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3 years ago

What other information do you need to prove INF=CAT by the ASA postulate

Mathematics

2 answers:

Doss [256]3 years ago

5 0

Answer:

(D) NI≅AC

Step-by-step explanation:

From the given information, it is given that in ΔINF and ΔCAT, CA=FN and ∠CAT=∠FIN.

Therefore, from ΔINF and ΔCAT

∠ACT=∠NIF (given)

CA=NI (given)

∠CAT=∠INF

thus, by ASa rule of congruency,

ΔINF ≅ ΔCAT

Hence, CA=NI is the additional information which can be needed to prove the triangles are congruent.

Hence, option D is correct.

Simora [160]3 years ago

4 0

D. NI = AC is the needed information to prove ΔINF = ΔCAT by the ASA Postulate.

For the triangles to be congruent by ASA, the measurements of two angles and one side must be proven congruent. Since two sets of congruent angles are already given, one side must also be congruent.
When proving congruency using ASA, the congruent parts of the triangles must be in this order: Angle, Side, Angle. So, you have to the side that is between the two sets of congruent angles.

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A company that manufactures car seats completes quality control tests per government regulations. The quality

solmaris [256]

Answer: It is D.

The population is 100% of the car seats and the sample is 20% of the car seats.

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3 years ago

decide if the following change is an increase or decrease. then determine the percent of change. senior citizen receive a 10% di

BARSIC [14]

The oldster got a discount, so the original price is higher; let's call it x;

$(1 - 0.10) x = 12.60$

$.9 x = 12.60$

$x = 12.60/0.9 = 14.00$

Answer: $14.00

8 0

3 years ago

Solve this system of linear equations. separate x and y values with a comma. 7x=-67-11y 5x=-73-11y

Aleks [24]

Answer:

3, -8

(x is equal to 3 and y is equal to -8)

Step-by-step explanation:

The system:

{ 7x=-67-11y

{ 5x=-73-11y

Finding a value for x:

7x=-67-11y -> x = $-\frac{67}{7}$ - $\frac{11y}{7}$

Solving for y by plugging in our x:

[Equation] 5x = -73 -11y

[Plug-in] 5( $-\frac{67}{7}$ - $\frac{11y}{7}$ ) = -73 -11y

[Distribute the 5] $-\frac{335}{7}$ - $\frac{55y}{7}$ = -73 -11y

[Multiply by 7] 7 ( $-\frac{335}{7}$ - $\frac{55y}{7}$ ) = (-73 -11y) 7

[Simplify] -335 - 55y = -511 - 77y

[Add 335 and 77y to both sides] 22y = -176

[Divide by 22] y = -8

Plug in our y to solve for x:

5x = -73 -11y

5x = -73 -11(-8)

5x = -73 + 88

5x = 15

x = 3

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

5 0

3 years ago

What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)

olya-2409 [2.1K]

Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but 2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.

6 0

3 years ago

Read 2 more answers

In December, the average total rainfall in all the deserts together is 0.89 mm. Explain how to use the fiqures from the table to

maw [93]

I know this is late but I can still help answer this....

So we know that in December all the deserts altogether had 0.89 mm of rainfall. Now the chart that you have seems to represent the rainfall in August, so we would need to use addition.
0.19 + 0.17 + 0.1 + 0.24 = 0.70 mm
The rainfall altogether would be 0.70 mm in August. Now we compare the difference, we would need to subtract 0.89 mm (December) with 0.70 mm (August).
0.89 - 0.70 = 0.19 mm
There the difference between the two would be 0.19 mm.

Hope this helps!

6 0

3 years ago