All categories

3 years ago

3. Which pair of triangles can be proved congruent by SAS?

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

Answer: (3) The correction option is 2. (4) The correct option is 3.

Explanation:

(3)

The congruent rule SAS states that the two triangles are congruent if the two side and its inclined angle are equal to the corresponding sides and angle of other triangle.

In option 2 the base line contains the two equal parts. A line is perpendicular to the baseline, it means it makes 90 degree angle on both sides. The perpendicular line is common in both triangles.

So, only the option second represents the pair of triangles which are congruent by SAS.

(4)

The congruent rule SSS states that the two triangles are congruent if the three sides are equal to the corresponding sides of other triangle.

In option 3, it is given that the two side of both triangle are same to the corresponding sides of the triangle. The third side is common in both triangles.

So, only option third represents the pair of triangles which are congruent by SSS.

Eddi Din [679]3 years ago

5 0

I just got this question and the answer is B. You're welcome.

You might be interested in

What is the 10th term in the increasing pattern shown?<br><br> 1, 1, 2, 3, 5, 8, 13

Vika [28.1K]

Answer:

Step-by-step explanation:

(after the first "1") You need to add the previous two numbers together to get the next number in the pattern.

7 0

2 years ago

(X^3+1)dividend (x-1)

bazaltina [42]

$x^3=x\cdot x^2$ and $x^2(x-1)=x^3-x^2$ . So we have a remainder of

$(x^3+1)-(x^3-x^2)=x^2+1$

$x^2=x\cdot x$ and $x(x-1)=x^2-x$ . Subtracting this from the previous remainder gives a new remainder

$(x^2+1)-(x^2-x)=x+1$

$x=x\cdot1$ and $1(x-1)=x-1$ . Subtracting this from the previous remainder gives a new one of

$(x+1)-(x-1)=2$

and we're done since 2 does not divide $x$ . So we have

$\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}$

4 0

3 years ago

A flower store sells carnations for $18.50 per dozen. The sales tax is 6%. Part A: How much is the sales tax on a dozen carnatio

myrzilka [38]

Part A.

*To find the sales tax (6%) amount: $18.50 x .06 = $1.11 is the sales tax on a dozen carnations

Part B.

*To find the total cost of a dozen carnations plus the sales tax: $18.50 + $1.11 = $19.61 this is the total cost

8 0

3 years ago

the sum of four consecutive integers is 2174. what are the integers? (continuation) the smallest of four consecutive integers is

timofeeve [1]

The smallest of the four numbers is x.
Since the four numbers are consecutive, this means that each number is one more than the previous.
Therefore, the four numbers are:
x
x + 1
x+1 + 1 = x+2
x+2 + 1 = x+3

Now, we are given that the sum (s) of the four numbers is 2174
This means that:
s = x+x+1+x+2+x+3
s = 4x + 6

We are given that s = 2174. Substitute with s in the above equation and solve for x as follows:
2174 = 4x + 6
4x = 2174 - 6
4x = 2168
x = 2168 / 4
x = 542

Based on the above calculations, the four numbers are:
542, 543, 544 and 555

7 0

3 years ago

Read 2 more answers

3x + 4y = 12<br> x + 2y = 10

borishaifa [10]

Answer:

x=-8 and y=9

Step-by-step explanation:

rewrite the equations to x+2y=10,3x+4y=12

sub 2y from both sides x+2y-2y=10-2y

substitue x=10-2y in 3x +4y=12

3(-2y+10)+4y=12

distribute

add-30 to both sides

divide both sides by -2

y=9

sustitute 9 for y in -2y+10=x

x=-8

7 0

3 years ago