, if two triangles are Similar, then their corresponding angles are equal , and corresponding sides are proportional.

So, corresponding part of ,∠T is ∠Y whether the triangle is congruent or similar.

∠ T = ∠Y

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Which equation has only one solution?

notka56 [123]

Absolute value cannot be less than 0
Solve Absolute Value.|x−5|=−1No solutions.

|−6−2x|=8
x=−7 or x=1

|5x+10|=10
x=0 or x=−4

|−6x+3|=0
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So your answer is D) |–6x + 3| = 0

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1 year ago

In a recent survey, the proportion of adults who indicated mystery as their favorite type of book was 0.325. Two simulations wil

Virty [35]

Answer:

C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

Step-by-step explanation:

The center for Simulation A and Simulation B will be roughly equal.

Overall Sample size of Simulation A = 1500 * 100 = 150000

Overall Sample size of Simulation B = 2000 * 50 = 100000

Since the sample size for Simulation A is greater, the variability of Simulation will be less.

Therefore, The answer is C) The centers will roughly be equal, and the variability of simulation A will be less than the variability of simulation B.

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1 year ago

A town has a population of 14,000 and grows 5% every year. What will be the population after 14 years, to the nearest whole numb

hammer [34]

Answer:

23,800 people

Step-by-step explanation:

what is 5 % of 14,000- 700( 0.05 times 14,000)

700 times 14 is 9,800

9800 + 14000 is

0 0

2 years ago

Two cross sections of a right hexagonal pyramid are obtained by cutting the pyramid with planes parallel to the hexagonal base.

Tanya [424]

Answer:

The larger cross section is 24 meters away from the apex.

Step-by-step explanation:

The cross section of a right hexagonal pyramid is a hexagon; therefore, let us first get some things clear about a hexagon.

The length of the side of the hexagon is equal to the radius of the circle that inscribes it.

The area is

$A=\frac{3\sqrt{3} }{2} r^2$

Where $r$ is the radius of the inscribing circle (or the length of side of the hexagon).

Now we are given the areas of the two cross sections of the right hexagonal pyramid: $A_1=216\:ft^2\: \:\:\:A_2=486\:ft^2$

From these areas we find the radius of the hexagons:

$r_1=\sqrt{\frac{2A_1}{3\sqrt{3} } } =\sqrt{\frac{2*216}{3\sqrt{3} } }=\boxed{9.12ft}$

$r_2=\sqrt{\frac{2A_2}{3\sqrt{3} } } =\sqrt{\frac{2*486}{3\sqrt{3} } }=\boxed{13.68ft}$

Now when we look at the right hexagonal pyramid from the sides ( as shown in the figure attached ), we see that $r_1$ $r_2$ form similar triangles with length $H$

Therefore we have:

$\frac{H-8}{r_1} =\frac{H}{r_2}$

We put in the numerical values of $r_1$ , $r_2$ and solve for $H$ :

$\boxed{H=\frac{8r_2}{r_2-r_1} =\frac{8*13.677}{13.68-9.12} =24\:feet.}$

8 0

1 year ago

Write two expressions where the solution is 41

Bogdan [553]

Two consecutive numbers can be defined as x and y, but a better choice is x and x+1. . The product of the two numbers is: x(x+1). We are told this 41 more than the sum. The sum of the two numbers is: x + (x+1). . So the equation we need to solve is: . x(x+1) = x+(x+1)+41 . x^2 +x = 2x + 42 . subtract 2x from both sides . x^2 +x -2x = 2x-2x + 42 x^2 -x = 42 . subtract 42 from both sides . x^2 -x -42 = 42-42 = 0

6 0

1 year ago