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Andre45 [30]
3 years ago
12

Triangle HIJ is dilated by a scale factor of 5 to form triangle H'I'J'. Side I'J' measures 75. What is the measure of side IJ?

Mathematics
1 answer:
love history [14]3 years ago
7 0

Answer:

15

Step-by-step explanation:

I'J' is IJ with the scale factor of 5.

so (IJ) × 5= (I'J)

(IJ) × 5= 75

75 ÷ 5= 15

I am so sorry i did the math wrong in my head, the answer is 15 not 16.

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Choose the correct simplification of (5x − 6)(2x2 − 3x − 6).
Likurg_2 [28]
(5x - 6)(2x^2 -3x - 6)

Use FOIL to help expand the expressions

First
Outer
Inner
Last

When we foil out the expression we get: 

5x*2x^2+(5x)(-3x)+(5x)(-6)+(-6)(2x^2)+(-6)(-3x)+(-6)(-6)

Now start multiplying the expression to get: 
10x^3-15x^2-30x-12x^2+18x+36

Combine like terms; Final answer: 
10x^3-27x^2-12x+36

so A 
3 0
3 years ago
A sign at the entrance to a bridge reads: Maximum allowable weight 2.25 tons Jason truck weighs 2150 pounds how much additional
Bezzdna [24]
Hi there!

First, we must know that 1 ton=2000 pounds 

2.25×2000=4500 pounds (maximum allowable weight)
4500-2150=2350

Therefore Jason can carry 2350 pounds more weight if he wanted to. 

Hope this helps!
8 0
3 years ago
You and a friend have dinner at a restaurant . Your meal costs $15.85 and you leave an 18% tip and your friend's meal cost $14.3
sammy [17]
1.54$ that’s the difference
7 0
4 years ago
HELP pls What is the equation for the line?<br><br><br><br> Enter your answer in the box.
FrozenT [24]

Answer:

y=8x

Step-by-step explanation:

To find the slope, or m, pick 2 points.

I chose (0, 0) and (2, 16)

The use the slope formula

16-0/2-0

16/2

8

to find the y-intercept, or b, find the point where the line crosses the y-axis, which is (0, 0). Take the y-coordinate, which is 0.

So,

y=8x+0

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8 0
3 years ago
Someone solve these equations with working really appreciate it
nignag [31]

Answer:

a) t = \sqrt{\frac{d}{4.9} }

b) t = 0.3 seconds

c) d = 4.9t²

d) d = 11 cm.

Step-by-step explanation:

One test involves catching a 1 m ruler and measuring the distance, d in meters, that the ruler will travel before being caught, the reaction time t in seconds is then calculated using the formula

t = \sqrt{\frac{2d}{9.8} } .......... (1)

a) the simplified expression is

t = \sqrt{\frac{d}{4.9} } ......... (2)

b) If d = 44 cm = 0.44 meters, from equation (2) we get,

t = 0.299 seconds ≈ 0.3 seconds (Approximate)

c) If we make d as the subject of the equation, then

t^{2} = \frac{d}{4.9}

⇒ d = 4.9t² .......... (3)

d) Now, if t =  \frac{0.3}{2} = 0.15 seconds, then from equation (3) we get,

d = 4.9 (0.15)² = 0.11 meters = 11 cm (Answer)

4 0
3 years ago
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