Directions: Solve for x. Round to the nearest tenth. 16" N 37​

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1)

Fact :: Reason

∠DCE = 90° :: sin ∠EDC = sin 30° = 1/2 = 8/16 = CE/DE

∠ACB = 90° :: ∠DCE and ∠ACB are vertical angles

∠ABC = 60° :: 180 - ∠CAB - ∠ACB = 60°

∠CED = 60° :: 180 - ∠EDC - ∠DCE = 60°

△CDE ⁓ △ABC :: Same angles (AAA)

2)

Let's solve for AB

sin 30° = 1/2

sin 30° = BC/AB = 15/AB

1/2 = 15/AB ⇒ AB = 30

AB = 30 in

Let's solve for AC (using another way)

AC/12 = 15/8

AC = 12 * 15 / 8   = 22.5

AC = 22.5 in

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Hope I could help you! If there was anything you didn't understand, don't be afraid to ask in the comments below!

Have a good day! (●'◡'●)

Answer:

Hey there!

15x-43+8x+18=90

23x-25=90

23x=115

x=5

RSQ=15(5)-43, or 32

TSQ=8x+18, or 58

Let me know if this helps :)

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

23+25=48

48÷8=6

Answer:

-5.7-4.2=-9.9 is answer

Answer:

I think the answer is C

Step-by-step explanation:

456÷12= 38

95÷38= 2.447 (about 2.5)

Answer:

67108864

Step-by-step explanation:

Simply multiply by -4 until its the 13th number.

Answer: DNE, no solution

Step-by-step explanation:

You cant take the even root of a negative number without introducing the imaginary number 'i'

Answer:

D

PLZ MARK AS BRAINLIEST

Answer:

A to the 4th power

Step-by-step explanation:

Answer:

Where the question?

Step-by-step explanation:

Answer: $2.50

Step-by-step explanation:

1.5$ per wing

I like chicken wings

Answer: 14 9/10 mins left

Step-by-step explanation: 9 7/10 + 5 2/5 five and two fifths=5 4/10 9+5=14

7/10+4/10=1 1/10 1 1/10+14=15 1/10 30-15 1/10=14 minutes and 54 seconds

Answer:8x+2

Step-by-step explanation:

Answer:

7 for $32.76

Step-by-step explanation:

23.60/5 is $4.72

32.76/7 is $4.68

Answer: $4.72

Step-by-step explanation:

To solve this problem we need to find the unit price of a bag of apples(one bag)

Thus, simply do 23.60/5 to get 4.72 and 32.76/7 to get 4.68.  Because 4.68 < 4.72, the orchard is a better deal.

Hope it helps <3 :D

Answer:

3.6 hours

Step-by-step explanation:

The computation of the number of hours will the battery last is given below:

Given that

The capacity of her battery is 2 by 5

And, it declines 1 by 9 for every hour

So,

[tex]= \frac{2}{5}\times \frac{9}{1}\\\\= \frac{18}{5}\\\\= 3\frac{3}{5}[/tex]

= 3.6 hours

Answer:

2f

Step-by-step explanation:

3f-2f+f | Given

1f + f | Subtract 3f and 2f

2f | Add 1f and 1f.

Answer:

The answer is 45i + 18

since i *i=-1

Answer:

each frisbee costs $1.19

Answer:

It should be $1.19 I hope this helps

Step-by-step explanation:

Answer:

y = -10x + 5 and y = 2/5x + 1

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

for your first problem, just plug in the m and b values to complete the equation.

1.) y = mx + b ⇒ y = -10x + 5

plug in -10 for x (slope) and 5 for b (y-intercept)

and for the second problem...

since you're given a value for slope as well as a coordinate pair, all you need to do is plug those values into the equation for their respective variables and then solve for b. (it doesn't matter what order you plug values in, but i'm going to fill them in in the order of the equation; y, m, and x)

1.) plug in -1 for y

y = mx + b ⇒ -1 = mx + b

2.) plug in 2/5 for m

-1 = mx + b ⇒ -1 = 2/5x + b

3.) plug in -5 for x

-1 = 2/5x + b ⇒ -1 = 2/5(-5) + b

now it's time to solve for b! start by multiplying 2/5 and -5.

-1 = 2/5(-5) + b ⇒ -1 = -2 + b

add 2 to both sides of the equation. on the right side, it cancels itself out. on the left side, adding 2 to -1 gives you 1.

and you're left with 1 = b! :)

therefore, y = 2/5x + 1

i hope this helps! have a great day <3

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = [tex]\frac{(n-2)\times 180}{n}[/tex]

Here, n = number of sides of the polygon

Therefore, measure of the interior angles of a regular hexagon,

A = [tex]\frac{(6-2)\times 180}{6}[/tex]

A = 120°

Similarly, interior angle of the regular pentagon,

B = [tex]\frac{(5-2)\times 180}{5}[/tex]

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

        = 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

D = [tex]\frac{(8-2)\times 180}{8}[/tex]

D = 135°

m∠C ≠ m∠D

Therefore, 3 tiles will not fit together.

Answer: it’s 8/10, 3/5, 3/4, 1/2

Step-by-step explanation:1/2 is greater than the other numbers

Answer:

1/2, 3/5, 3/4, 8/10

Step-by-step explanation:

1/2 in decimal form is 0.5

3/5 in decimal form is 0.6

3/4 in decimal from is 0.75

8/10 in decimal form is 0.8

Answer:

what graph

Step-by-step explanation:

Answer:

21.9°

Step-by-step explanation:

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet. Find the measure of ∠H to the nearest tenth of a degree.

We solve this above question using the Sine rule

a/sin A = b/sin B

In ΔHIJ, the measure of ∠J=90°, HI = 8 feet, and JH = 1.9 feet.

Hence:

HI/∠J = JH/∠H

= 8/sin 90° = 1.9/sin ∠H

Cross Multiply

∠H = arc sin(sin 1.9 × 90/8)

∠H = 21.9°

Answer:

5(4) = 20

5 + 5 = 10

2(1.5) = 3

8 + 5 = 13

Step-by-step explanation: