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4 years ago

What additional information is needed to show the triangles are congruent by the given property?

Mathematics

1 answer:

Dovator [93]4 years ago

7 0

* = correct answer(s)

1) A, Mismatched congruent parts, wouldn't work
*B, it would make the triangles congruent through Angle Angle Side (AAS)
*C, it would make the triangles congruent through Side Angle Side (SAS)
D, Mismatched congruent parts, wouldn't work

2)A, that's Side Side Angle SSA, which doesn't make a triangle congruent
B, that's Side Side Angle (SSA) which doesn't make a triangle congruent
C, Mismatched congruent parts, wouldn't work
*D, it would make the triangles congruent through Side Side Side (SSS)

3)A, Mismatched congruent parts, wouldn't work
B, that's Side Side Angle (SSA) which doesn't make a triangle congruent
*C, it would make the triangle congruent through Angle Side Angle (ASA)
D, those angles are on one triangle

4)A, those angles are on one triangle
*B, it would make the triangles congruent through Side Angle Side (SAS)
C, those angles are on one triangle
D, that's Side Side Angle (SSA) which doesn't make a triangle congruent

5)A, Mismatched congruent parts, wouldn't work
B, that's Side Side Angle (SSA) which doesn't make a triangle congruent
C, that's Side Side Angle (SSA) which doesn't make a triangle congruent
*D, it would make the triangles congruent through Side Angle Side (SAS

6)A, that's Side Side Angle (SSA) which doesn't make a triangle congruent
*B, Depending on where you start, it could make the triangles congruent through Angle Side Angle (ASA) or Side Angle Side (SAS)
C, They're already congruent in the diagram. That's Side Side Angle (SSA) which doesn't make a triangle congruent

7)*A, it would make the triangle congruent through Angle Angle Side (AAS)
B, that's Side Side Angle SSA which doesn't make a triangle congruent
C, the angles are on the same triangle
D, Mismatched congruent parts, wouldn't work

8)A, Mismatched congruent parts, wouldn't work
B, The sides are on the same triangle
*C, it would make the triangles congruent through Side Side Side (SSS)
D, that's Side Side Angle (SSA) which doesn't make a triangle congruent

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$\frac{ - 1}{ - \frac{1}{2} } = 2$
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4 years ago

Kasey and Jordan are counting calories while eating lunch in the school cafeteria. In one week, Kasey had

malfutka [58]

Answer:

Jordan got 222 calories from pizza

Step-by-step explanation:

Given:

slices of pizza ate by Kasey =10

cups of fruit salad by Kasey= 5

slices of pizza ate by Jordan = 6

cups of fruit salad by Jordan= 7

Kasey's calorie count = 3070

Jordan calorie count = 2522

To Find:

calories Jordan got from pizza =?

Solution:

Let the calorie of one slice of pizza be x

and the calorie of one cup of fruit salad be y

According to the question, the equation that represents the Kasey's Scenario is

10x + 5y = 3070-------------------------------------(1)

Similarly the equation that represents the Jordan Scenario is

6x + 7y = 2522--------------------------------------(2)

multiply eq(1) by 6 we get

60x + 30y = 18420---------------------------------(3)

multiply eq(2) by 10 we get,

60x + 70y = 25220----------------------------------(4)

Subtracting eq (3) from (4) we get

60x + 70y = 25220

60x + 30y = 18420

(-) (-) (-)

-----------------------------------

0x + 40y = 6800

---------------------------------

=>40 y = 6800

=>y = $\frac{6800}{40}$

=> y = 170

So calorie of one cup fruit salad is = 170 calories

substituting the y values in eq 1 we get

10x + 5(170) = 3070

10x + 850 = 3070

10x = 3070 - 850

10x = 2220

x = $\frac{2220}{10}$

x= 222

So calorie of one pizza slice = 222 calories

Now we know that Jordan ate 6 slices of pizza

calories Jordan get from pizza = number of pizza he ate X calore per pizza slice

=> 6 x 222

=>1332 calories

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There are 60 feet between the bases on a softball diamond. How far does a catcher throw drone home plate to second base

mixas84 [53]

Answer: $12\sqrt{5}$

Required theorem:

Pythagorean theorem = $a^2 + b^2=c^2$

In other words, one side length squared + another side length squared = the middle lined squared.

Step-by-step explanation:

$60^2+60^2 = c^2\\\\360+360=c^2\\\\720=c^2\\\\\ \sqrt{c^2} =\sqrt{720}\\\\c=+/- 12\sqrt{5}$

We can only have a positive distance so your final answer is :

$12\sqrt{5}$

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