The triangles shown below must be congruent.?

True or false

Answer:

x ≈ 2.8

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan26° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CD}{DE}[/tex] = [tex]\frac{x}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × tan26° = x , then

x ≈ 2.8 ( to the nearest tenth )

Answer:

2.8

Step-by-step explanation:

1. c = a · sin(C) / sin(A)  

This is the equation to find x. Let's see what we have.

c = x

a = 5.7

C = 26

A = ?

Let's find A. We know B is 90 and C is 26.  Triangle Sum Theorem time!

2. 180 = 90 + 26 + A

180 = 116 + A

64 = A

A = 64

We found A. Let's see what we have now!

c = x

a = 5.7

C = 26

A = 64

Let's solve the equation now.

3. x = 5.7 · sin26 / sin64

Let's use a calcalator to find the answer.

4. 2.78008 =  5.7 · sin26 / sin64

5.7 · sin26 / sin64 =  2.78008

We should round this to the nearest tenth. 7 is in the tenth place. Though 8 is behind 7. 8 is greater than 4 which means 7 must be rounded up.

5. 2.8 is the answer.

Answer:

X+2Y=7 and 4X+8Y=19

Step-by-step explanation:

Step 1: Write the equations in the form y=mx+c, where m represents the gradient.

In this case, gradient is equal to -0.5

Step 2: Now fix arbitrary values on the equation, y=mx+c while maintaining the value of m as - 0.5

You can make endless equations

Answer:

81

Step-by-step explanation:

Any number, wether it is negative or postive, will always be postive when there is a even exponent.

In this case, we have a -9, and a exponent thats 2.

Since 2 is a even number, -9^2 will be a postive value.

Now, what is the actual value of this?

Well, a exponent of 2 basiclly means 2 numbers being multiplied together.

Or in this case, 2 negative 9s being multiplied together.

THis will be:

-9*-9

=

As I said above, a even exponent makes a negative number postive.

You see here that a negative 9 is being multiplied by -9. When two negative numbers multiply together, they make a postive.

THis is why a even exponent makes a postive.

Hope this helps!

Answer:

2.8 square inches

Step-by-step explanation:

Area of the triangle PQR = 1/2 rp sin <Q

Given

r = 9in

p = 6.6in

<Q =6°

Substitute into the formula;

Area of the triangle PQR = 1/2 * 9 * 6 sin6°

Area of the triangle PQR = 9 * 3 sin6°

Area of the triangle PQR  = 27 sin6°

Area of the triangle PQR = 27(0.1045)

Area of the triangle PQR = 2.82

Hence the area to the nearest 10th of a square inch is 2.8 square inches

Answer:

3.104 which is equal to 3.1 it your answer.

Step-by-step explanation:

I did it on DeltaMath

Answer:

4.375

Step-by-step explanation:

s=1/t

s=k/t

0.5=k/7

k=7x0.5=3.5

s=3.5/0.8

s=4.375

The general formula for the total surface area of a right prism is T. S. A. =ph+2B where p represents the perimeter of the base, h the height of the prism and B the area of the base.

Answer:

Its a

Step-by-step explanation:

3*3 =9

4*4 =16

5*5 =36

Answer:

A. y=x^2

Step-by-step explanation:

A. y=x^2

when x=0 and y=o

0=0^2

0=0(true)

when x=1 and y=1

1=1^2

1=1 (true)

when x=3 and y=9

9=3^2

9=9 (true)

Step-by-step explanation:

hakdogg happyly ever after

Answer:

x = -3

Step-by-step explanation:

Okay, the first thing to do is get that 8 away from the fraction. How can we do it? When you have 2³ you have 8, is the same thing, so let's do it:

2³⁰/(2³)⁹ = 2^x

When you have a number with the shape (a^x)^y, you can write it as a^(x•y), so:

(2³)⁹ = 2^3•9 = 2²⁷

Now we have:

2³⁰/2²⁷ = 2^x

When you have a division like this: (a^x)/(a^y), you can write it as a^(x-y), so:

2^(30-27) = 2^x

2^-3 = 2^x

Now you know that x = -3

Answer:

2 and 3

Step-by-step explanation:

Let us start by representing the first consecutive number with x. In a similar sense, the next consecutive number would be x+1. According to the given question, we can write the following equation:

[tex]x+x+1=3x-1[/tex]

Solving for the equation by isolating the term containing x, we have:

[tex]2x+1=3x-1\\2x+2=3x\\\fbox{x=2}[/tex]

Since we have designated x as the first consecutive integer, the other integer we are looking for is x+1, or [tex]\fbox{3}[/tex] .

