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Kitty [74]
2 years ago
13

Find the values of x and y that make these triangles congruent by the HL Theorem.

Mathematics
1 answer:
Ymorist [56]2 years ago
8 0
Can you please post a picture of the figure? I don’t see anything
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3x^2+42x+105=0 Find the solution<br><br>  <br>  <br> 0<br> 0
Nina [5.8K]

Step-by-step explanation:

I think we have to find the factors so

3x2 + 42x + 105

First we will multiply 105 by 3 = 315 then find factors of 315 which may add or subtract = 42

So 45 and 7

3x2 + 45x - 7x + 105

3x( x + 15) - 7(x - 15)

(3x - 7) and ( x - 15) are the factors

There is a problem please recheck the question

6 0
3 years ago
John mows 6 lawns a week and makes 90 dollars. If he made 270 dollars how many lawns did he mow??? Please help im really struggl
tangare [24]

Answer:

Step-by-step explanation:

90 × 3=270 dollars

6×3= 18 lawns

7 0
3 years ago
Explain why if a runner completes a 6.2â-mi race in 32 âmin, then he must have been running at exactly 11 âmi/hr at least twice
MA_775_DIABLO [31]

Answer:

Accelerating to top speed, deaccelerating to finish line.

Step-by-step explanation:

If the runner kept a constant speed of 11 mph for the whole duration of his run (32 minutes), the distance he would have covered is:

d=11*\frac{32}{60}\\d= 5.87\ mi

This means that, in order to run the full 6.2 miles, the runner needs to reach a speed over 11 mph. Assume he starts from rest, while accelerating the runner reaches, and the surpasses, the 11 mph mark. Since his speed at the finish line is zero, the runner has to deaccelerate from his current running speed (which should be higher than 11 mph), passing through 11 mph and reaching zero at the finish line.

3 0
3 years ago
The dimensions of a triangular prism are shown.
Serhud [2]

9514 1404 393

Answer:

  B.  32 square inches

Step-by-step explanation:

Each of the two triangular faces has an area of ...

  A = (1/2)bh = (1//2)(6 in)(4 in) = 12 in²

The lateral surface area is the product of the prism height (0.5 in) and the perimeter of the base.

  LA = (0.5 in)(5 in +5 in + 6 in) = 8 in²

So, the total area is the area of the two base and the lateral area:

  SA = 2A +LA

  SA = 2(12 in²) +8 in² = 32 in²

The surface area of the prism is 32 square inches.

7 0
3 years ago
Read 2 more answers
Answer the questions below about the quadratic function.
Korolek [52]

Given the function f(x)=3x^2-18x+23. The above function can be written as

f(x)=3x^2-18x+23\\ f(x)=3(x^2-6x)+23\\ f(x)=3(x^2-6x+9-9)+23\\ f(x)=3(x-3)^2-27+23\\ f(x)=3(x-3)^2-4

a)Now, the function f(x)=3(x-3)^2-4 has minimum value since the coefficient of (x-3)^2 is 3>0.

b) The minimum value of the function occurs at x=3 and its value is

f(3)=3(3-3)^2-4 =-4

c)The minimum value of the function occurs at x=3.

6 0
3 years ago
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