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3 years ago

What else would need to be congruent to show that ABC XYZ by ASA?

Mathematics

2 answers:

Naddik [55]3 years ago

8 0

Answer: The correct option is (D) AC ≅ XZ.

Step-by-step explanation: Given that in ΔABC and ΔXYZ, ∠X ≅ ∠A and ∠Z ≅ ∠C.

We are to select the correct condition that we will need to show that the triangles ABC and XYZ are congruent to each other by ASA rule..

ASA Congruence Theorem: Two triangles are said to be congruent if two angles and the side lying between them of one triangle are congruent to the corresponding two angles and the side between them of the second triangle.

In ΔABC, side between ∠A and ∠C is AC,

in ΔXYZ, side between ∠X and ∠Z is XZ.

Therefore, for the triangles to be congruent by ASA rule, we must have AC ≅ XZ.

Thus, (D) is the correct option.

docker41 [41]3 years ago

5 0

Side XZ needs to be congruent to side AC. The answer is D.

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a state charges an 8.5% sales tax and a 10% excise tax on gasoline. he purchased $25 of gasoline before tax. How should he find

Mama L [17]

Answer:

The total money spend on total tax of purchase is $4.625

Step-by-step explanation:

Given as :

The percentage of sales tax applied on gasoline purchase = 8.5%

The percentage of excise tax applied on gasoline purchase = 10%

The price of gasoline before tax = $25

Let The total money on total tax of purchase = $x

Now, Total percentage of tax = sales tax percentage + excise tax percentage

i.e Total percentage of tax = 8.5% + 10%

Or, Total percentage of tax = 18.5%

Again

total money on total tax of purchase = $25 of total total tax percentage

Or, x = $25 × 18.5%

Or, x = $25 × $\dfrac{18.5}{100}$

Or, x = $25 × 0.185

∴ x = $4.625

So,The total money on total tax of purchase = x = $4.625

Hence,The total money spend on total tax of purchase is $4.625 Answer

4 0

3 years ago

There are 110 students on a bus filled with 129 people. What is the ratio of students to teachers?

Sunny_sXe [5.5K]

Answer:

110 : 19

students : teachers

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7 0

2 years ago

50 students went to Verona. 23 were boys. What percentage were giris?

FrozenT [24]

Answer:

54 percent

Step-by-step explanation:

23 over 50 is .54

5 0

3 years ago

Read 2 more answers

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masha68 [24]

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3 0

4 years ago

Graph the line with slope 1/2 passing through the point (5, - 1)

True [87]

Answer:

The equation is y = (1/2)x + - 3.5

Step-by-step explanation:

We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.

We're given the slope, (1/2) which we can use for m:

y = (1/2)x + b

We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:

x = 5, and y= -1

y = (1/2)x + b

-1 = (1/2)*5 + b

-1 = (2.5) + b

- 3.5 = b

The equation is y = (1/2)x + - 3.5

See the attached image.

7 0

1 year ago