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Tasya [4]
3 years ago
11

Mhanifa please help fast! I will mark brainliest!

Mathematics
2 answers:
Mama L [17]3 years ago
8 0

Answer:

1.33

Step-by-step explanation:

if you re-arrange the position of the first triangle and divide the

corresponding sides you'll get 1.33

aalyn [17]3 years ago
6 0

Answer:

<u>The scale factor is the ratio of corresponding sides:</u>

  • k = 44.25/59
  • k = 0.75

Correct choice is D

---------------------------------------

<h3>Question 11</h3>

Angles B with A are complementary, so as angles F with D

15 + 75 = 90

The triangles <u>are similar </u>by AA

---------------------------------------

<h3>Question 10</h3>

<u>The missing angle E:</u>

  • m∠E = 180° - (44° + 30°) = 106°

<u>The corresponding angle B is not congruent with E:</u>

  • 106° ≠ 116°

The triangles <u>are not similar</u>

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konstantin123 [22]

Answer:

1.  10 square yards

2.  $9.10

3.  36 girls

4.  20 cherries

5.  159 bracelets

Step-by-step explanation:

1.

The area of this figure would be the area of the SQUARE minus the area of the RECTANGLE (taken out).

The middle part is taken out (this is a rectangle).

View this as a square with sides 4 by 4 with a rectangle portion taken out. So the area can be said as:

Area = Area of Whole Square - Area of Middle Rectangle Taken Out

Lets calculate:

Area of Whole Square:

side * side = 4 * 4 = 16

Now,

Area of Middle Rectangle Taken Out:

Length * Width

The length is given as 3

The width would be 4 - two 1 from two sides, that is 4 - 1 - 1 = 2

So, area = 3 * 2 = 6

Area of figure = 16 - 6 = 10 square yards

2.

We have to find 20% of the bill.

The bill was 45.50 and we have to find 20% of 45.50.

We first convert percentage to decimal by dividing by 100:

20% = 20/100 = 0.20

Now we multiply this decimal with the bill to get our desired answer:

0.20 * 45.50 = $9.10

The tip is $9.10

3.

The ratio of boys (b) to girls (g) would be 2 is to 3.

There are 24 boys.

We can set up a ratio (fraction) with boys on top and girls on bottom.

Then we equate it with actual number of boys and girls (let it be g). So the ratio set-up would be:

\frac{2}{3}=\frac{24}{g}

To solve for g, the number of girls, we have to cross multiply and use algebra to solve. The process is shown below:

\frac{2}{3}=\frac{24}{g}\\2*g = 24*3\\2g=72\\g=\frac{72}{2}\\g=36

There are 36 girls in sixth grade

4.

For every "9" lemon, there are "4" cherries.

There are 45 lemons

If we think of "9" lemons as a "box", how many boxes of lemons are there?

45/9 = 5

Similarly, there would be "5" boxes of cherries. But there are "4" cherries per box. So there are:

4 * 5 = 20 cherries

We can also set up a ratio of cherry to lemon as 4 is to 9 and equate it with actual cherries (let it be "c") and lemons (45). Cross multiply and use algebra to solve for cherries ("c"). Algebra process shown below:

\frac{Cherries}{Lemons}=\frac{4}{9}=\frac{c}{45}\\9*c=4*45\\9c=180\\c=\frac{180}{9}\\c=20

See, we have the same answer, 20 cherries!

5.

Number sold total = 14 + 27 + 45 = 86

She still has 73 in her stock

So, she basically started with whatever she now has (73) and whatever she has sold the 3 days (86), that would be:

73 + 86 = 159 bracelets

Tia started with 159 bracelets

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