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fredd [130]
3 years ago
12

Please answer the following chooses correctly.Each choose is true or false.

Mathematics
1 answer:
Mama L [17]3 years ago
8 0

Answer:

1) True

2) False

3) False

4) True

Step-by-step explanation:

1) True

Anything over 100% is larger than the original.

2) False

Since it is 225% bigger, you multiply 4 by 2.25.

4 x 2.25 = 9

3) False

If it is 225% larger, it means that it is 2.25 times larger

4) True

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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de
dmitriy555 [2]
We have that
triangle ABC coordinates
A (0,2)  B(2,4)  C(0,0)

triangle DEF coordinates 
D (2,0)  E ( 4,4)  F (4,2)

using a graph tool
see the attached figure

therefore

Line 1<span> Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE 
</span>so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

<span>Line 2 ∠A ≅ ∠F------> is correct
</span>
<span>Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83
</span>
find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

<span>Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47
</span>
find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

<span>Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
</span><span>the student make the first mistake in line 5</span><span>

</span>

6 0
3 years ago
By selling a watch in Rs 150 and Rs 200 loss and profit are happened
Travka [436]

Answer:

Rs 175

Step-by-step explanation:

Suppose the cost is x and at Rs150 the loss is 150-x (this should be a negative number).

At Rs200, the profit is 200-x.

So we have an equation: minus 150 minus x is equal to 200 minus x.

To solve the equation, the cost price X is Rs175.

3 0
3 years ago
Find the slope of each line. PLS HELP TYSMMMM!
umka2103 [35]

Answer:

Step-by-step explanation:

1. (-4, -2) (4, 0)

   (0 + 2)/(4 + 4)= 2/8= 1/4

2. (-1, 2) (1, -3) = (-3 - 2)/(1 + 1) = -5/2

3. (-2, 3) (0, 0) = (0 - 3)/(0 + 2) = -3/2

4. (1, 1) (3,2) = (2 - 1)/(3 - 1)= 1/2

4 0
2 years ago
Please Help ASAP with Math
vampirchik [111]

Answer:

5.33

Step-by-step explanation:

move the 4 out of the summation because  just a constant multiplier

4 *sum from 1 to 10 for (1/4)^(n-1)   [sorry i don't know how to write sums using latex)

The formula for the geometric sum is :

First term*(1-multiplier^n)/(1-multiplier), formally \frac{a_1(1-r^n)}{1-r}

Here multiplier is 1/4

First term is (1/4)^(1-1) = 1

Thus the value of sum is 1*(1-(1/4)^1^0)/(1-1/4)which equals (1- (1/4)^1^0)*4/3

We factored out 4 so its 4*(1-(1/4)^1^0)*4/3 which is 16/3 * (1- (1/4)^1^0)

This equals 5.333328247 which is 5.33 to the nearest hundredth

5 0
2 years ago
Johnson family took a trip in July. The son wanted to calculate the gas mileage in miles per gallon for his Nissan truck. When h
Nitella [24]

Step-by-step explanation:

Given data

initial mileage=24,033 miles.

cost to fill tank=$83.38

cost per gallon= $3.79

1. capacity of tank=83.38/3.79=22 gallons

remianing gas= 1/4*22= 5.5gal

gas used= 22-5.5= 16.5gal

new mileage= 24,297 miles.

mile covered= 24,297 miles.-24,033 miles.

=264miles

miles per gallon is =264/16.5

=16miles per gallon

8 0
3 years ago
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