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2 months ago

Assume that TUV=WXY which of the following congruence statements are correct

Mathematics

2 answers:

Zina [12.3K]2 months ago

7 0

Answer:

The correct options are A and E.

Step-by-step explanation:

We are presented with two congruent triangles.

When two triangles are congruent, their corresponding sides and angles are identical.

In ΔTUV ≅ ΔWXY

We can now list all matching sides and angles:

∠T=∠W
∠U=∠X
∠V=∠Y
TU≅WX
UV≅XY
TV≅WY

Next, we evaluate all the provided options.

∠Y=∠V (TRUE, as this is a corresponding part of the congruent triangles)

∠W=∠T (TRUE, as this also refers to a corresponding part of the congruent triangles)

Thus, A and E are the correct options.

zzz [12.3K]2 months ago

4 0

Your correct responses should be A and E.

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Response:

$9*10^{12}km$

Step-by-step explanation:

$9,460,730,472,580.8 km$

To calculate 5% of our number, we start by multiplying by 0.05

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Next, by adding and subtracting this 5% from our original number, we can find the minimum and maximum possible values of our final answer in the specified range.

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We can ascertain that $9*10^{12}$ fits within the acceptable range, as:

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$9*10^{12}km$

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1 month ago

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Leticia invests $200 at 5% interest. If y represents the amount of money after x time periods, which describes the graph of the

Leona [12618]

Answer:

First, it's essential to define the equation that characterizes the function.

The investment is $200 with an interest rate of 5%, where y represents the money after x periods.

After one period, the amount of money grows to 200 plus 5% interest, resulting in 200 + 5%(200) = 200 (1 +5%) = 200 (1 + 0.05) = 200 (1.05)

After two periods, the total is 200(1.05)*(1.05) = 200 (1.05)^2

After three periods, it will be 200 (1.05)^3

Consequently, it can be inferred that after x periods, y = 200 (1.05)^x

Next, this function can be analyzed to project the graph's shape and significant points.

The answers derive from the initial value and the growth factor.

The initial value occurs when x = 0, giving y = 200 (1.05)^0 = 200*1 = 200

The growth factor is 1.05, indicating each subsequent value is multiplied by 1.05.

Step-by-step explanation:

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1 month ago

Translate to an algebraic expression n−1 increased by 110%

tester [12383]

Answer:

Part 1) The algebraic expression can be represented as $1.10(n-1)$ or $1.10n-1.10$

Part 2) The algebraic expression is represented as $\frac{1.10}{n}$

Step-by-step explanation:

Part 1) The expression (n-1) raised by 110%

Recognizing that

110%=110/100=1.10

thus,

The algebraic representation of (n-1) increased by 110% translates to 1.10 multiplied by (n-1).

$1.10(n-1)$

Expanded

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Part 2) The expression n^(-1) raised by 110%

<pGiven that

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therefore, the representation of n^(-1) increased by 110% becomes 1.10 multiplied by n^(-1).

Remember that

$n^{-1}=\frac{1}{n}$

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$1.10(n^{-1})=1.10\frac{1}{n}=\frac{1.10}{n}$

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