All categories

2 years ago

Select the correct answer.

Mathematics

1 answer:

Lina20 [59]2 years ago

5 0

Based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

<h3 /><h3>What is congruency?</h3>

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle.

An included angle is found between two sides that are under consideration.

See image attached below that demonstrates two triangles that are congruent by the SAS Congruence Theorem.

Thus, two triangles having two pairs of corresponding sides and one pair of corresponding angles that are congruent to each other is not enough justification for proving that the two triangles are congruent based on the SAS Congruence Theorem.

The one pair of corresponding angles that are congruent MUST be "INCLUDED ANGLES".

Therefore, based on the SAS congruence criterion, the statement that best describes Angie's statement is:

Two triangles having two pairs of congruent sides and a pair of congruent angles do not necessarily meet the SAS congruence criterion, therefore Angie is incorrect.

Learn more about congruency at

brainly.com/question/14418374

#SPJ1

You might be interested in

Factor the polynomial by its greatest common monomial factor.

Gwar [14]

Answer: 3b^4(b+5-6b^3)

Step-by-step explanation:

6 0

3 years ago

Find the difference in length between a walking stick and a bumblebee PLS HELP HURRY

Tanya [424]

Difference between the lengths of walking stick and lengths of bumble bee is $3\frac{4}{8}$ inch.

Solution:

Given data represents the length of the insects.

Length of the walking stick = 4 in

Length of the bumble bee = $\frac{5}{8}$ in

Difference between their length

$$=4-\frac{5}{8}$

$$=\frac{4}{1} -\frac{5}{8}$

To make the denominator same, multiply and divide the first term by 8.

$$=\frac{32}{8} -\frac{5}{8}$

$$=\frac{32-5}{8}$

$$=\frac{27}{8}$

Now, change improper fraction into mixed fraction, we get

$$=3\frac{4}{8}$

Difference between the lengths of walking stick and lengths of bumble bee is $3\frac{4}{8}$ inch.

5 0

3 years ago

URGENT!!

Lapatulllka [165]

Answer:

f[g(4)] = 4

Step-by-step explanation:

Given table:

$\begin{array}{| c | c | c | c | c | c |}\cline{1-6} x & -6 & -4 & 1 & 3 & 4\\\cline{1-6} f(x) & 4 & -1 & -6 & 1 & 3 \\\cline{1-6} g(x) & 1 & 4 & 3 & -4 & -6 \\\cline{1-6}\end{array}$

f[g(4)] is a composite function.

When calculating <u>composite functions</u>, always work from inside the brackets out.

Begin with g(4): g(4) is the value of function g(x) when x = 4.

From inspection of the given table, g(4) = -6

Therefore, f[g(4)] = f(-6)

f(-6) is the value of function f(x) when x = -6.

From inspection of the given table, f(-6) = 4

Therefore, f[g(4)] = 4

3 0

2 years ago

Read 2 more answers

angelo rode his bike around a bike trail that was 1/4 of a mile long.he rode his bike around thetrail 8 times.Angelo says he rod

forsale [732]

Hi there!

From this problem we can pull out some key information and remove any excess.

- The trail is 1/4 of a mile long.
- Angelo rode around the trail 8 times.
- Angelo claims he rode 8/4 miles.
- Teresa claims he rode 2 miles.

From that we know that if Angelo rode around the trail 8 times and the trail is 1/4 a mile, he in total rode 8/4 of a mile.

However, Teresa claims he rode 2 miles!

And the answer is... they're both correct!

Angelo did indeed ride 8/4 miles however that is equivalent to 2 miles so they are both in the right.

7 0

3 years ago

If f(x)=5x0+4x-3 then f(a)=

Bingel [31]

Answer:

−1

Step-by-step explanation:

Let's solve for f.

y=5x^0+4x−3

Step 1: Flip the equation.

4x+2=y

Step 2: Add -2 to both sides.

4x+2+−2=y+−2

4x=y−2

Step 3: Divide both sides by 4.

y−2

−1

=f=

−1

<h3><em><u>brainliest please?</u></em></h3>

3 0

3 years ago