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3 years ago

Please help me asap!!!

Mathematics

1 answer:

wariber [46]3 years ago

5 0

Answer:

B) AD=30m

Step-by-step explanation:

AG:AD=2:3

Given AG=20m

Then;

$20:AD=2:3$

Rewrite as ratio to get;

$\frac{20}{AD}=\frac{2}{3}$

Cross multiply;

$2|AD|=3\times 20$

$2|AD|=60$

Divide through by 2;

$|AD|=30$

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Prove the following statement.

gayaneshka [121]

Answer:

You can prove this statement as follows:

Step-by-step explanation:

An odd integer is a number of the form $2k+1$ where $k\in \mathbb{Z}$ . Consider the following cases.

Case 1. If $k$ is even we have: $(2k+1)^{2}=(2(2s)+1)^{2}=(4s+1)^{2}=16s^2+8s+1=8(2s^2+s)+1$ .

If we denote by $m=2s^2+2$ we have that $(2k+1)^{2}=8m+1$ .

Case 2. if $k$ is odd we have: $(2k+1)^{2}=(2(2s+1)+1)^{2}=(4s+3)^{2}=16s^2+24s+9=16s^{2}+24s+8+1=8(2s^{2}+3s+1)+1$ .

If we denote by $m=2s^{2}+24s+1$ we have that $(2k+1)^{2}=8m+1$

This result says that the remainder when we divide the square of any odd integer by 8 is 1.

6 0

3 years ago

3. E, F and G are collinear points. E is between F and G.

nikdorinn [45]

Answer:

Step-by-step explanation:

Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.

If E is between F and G, the FE+EG = FG

EG = FG - FE

Given FE = 3 in and FG = 7 in

On substituting into the expression above to get EG;

EG = 7in - 3in

EG = 4in

Hence the length of EG is 4in

5 0

3 years ago

Select all TRUE statements : A - Dilation always increase the length of shapes or line segments. B- Dilations of an angle are co

timurjin [86]

Hi!

A is FALSE - If you shrink a shape, it is not increased a shape, yet it is still dilating.

B is TRUE - When you dilate an angle, you're really just shortening or lengthening the sides, but the angle isn't changing.

C is FALSE - Explained above.

D is FALSE - Two triangles that are congruent are exactly the same, therefore if you dilate a triangle, you are changing the size so they are not the same.

E is TRUE - Similar shapes are always the same except for their size. When you dilate a shape, you only change the size, therefore they are equal in every other way and they are similar.

6 0

2 years ago

Stefan sells Jin a bicycle for $137 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy

MatroZZZ [7]

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

$\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110$

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

4 0

3 years ago

Which logarithmic equation is equivalent to the exponential equation below? E^a=28.37

Alex_Xolod [135]

1. To solve this problem, it is important to know that the logarithmic functions and the exponential functions are inverse. Then, you have:

e^a=28.37
 a=ln(28.37)

2. Therefore: Which logarithmic equation is equivalent to the exponential equation e^a=28.37? As you can see, the answer for this question is:

a=ln(28.37)

7 0

3 years ago

Read 2 more answers