find the third side in simplest radical form.

Answer:

Step-by-step explanation:

1). ∠7 ≅ ∠ 2 (alternate exterior)

m∠7 = m∠2 = 30°

2). ∠4 and ∠1 are supplementary angles

m∠1 = 180° - 72° = 108°

Answer:

a) 3/2 or 1.5

b) 2/3 or ≈.66

Step-by-step explanation:

AB corresponds to DE because they are both the longest sides of their respective triangles.

a) The scale factor would be what you would multiply 8 by to get 12. 12/8 is 3/2 or 1.5

b) The scale factor would be what you multiply 12 by to get 8. 8/12 is 2/3 or ≈.66

Answer:

[tex]\mid x+3\mid\ge 2[/tex]

Step-by-step explanation:

Inequalities

The  solution for the inequality:

[tex]\mid x+a\mid\ge b[/tex]

Can be expressed as:

[tex]x+a\ge b[/tex]

OR:

[tex]x+a\le -b[/tex]

Subtracting a to both inequalities:

[tex]x\ge b-a[/tex]

[tex]x\le -b-a[/tex]

Comparing to the given solutions, we have:

[tex]b-a=-1[/tex]

[tex]-b-a=-5[/tex]

Adding both equations:

[tex]-2a=-6[/tex]

Solving:

a=3

b=2

Thus, the required inequality form is:

[tex]\mathbf{\mid x+3\mid\ge 2}[/tex]

Answer: 0.8

Step-by-step explanation:

Add a decimal point, and then add a zero to 8. Divide 8.0 ÷ 10. Your answer is 0.8 because 0.8 goes into 8 10 times. There is no remainder.

Hope it helps

lovelymoonlight

Answer:

Step-by-step explanation:

Given linear inequalities of the point (2,3)

So.

(X-2)(X-3)=0

x^2-2x-3x+6=0

x^2-5x+6=0

It's solutions is x^2-5x+6.

Answer:

$5.49 each

Step-by-step explanation:

32.94 divided by 6

28 to 42 means 28/42

We now reduce 28/42 to lowest terms.

28 ÷ 7 = 4

42 ÷ 7 = 6

We now have 4/6.

We now reduce 4/6.

4 ÷ 2 = 2

6 ÷ 2 = 3

Final answer: 2/3

Answer:

The 2-yard pièce of cotton cloth for $13.26

Step-by-step explanation:

2 yards is 6 feet then it would be $2.21 per foot.

The 17 foot piece would cost $3.29 per foot.

To answer this question, you need to determine which one has a lower price per unit.  In this scenario, you must divide the price of the cloths by their length in feet.

For the 2-yard piece of cotton cloth, first convert the length to feet.  There are three feet in a yard, so the cloth is 6 feet.  Then divide:

13.26/6=2.21

For the 17-foot piece of cotton cloth, simply divide:

55.93/17=3.29

The 2-yard piece of cotton cloth for $13.26 is the better buy because it has a lower unit price.

Hope this helps!!

Answer:

α β γ Sum of Interior Angles

75.96° 50.91 53.13° 180°

45° 126.87° 8.13° 180°

26.57° 135° 18.43° 180°

Step-by-step explanation: cause I did it

Answer:

S.A for Questions 1 and 2 for Edmentum and Plato

Like and Rate

Answer:

the empty boxes would both be 4

but it says only put the number one time in answer

so it would be 4

Step-by-step explanation:

Answer:

heb he hrhrjejenennsksksskskkskskjsjjee

Answer:

D

Step-by-step explanation:

I did the math on paper and I got d

Answer:

Step-by-step explanation:

f(-6)= 2(-6)= -12

Answer:

Step-by-step explanation:

2x=2(-6)= -12

Answer:

∠a=44,∠b=47, ∠c=89

Step-by-step explanation:

we can note that

∠a+∠b+∠c=180

hence,

3x+5+5x-18+7x-2=180

therefore,

3x+5x+7x+5-18-2=180

15x-15=180

15x=180+15

15x=195

x=[tex]\frac{195}{15}[/tex]

then, x=13.

with this values we can find all the angles:

∠a=3x+5 ⇒∠a=3(13)+5⇒∠a=39+5⇒∠a=44

∠b=5x-18⇒∠b=5(13)-18⇒∠b=65-18⇒∠b=47

∠c=7x-2⇒∠c=7(13)-2⇒91-2⇒∠c=89

We can corroborate these result by adding them.

∠a+∠b+∠c=

44+47+89=180

Thats right !!

Step-by-step explanation:

eog=90

27+3y=90

3y=63

y=21

aob=180

x+90+3x+18=180

x+3x+108=180

4x=180-108

4x=72

x=18

good luck dude

Answer: y= 21

x=18

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

...........................

Answer:

It will take 1,080 min or 18 hours

Step-by-step explanation:

Here is why, since 6600 miles is 12 times farther than 550 miles you'd multiply the time it took to go 550 miles by 12 too

Answer:

basically you're solving for x.

Step-by-step explanation:

x = 11/4 for exact form

in decimal form

x= 2.75

in mixed number form

x = 2 3/4

but in this case it's 2.75

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

Was right on the quiz

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

the first one is also right!!

Answer:

A

Step-by-step explanation:

the final answer after multiplying them all is 2ax^2, but since its a triangle you multiply that by 1/2 to get ax^2

Answer:

It is

X -6 -4 0 4 6

Y 8 6 2 -2 -4

Answer:

31.73

Step-by-step explanation:

[tex]3x^{2} +5y[/tex]

x = 2.1

y = 3.7

Substitute;

[tex]3(2.1)^{2} +5(3.7)=3(4.41)+18.5=13.23+18.5=31.73[/tex]

Answer:

$0.99

Unit rate is cost for 1 individual (song)

Step-by-step explanation:

$3.96/4

0.99

99 cents

Answer:

$5.25

Step-by-step explanation:

Answer:

Mean = 22

Variance = 13.1320

Standard Deviation = 3.6238

Step-by-step explanation:

From the question, we can deduce that

n = 55 (sample)

p = 39.4% (proportion of those within the given range)

Solving (a): Expected Value, E(x)

This is calculated using the following formula.

E(x) = np

Substitute values for n and p

E(x) = 55 * 39.4%

E(x) = 55 * 0.394

E(x) = 21.67

E(x) = 22 ---- Approximated

Hence, the expected number of people is 22

Solving (b): Variance (σ²) and Standard Deviation (σ)

σ² is calculated as thus:

σ² = np(1 - p)

σ² = 55 * 39.4% * (1 - 39.4%)

σ² = 55 * 0.394 * (1 - 0.394)

σ² = 55 * 0.394 * 0.606

σ² = 13.13202

σ² = 13.1320 ---- Approximated

σ is calculated as follows:

σ = √σ²

Substitute value for σ²

σ = √13.13

σ = 3.6238 ----- Approximated

Answer:

b+e= 180 degrees

Step-by-step explanation:

Because they are perpindicular

Answer:

Step-by-step explanation:

Answer:

Dan

Step-by-step explanation:

To figure out who ate the most, you can convert each fraction to decimal form. Whichever value is the largest belongs to the person who ate the most of a Snickers.

6/7 = 0.86

3/4 = 0.75

0.86 is bigger than 0.75, which means that Dan ate more of a Snickers.

Answer:

A 40•d

Step-by-step explanation:

The product of 40 and the distance (d)

40•d

B is division

C is subtraction

D is addition

The product of two numbers is multiplication, so the answer must be A