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elena-s [515]
3 years ago
15

I start school in a couple days and I’m really struggling with this summer homework.. I’m not sure if I’m doing it the right way

Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

You have the right concept for problem #1 but made an error.

x = -x + 2

2x = 2 (added "x" to both sides ---<em>this is where you made the error</em>)

x = 1 (divided both sides by 2)


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The longest side of a triangle is eight more units than the shortest side . The third side is three times the length of the shor
inysia [295]

Answer:

shortest side= x

longest side= x+8

other side= 3x

x+x+8+3x= 33

5x+8=33

5x= 25

x= 5

shortest side= x= 5

longest side= x+8= 5+8= 13

other side= 3x= 3(5)=15

Step-by-step explanation:

8 0
3 years ago
Scores from an exam are normally distributed with a mean of 85 and a standard deviation of 5. Suppose 188 students take the exam
charle [14.2K]

The mean is \mu=85 and standard deviation is \sigma=5. Then the variable X\sim N(85,5).

Use substitution Z=\dfrac{X-\mu}{\sigma}=\dfrac{X-85}{5}, then the variable Z\sim N(0,1).

The probability Pr(X>80) can be calculated in the following way:

for X=80, Z=\dfrac{80-85}{5} =-1 and Pr(X>80)=Pr(Z>-1). From the diagram Pr(Z>-1)=0.34+0.34+0.135+0.025=0.84.

Conclusion: if 188 students take the exam, then 188·0.84=157.92 (157) would receive a score above 80

4 0
4 years ago
Read 2 more answers
Answer ASAP, Will give brainliest
erastova [34]

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

\frac{(a+b)*h}{2}\\\\  = 120

\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

                             

7 0
3 years ago
if you have 200 ¨toys¨ and your 2 brother stills 40 each and your mom throws away 90 how many ¨toys¨ do you have left
Y_Kistochka [10]

Answer:

you have 30 left

Step-by-step explanation: use a calculator bruh

5 0
4 years ago
Read 2 more answers
What is the complete factorization of the polynomial below?<br> x3 + 2x2 + 4x + 8
telo118 [61]

Answer:

i think its D

sry if im wrong

step-by-step explanation:

5 0
3 years ago
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