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Amiraneli [1.4K]
2 years ago
15

I need to find what AE is

Mathematics
2 answers:
Svetlanka [38]2 years ago
8 0

Answer:

18

Step-by-step explanation:

The arrows on lines AB and CD indicate that these 2 shapes are similar and these 2 lines are corresponding so :

Linear scale factor :

12 ÷ 10 = 1.2 or 6/5

Let's use the fraction form

Using the linear scale factor we can make an equation to solve for x :

2x+4 = 6/5(x+8)

Expand the brackets :

2x+4 = 6/5x + 9.6

Subtract 4 from both sides :

2x = 6/5x + 5.6

Subtract 6/5x from both sides :

4/5x = 5.6

Divide both sides by 4/5 :

x = 7

Now substitute this value into the expression for the length of AE :

AE = 2(7) + 4

AE = 14 + 4

AE = 18

Hope this helped and have a good day

Kaylis [27]2 years ago
5 0

Answer:

116 units

Step-by-step explanation:

AE + ED = 180 because they make a straight angle and a straight angle is 180 degrees or half of a circle 360/2.

AE = 2x + 4 and ED = x +8 added together they equal 180

2x + 4 + x + 8 = 180  Combine the like terms

3x + 12 = 180  Subtract 12 from both sides of the equation

3x = 168  Divide both sides by 3

x = 56

Now that we know that x is 56 we can plug that in for AE to find its length

2x + 4

2(56) + 4

112 + 4

116

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In an isosceles triangle, the vertex angle is 112 degrees. What is the measure of each base.
jeka94

Answer:

A

Step-by-step explanation:

The base angles of an isosceles triangle are congruent

The sum of the 3 angles in a triangle = 180°, hence

180° - 112° = 68°

base angle = \frac{68}{2} = 34°

Thus each base angle equals 34° → A




8 0
3 years ago
(a) How many integers from 1 through 1,000 are multiples of 2 or multiples of 9?
DENIUS [597]

Answer:

(a)There are 500 integers from 1 through 1,000 are multiples of 2.

There are 111 integers from 1 through 1,000 are multiples of 9.

(b)0.611

Step-by-step explanation:

Given the set of Integers from 1 through 1000

The least multiple of 2 is 2 and the highest multiple of 2 in the interval is 1000.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 2,4,6,... is an Arithmetic Progression,

where first term, a =2, common difference, d =2

Nth term of an A.P,

U_n= a+(n-1)d\\1000=2+2(n-1)\\1000=2+2n-2\\1000=2n\\n=500

  • There are 500 integers from 1 through 1,000 are multiples of 2.

Similarly,

Given the set of Integers from 1 through 1000

The least multiple of 9 is 9 and the highest multiple of 9 in the interval is 999.

To determine the number of terms, we use the formula for the nth term of an Arithmetic Progression, since 9,18,27,... is an Arithmetic Progression,

where first term, a =9, common difference, d =9

Nth term of an A.P,

U_n= a+(n-1)d\\999=9+9(n-1)\\999=9+9n-9\\999=9n\\n=111

  • There are 111 integers from 1 through 1,000 are multiples of 9.

(b)Probability that an integer selected at random is a multiple of 2 or a multiple of 9.

There are a total of 1000 numbers between from 1 through 1,000

n(S)=1000

n(Multiples of 2)=500

n(Multiples of 9)=111

Therefore:

P(\text{Multiples of 9}) \:OR\: P(\text{Multiples of 2})=\frac{111}{1000} + \frac{500}{1000} \\=\frac{611}{1000} \\=0.611

7 0
3 years ago
16.2 Jumping Rope
slava [35]

Answer:

Percentage of Diego's time is 75%.

Step-by-step explanation:

Given : Jumping Rope  hool held a jump-roping contest. Diego jumped rope for 20 minutes.  A school held a jur  Jada jumped rope  for 15 minutes.

To find : What percentage of Diego's time is that?​

Solution :

Diego jumped rope for 20 minutes.

Jada jumped rope for 15 minutes.

Percentage of Diego's time is given by,

\text{Percentage change}=\frac{\text{Jada time}}{\text{Diego time}}\times 100

\text{Percentage change}=\frac{15}{20}\times 100

\text{Percentage change}=75\%

Therefore, percentage of Diego's time is 75%.

7 0
3 years ago
PLEASE HELP If You Are not SURE please don't answer PLEASE show work and steps
Ivanshal [37]
63+12x<15
12x<-48 (subtract 63 from both sides)
x<-4 (divide out the 12)
8 0
3 years ago
Read 2 more answers
What is the measure of the arc from A to B that does not pass through C?
elixir [45]

Answer:

a

Step-by-step explanation:

8 0
3 years ago
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