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vaieri [72.5K]
3 years ago
12

The triangles shown in the graph are congruent. Based on the graph, determine which congruency statement is correct.

Mathematics
2 answers:
slava [35]3 years ago
8 0

Answer: answer is A

Step-by-step explanation:

Because

Pavel [41]3 years ago
3 0

Answer: A) ΔXYZ ≅ ΔPQR

Step-by-step explanation: Correct on Edge

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X2 - 12x -6=0<br> Complete the square
ValentinkaMS [17]

Answer:

(x - 6)^2 = 42

Step-by-step explanation:

Using " ^ " to indicate exponentiation, we have:

x^2 - 12x -6=0

Here the coefficients of this quadratic equation are a = 1, b = -12 and c = -6.

Start by taking HALF of the coefficient of x, that is, HALF of -12.  We get -6.

Next, square this result:  (-6)^2 = 36.

Finally, add this 36 to both sides, obtaining:

x^2 - 12x + 36 - 6 = 36

Rewriting the first three terms, we get:

(x - 6)^2 - 6 = 36, or

(x - 6)^2 = 42   This is the end result to "completing the square."

If you want to go further and actually solve for x, then see below:

Taking the square root of both sides, we get

x - 6 = ±√42

Then x = 6 ± √42, or

x = 6 + √42 and

x = 6 - √42

8 0
2 years ago
A​ salesperson's ratio of successful signups to the number of people called is 0.625. This​ month, the salesperson had 125 signu
stellarik [79]

Answer:

The salesperson called 200 people this month.

Step-by-step explanation:

Let us denote the total people that the salesperson called by a variable "x".

Then,

The ratio of successful signups(success ratio) is given as=0.625

Then total no. of successful signups is the product of the success rate and the total no. of signups ,

i.e. Total successful signups = 0.625*x

According to the data given in the question,

The total no. of successful signups this month =125

or , 0.625*x= 125

or,  x=\frac{125}{0.625}

   ∴x= 200

So, the salesperson called 200 people, out of which only 125 signed up.

4 0
3 years ago
A cube has a surface area of 24 units2. Find the length of the side. Remember, the formula for surface area of a cube is SA = 6s
LUCKY_DIMON [66]

Answer: 4

there are six sides on a cube. all sides/edges are equal so 6 sides times 4 units = 24.

3 0
2 years ago
Find the average rate of change for the given function from x = −2 to x = 1. Graph of f of x equals x minus 5
Nataliya [291]
Average rate of change=slope

f(x)=x-5
f(x) could be subsitututed  with y so
y=x-5
this is in y=mx+b form where m=slope and b=y-intercept
y=1x-5
slope=1
average rate of change=1/1
if x=-2 then
y=-2-5
y=-7

if x=1 then
y=1-5
y=-4


the graph of y=x-5 is included in the attachment

3 0
2 years ago
Read 2 more answers
Trevor paints 1/6 of a fence surrounding his farm each day how many days will it take him to paint 3/4of the fence
natali 33 [55]
4 1/2 days. I first made the fractions have an equal denominator(24). Then make the numerator equal up. (1/6 to 4/24) (3/4 to 18/24). Then, I counted (by 4/24) until I got to 18/24.
6 0
2 years ago
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