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ivolga24 [154]
3 years ago
13

PLEASE HELP ME!

Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

If 450 is 1/4 of the amount that Henry has, you can find Henry’s amount by multiplying 450 • 4 which gives you an answer of 1800

Or, if you’re looking for a more complicated way, which I doubt, you can set up the problem as:

1/4x=450 and solve by dividing 450 by 1/4

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Jenna drew irregular quadrilateral ABCD inscribed in circle P. She knows that: m∠3=2⋅m∠1, and m∠2=2⋅m∠4, and m∠2+m∠3=360°. What
Mrrafil [7]

Answer:

The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

Step-by-step explanation:

We are given the following from what she knows

m∠3=2⋅m∠1... 1

m∠2=2⋅m∠4 ... 2

m∠2+m∠3=360 ... 3

From what is given, we can substitute equation 1 and 2 into equation 3 as shown:

From 3:

m∠2+m∠3=360

Substituting 1 and 2 we will have:

2⋅m∠4 + 2⋅m∠1 = 360

Factor out 2 from the left hand side of the equation

2(m∠4+m∠1) = 360

Divide both sides by 2

2(m∠4+m∠1)/2 = 360/2

m∠4+m∠1 = 180°

Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

7 0
3 years ago
The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in sever
AlekseyPX

Answer:

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Step-by-step explanation:

8 0
3 years ago
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Consider 4x +12 < 28. which value of x makes the given inquality TRUE? A) 3 B) 6 C) 7 D) 10
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Answer:

A

Step-by-step explanation:

4(3)+12=24, which is less than 28, so the inequality would be true

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AnnyKZ [126]

Step-by-step explanation:

Total area of merged figure = area of vertical rectangle + area of horizontal rectangle.

\therefore \: 3x(2x - 7) + (3x + 4)x = 85 \\  \\  \therefore \: 6 {x}^{2}  - 21x+ 3 {x}^{2}  + 4x = 85 \\  \\ \therefore \: 6 {x}^{2}  + 3 {x}^{2} - 21x + 4x  - 85 = 0 \\  \\ \huge \red {\boxed {\therefore \: 9 {x}^{2}  - 17x  - 85 = 0}} \\ hence \: proved.

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3 years ago
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Which of the following uses the Distributive Property to determine the product 12(185) Question 6 options: a) 12(100) + 12(13) b
MariettaO [177]

Answer:

d) 12(100) + 12(80) + 12(5)

Step-by-step explanation:

According to the distributive property, if a,b, c, and d are real numbers, then

a(b+c+d)=ab+ac+ad

We want to find the product 12(185).

We can expand 185 as 100+80+5

Our product then becomes;

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We expand using the distributive property to get;

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The correct choice is D

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