are the triangles in the given figure congruent?

Answer:

[tex]\boxed{\boxed {\sf 3. \ 9.4}}[/tex]

Step-by-step explanation:

First, recall the three basic right triangle trigonometry ratios.

Theta (θ) represents the angle. The angle (other than the right angle) is 70 degrees.

We are also given 2 sides: 10 and x.

Since we have the opposite and hypotenuse, we must use sine.

[tex]sin (\Theta)= \frac{opposite}{hypotenuse}}[/tex]

The angle is 70 degrees, the opposite is x, and the hypotenuse is 10.

[tex]sin(70)=\frac{x}{10}[/tex]

We are solving for x. We must isolate x on one side of the equation.

Currently, x is being divided by 10. To "undo" the division, we must perform the inverse operation, which is multiplication. Multiply both sides of the equation by 10.

[tex]10*sin(70)=\frac{x}{10}*10[/tex]

[tex]10*sin(70)=x[/tex]

[tex]10*0.939692621=x[/tex]

[tex]9.39692621=x[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round the 3 up to a 4.

[tex]9.4 \approx x[/tex]

x is about 9.4

Answer:

Answer:

48.7 I think

Step-by-step explanation:

hears the sender buddy

Answer:

48.5 the 7 is close to 10 so it rounds the 4 to 5

Answer:

y = -x + 2

Step-by-step explanation:

Find the slope with rise over run:

(y2 - y1) / (x2 - x1)

(0 - 4) / (2 + 2)

-4 / 4

= -1

Find the y intercept by plugging in the slope and a point:

y = mx + b

4 = -1(-2) + b

4 = 2 + b

2 = b

Plug in the slope and y intercept:

y = -x + 2

So, the correct answer is y = -x + 2

Answer:

7x + 6 = 55; x=7

Step-by-step explanation:

"six more than" -> +6

"product of seven and a number" -> 7x

7x + 6 = 55

7x = 55 - 6

7x = 49

x=7

Answer:

6+7x=55, x=7

Step-by-step explanation:

7x=55-6

7x=49

x=7

Answer:

22) x - 46 = 74

23) 20 portions

Step-by-step explanation:

21)

Let x = the number of cars Sara sold.

Jerry sold 46 cars fewer than Sara, so Jerry sold x - 46 cars.

Jerry sold 74 cars, so the equation is

x - 46 = 74

Answer: x - 46 = 74

22)

Let the number of 1/3 lb portions = x

The weight of x number of 1/3-lb portions is 1/3 * x, or simply x/3.

The full bag weighs 6 2/3 lb.

The equation is

x/3 = 6 2/3

Now we solve for x.

x/3 = 20/3

Multiply both sides by 3.

x = 20

Answer: 20 portions

Answer:

let 's' = Sara's amount

let 's-46' = Jerry's amount

equation:  s - 46 = 74

s = 120

Step-by-step explanation:

2nd question:  [tex]\frac{20}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{20}{3}[/tex]· [tex]\frac{3}{1}[/tex] = 20

Answer:

Assuming that 126 is expressed in miles (mi), the answer is 72 miles per hour.

Step-by-step explanation:

Speed is calculated using the following formula: distance/time.

Knowing that he travels 126 miles in 1 hour and 45 minutes, we obtain 126 miles divided by 1.75 = 72 mph.

Answer:

Johnson Middle School held a track and field event during the school year. Miguel took part in a four-person shot put team. Shot put is a track and field event where athletes throw (or "put") a heavy sphere, called a "shot," as far as possible.

Step-by-step explanation:

PLZZ MARK BRAINLIEST!!!!!

Answer:

10 1/2

Step-by-step explanation:

Answer:

5/9

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Answer:

the first option

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

multiply 3/5 by 20

Answer:

60%

since 100/100 is 100%, we just have to find a number that will make the denominator 5 equal to 100. That is 20 so we multiply 20 for both 3 and 5. This equals to 60/100, which is 60%

I really don't know this I'm so sorry

Answer:

14

Step-by-step explanation:

Well, a right triangle has a total of 90 degrees, if the hypotenuse is 22, and leg b is 54, then the remaining leg a would have to be 14.