I hope this helps! Let me know if you have any questionss :)

Answer:

Mean: 52.8

Median:52

Mode:54

Step-by-step explanation:

Mean: 54+48+37+55+51+54+42+52+53=476

476/9=52.8

Median: 37,42,48,51,52,53,54,54,55. The middle one is 52.

Mode: Most common one = 54

Hope this helps! Have a nice day!

Answer:

pretty sure it’s 35.6

Step-by-step explanation:

Step-by-step explanation:

x+2x+8 =200

3x=200-8

3x=192

x = 64

Martha has 64 pence

Peter jas 136 pence

Answer:

[tex]{ \tt{2 \cos60 \degree + \tan(45 \degree) }} \\ \\ = 2(0.5) + 1 \\ = 1 + 1 \\ = 2[/tex]

Answer:

See below and attached

Step-by-step explanation:

Let the number of paintings is x and the number of mugs is y.

We have following inequalities:

The graphical solution is attached.

The solution is:

Answer:

x = 16

Step-by-step explanation:

These are corresponding angles meaning they are equal to each other.

4x + 30 = 94

4x = 64

x = 16

Answer:

7x + 8y - 5

Step-by-step explanation:

Like terms are terms with the same variable as well as the same amount of said variable:

Set the expression:

4x + 3y - 4 + 5y + 3x - 1

4x + 3x + 3y + 5y - 4 - 1

Combine like terms:

(4x + 3x) + (3y + 5y) + (-4 - 1)

(7x) + (8y) + (-5)

7x + 8y - 5 is your answer.

~

Answer:

196,836,571.6 miles²

Step-by-step explanation:

the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere

surface area of a sphere = 4πr²

π= 3.14

r = 7,917.5 / 2 = 3958.75 miles

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

4 x 3.14 x 3958.75² = 196,836,571.6 miles²

Answer:

75

Step-by-step explanation:

Math

Answer:

75

Step-by-step explanation:

add up all the numbers, then divide by how many numbers there are

Answer:

Second option - 6

Explanation:

Trust! (And the image)

I really ope this helped! :)

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that [tex]\mu = 100, \sigma = 15[/tex]

What IQ score is identified with the upper 2%?

IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{X - 100}{15}[/tex]

[tex]X - 100 = 15*2.054[/tex]

[tex]X = 130.81[/tex]

IQ scores of at least 130.81 are identified with the upper 2%.

Answer:

i think its 2

Step-by-step explanation:

Answer:

72-57-24=-9

Step-by-step explanation:

simple subtraction

Answer:

0.2

Step-by-step explanation:

Easy divide 1/5 as a decimal and you should get a decimal form number 0.2

1÷5=0.2

Hope this helps

Answer:

x<5

Step-by-step explanation:

[tex]\longrightarrow{\blue{ 141x - 8y }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]97x + 58y - 66y + 44x[/tex]

Let us rewrite the expression so that the like terms are next to each other.

[tex] = 97x + 44x+ 58y - 66y[/tex]

Combine the coefficients.

[tex] = (97 + 44)x + (58 - 66)y[/tex]

[tex] = 141x - 8y[/tex]

[tex]\sf\pink{Happy\:learning! }[/tex]

Answer:

A. 3

Step-by-step explanation:

Section 1: decrease

Section 2: level, no increase, no decrease

In section 3, the slope is positive. The graph goes up to the right. The level of water increases in section 3.

Section 4: decrease

Section 5: decrease

Answer: A. 3

Answer:

A. 3

Step-by-step explanation:

Answer:

7250.66

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

AE 40+60 = 100

CD 20+60 = 80

Answer:

C..............................