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miv72 [106K]
3 years ago
10

What additional information would you need to prove that ΔABC ≅ ΔDEF by SAS?

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
D.segment bc segment ef
quester [9]3 years ago
7 0

Answer: d. d. segment BC ≅ segment EF

Step-by-step explanation:

The SAS Postulate says that if two sides and the included angle of one triangle are congruent to the corresponding two sides and the included angle of another triangle, then the triangles are said to be congruent.

In the given figure , we have two triangles ΔABC and ΔDEF in which

∠B≅∠E

segment AB ≅segment ED.

According to the SAS postulate, the additional information would be needed to prove that ΔABC ≅ ΔDEF will be : segment BC ≅ segment EF

∵ ∠B is the included angle between segment BC and segment AB and ∠E is the included angle between segment EF and segment ED.

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Given f (x) = 3x² – 7x + 1, what is f(-3)?
Law Incorporation [45]

Answer:

49

Step-by-step explanation:

f(-3)= 3(-3)² - 7(-3) + 1

= 3(9) - (-21) + 1

= 27 + 21 + 1

=49

notes: negative × negative = positive

7 0
3 years ago
You pay 5.65% on the first 110,000 of income and 1.45% in excess of $110,000. Calculate the FICA tax for an employee who earns 6
Y_Kistochka [10]

Answer:

The FICA tax for an employee who earns 60,000 a year is $ 3,390.

Step-by-step explanation:

Given that you pay 5.65% on the first 110,000 of income and 1.45% in excess of $ 110,000, to calculate the FICA tax for an employee who earns 60,000 a year the following calculation must be performed:

60,000 <110,000

60,000 x 0.0565 = X

3,390 = X

Therefore, the FICA tax for an employee who earns 60,000 a year is $ 3,390.

7 0
3 years ago
The Area of the circles
NNADVOKAT [17]

Answer:

254.4 in²

Step-by-step explanation:

Area of a circle is given by the formula:

\pi r^{2}

Our radius is 9 so we substitute this into the equation:

π(9)² = 81π

81π = 254.4 in²

6 0
2 years ago
Read 2 more answers
27. Jacob collects hats. He has 6 hats already and collects 2
Alex_Xolod [135]
It’ll take 13 weeks.
7 0
3 years ago
50 points!!
snow_lady [41]

Answer:

(x-8) (x+7)

Step-by-step explanation:

x^2 -x-56

We want to factor this problem.

What two numbers multiply to negative 56 and add to -1

-8 *7 = -56

-8+7 = -1

We can use -8 and 7

(x-8) (x+7)

Check:

FOIL

first: x*x =x^2

outer: 7x

inner:-8x

last: -8*7 = -56

Add this together

x^2 +7x-8x -56 = x^2 -x-56

3 0
3 years ago
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