Answer:

k = -2

Step-by-step explanation:

-5 + 7k = -19

7k = -14

k = -2

Answer:

Itd be 3 becaus 24/8 is 3

Answer:

x = 77 and x > 38

Step-by-step explanation:

Sum of all angles in a triangle is 180.

The angle PNO will hence be:

180 - 38 - 39 = 103 degrees.

The angle PNO + angle x = 180 degrees (straight line)

So 103 + x = 180, therefore x = 180 - 103 = 77.

Which is also greater than 38, so x > 38 is also correct.

The solution is : x = 77 and x > 38

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

Sum of all angles in a triangle is 180.

The angle PNO will hence be:

180 - 38 - 39 = 103 degrees.

The angle PNO + angle x = 180 degrees (straight line)

So 103 + x = 180,

therefore x = 180 - 103 = 77.

Which is also greater than 38,

so x > 38 is also correct.

To learn more on angle click:

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Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

Answer:

5th grade mean - 4.67

7th grade mean - 3.46

5th-grade median - 5

7th-grade median - 3.5

Answer:

LOL i don't even know

Step-by-step explanation:

Answer:

63

Step-by-step explanation you just killed my brainmeats

Answer:

b. 24

Step-by-step explanation:

Hope this is right!

Answer: 1593 us gallons

Step-by-step explanation: HOPE THIS HELPS!!

Answer:

[tex] y = -\frac{1}{2}x + 4 [/tex]

Step-by-step explanation:

The equation of the line can be written in slope-intercept form, as y = mx + b.

We need to find the slope (m) and the y-intercept (b) of the line, then plug their values into the slope-intercept equation, to find the equation of the line shown.

y-intercept (b) = the point where the line intercepts the y-axis = 4

Using two points on the line, say, (0, 4) and (2, 3):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 4}{2 - 0} = \frac{-1}{2} = -\frac{1}{2} [/tex]

m = -½.

Substitute m = -½, and b = 4 into y = mx + b.

The equation of the line would be:

[tex] y = -\frac{1}{2}x + 4 [/tex]

Answer:

28 dollars per ticket

Step-by-step explanation:

just divide 420 by 15 to get 28

Answer:

14) b)  P(B/A) = 0.50

15) P(A or B) = 0.7

Step-by-step explanation:

14)

Given P(A) = 0.4 and P(B) = 0.5 and P(A and B) = 0.2

Conditional probability of B given that A

[tex]P(\frac{B}{A} ) = \frac{P(AnB)}{P(A)} = \frac{0.2}{0.4} = 0.50[/tex]

15)

By using Addition theorem on probability

P( A ∪ B) = P(A) + P(B) - P(A∩B)

               = 0.4 +0.5 - 0.2

P( A ∪ B) =0.7

Answer:

x = 12

Step-by-step explanation:

10x = 120                 original equation

10x/10 = 120/10       divide both sides by 10

x = 12                       simplify

Check work:

10(12) = 120

120 = 120 (true)

Answer:

x = 12

Check:

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

10x = 120

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

10 x x (ten times x) = 120

10 x 12 = 120

OR

10^x = 120

10^12 = 120

x = 12

Answer: The sun supplies the energy (radiation) that drives the water cycle.

Step-by-step explanation:

Option A is wrong because the Sun does not evenly heat up the Earth. The Earth is spherical so the sun heats up some areas more than others.

Option B is wrong as well because the sun does not affect the land and the water the same way.

Option C is correct because radiation from the sun is what causes evaporation in the water cycle.

Option D is wrong because as shown in the first option, the sun does not evenly heat up the Earth.

Answer: 4.1 gallons to 8.3 gallons

Step-by-step explanation:

just took the quiz

99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

The missing options are:

We have:

A study has shown that the daily amount of milk produced by a dairy cow is normally distributed, with a mean of 6.2 gallons and a standard deviation of 0.7 gallons.

The mean = 6.2 gallons

Standard deviation = 0.7 gallons

The range can be calculated:

Lower range = 6.2 - 0.7 = 5.5 gallons

Upper range = 6.2 + 0.7 = 6.9 gallons

Thus, 99.7% of the cows will produce an amount of milk in the range is 5.5 gallons to 6.9 gallons option (A) is correct.

Learn more about the normal distribution here:

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Answer:

Great question

Step-by-step explanation:

Where is it :p