All categories

3 years ago

Which criterion can be used to prove ABC and ADC are congruent?

Mathematics

2 answers:

Darya [45]3 years ago

6 0

Answer:

D. ASA

Step-by-step explanation:

In triangles ABC and ADC,

Angles BCA and DAC are congruent (from the diagram);
Angles BAC and DCA are congruent (from the diagram);
AC is congruent AC (by reflexive property).

So, the triangles ABC and CDA are congruent by ASA postulate.

ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

faltersainse [42]3 years ago

6 0

Answer:

c. ASA

Step-by-step explanation:

You might be interested in

Factoring polynomials HELP please step by step for extra points!

jok3333 [9.3K]

First you multiply the last term by the first term (3h+16h+15). Then find numbers that add to 16 and multiply to 15 then add or subtract it from (3h+15)(3h+1). Then factor if possible (h+5)(3h+1)

8 0

2 years ago

Find the right quotient. 36m 5 n 5 ÷ (12m 3)

polet [3.4K]

ANSWER

The right quotient is

$3 {m}^{2} {n}^{5}$

EXPLANATION

The given expression is :

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} }$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = \frac{36}{12} \times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3\times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$

Recall that,

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
We apply this property to obtain;

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 \times {m}^{5 - 3} \times {n}^{5}$

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 {m}^{2} {n}^{5}$

5 0

2 years ago

Read 2 more answers

Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.

-BARSIC- [3]

Answer:

y=q(x-r)+p

Step-by-step explanation:

y-y1=m(x-x1)

y-p=q(x-r)

y=qx-qr+p

y=q(x-r)+p

8 0

3 years ago

A sign at a store reads "3 notebooks for $6". What is the price per note book

mojhsa [17]

$2 per notebook would be the correct answer

3 0

3 years ago

Read 2 more answers

The US standard can is 4.83 inches high, 2.13 inches in diameter at the lid, and 2.60 inches in diameter at the widest point of

rewona [7]

The first thing we must do for this case is to calculate the volume of the can using the largest diameter:
V = pi * ((d / 2) ^ 2) * (h)
Where,
h: height
d: diameter.
Calculating we have:
V = pi * ((2.60 / 2) ^ 2) * (4.83) = 25.64 in ^ 3
Then, to determine the amount of liquid in millimeters, we can use a simple rule of three:
1 in ^ 3 ---> 16.3891 milliliters
25.64 in ^ 3 ---> x
Clearing x we have:
x = ((25.64) / (1)) * (16.3891) = 420.22 mm
answer
The amount of liquid that has been bottled in milliliters is 420.22 mm

4 0

3 years ago