In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle

Answer:

Perimeter of the new rug   = 4x+2 feet

Step-by-step explanation:

Let the length be x feet and the width of the first rug will be x- 3 feet

Area = length * breadth = x * (x-3) = x²- 3x

Length of the new rug = x+2 feet

Width of the rug = x+2-3= x-1 feet

Perimeter of the recatngle = 2( length + breadth)

                                             = 2( x+2 + x-1)

                                               = 2 (2x+1)

                                                = 4x+2 feet

Answer:

55

Step-by-step explanation:

If the can holds 1/5 of a gallon, he will have to fill it up 5 times to fill 1 gallon of the tank. Since the tank holds 11 gallons, he will have to fill up the can 5 × 11 = 55 times.

Answer:

-70b+22

Step-by-step explanation:

Simplify each term

apply the distributive property

2-10(7b)-10 *2

multiply 7 by -10

2-70b+-10*-2

multiply -10 by -2

2-70b+20

add 2 and 20

-70b+22

Answer:

Recursive:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit:

[tex]f(n)=4-4(n-1)[/tex]

And the 20th term f(20) is -72.

Step-by-step explanation:

We have the sequence:

4, 0, -4, -8...

Let’s find the recursive and explicit rule for the sequence.

Recursive Rule:

Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.

So, this is a arithmetic sequence.

The standard format for an recursive rule for an arithmetic sequence is:

[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]

Where a is the initial term and d is our common difference.

From our sequence, we know that our initial term a is 4.

We also determined that our common difference is -4.

Substitute. Hence, our recursive rule is:

[tex]f(1)=4, f(n)=f(n-1)-4[/tex]

Explicit Rule:

The standard format for an explicit rule for an arithmetic sequence is:

[tex]f(n)=a+d(n-1)[/tex]

Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:

[tex]f(n)=4-4(n-1)[/tex]

To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:

[tex]f(20)=4-4(20-1)[/tex]

Evaluate:

[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]

Hence, our 20th term is -72.

Answer:

All real square roots of 25 is +5 and -5.

Step-by-step explanation:

When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.

#teamtrees #WAP (Water And Plant)

It is found that all the real square roots of 25 are 5 and -5.

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.

Hence, all the real square roots of 25 are 5 and -5.

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Answer:

Thank you and please rate me as brainliest as it will help me to level up

Step-by-step explanation:

c is greatest angle

where as b is smallest

Answer:

time in years = 2.5 years

Step-by-step explanation:

time = interest / (principal amount x rate)

time = 750 / 5000 x 0.06

time = 750 / 300

time = 2.5 years

Answer:

58

Step-by-step explanation:

Answer:

$58

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).

Combine like terms of the angle measures.

6x + 9x = 15x

-3 + (-12) = -15

15x - 15

Because the sum of the measures of the two angles have to equal 90,

15x - 15 = 90

Add 15 from both sides.

15x = 105

Divide both sides by 15.

x = 7

To check, substitute 7 in both expressions.

6(7) - 3 = 39

9(7) - 12 = 51

39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.

I hope this helped :)

Answer:

75%

Step-by-step explanation:

add them together

I was just about to ask this question

Step-by-step explanation:

Im on this question rn, i need help to :(

Answer:  just guess :)

Step-by-step explanation:

Answer:

4t + 8

Step-by-step explanation:

t + 3t = 4t

4t + 8

Answer:

4t+8

Step-by-step explanation:

If you look at your equation t+8+3t you will notice how you have two t parts

part 1: t

part 2: 3t

Since they have the same variable or letter you are able to combine them. When you add them together you get 4t.

Then you just put your 8 back on to the equation! 4t+8

Answer:

The GCF would be 3

Step-by-step explanation:

You’re welcome :)

Answer:

1. A

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

(-4,-7) is in the bottom left corner on a graph. The x axis goes horizontal so if it reflects it would be at (-4,7)

2400 divided by 60 is equal to 40. The correct option is 3.

To find the expression that has a value of 40, to evaluate each expression:

1.

240 divided by 60:

Divide 240 by 60 is equal to 4.

So, this is incorrect option.

2.

2400 divided by 6:

Divide 2400 by 6 is equal to 400.

So, this is incorrect option.

3.

2400 divided by 60:

Divide 2400 by 60 is equal to 40.

So, this is correct option.

4.

2400 divided by 600:

Divide 2400 by 600 is equal to 4.

So, this is incorrect option.

Hence, out of the four expressions, the third one, 2400 divided by 60, has a value of 40. So the correct answer is 3 (2400 divided by 60).

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Answer:

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}y=x-4\\ y=3x+4\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y-x=-4\\ y-3x=4\end{bmatrix}[/tex]

[tex]y-3x=4[/tex]

[tex]-[/tex]

[tex]\underline{y-x=-4}[/tex]

[tex]-2x=8[/tex]

[tex]\begin{bmatrix}y-x=-4\\ -2x=8\end{bmatrix}[/tex]

solve for x

[tex]-2x=8[/tex]

Divide both sides by -2

[tex]\frac{-2x}{-2}=\frac{8}{-2}[/tex]

[tex]x=-4[/tex]

[tex]\mathrm{For\:}y-x=-4\mathrm{\:plug\:in\:}x=-4[/tex]

[tex]y-\left(-4\right)=-4[/tex]

[tex]y+4=-4[/tex]

[tex]y=-8[/tex]

The solutions to the system of equations are:

[tex]y=-8,\:x=-4[/tex]

Thus, option C is true because the point satisfies BOTH equations.

Answer:

its red okay? i hop help

Answer:3:1. Yellow

Step-by-step explanation:

Answer

Matilda needs to sell 1376$ worth of coffee

Answer:

1.75

Step-by-step explanation:

By Order of Operations, You read it left to right since Multiplication and Division are of the same importance. You would start with 15/3, which is 5.

Then your equation would be:  5*7/20.

Again, you would just read it left to right, 5*7=35

Then divide by 20, which is 1.75.

Answer:

-7/8

Step-by-step explanation:

the formula for calculating slope for the given coordinates is:

so (2,11) = (x1,y1)

and (10,4) = (x2,y2)

then putting the values in the formula.

The correct answer would be -3/8 or in decimal form -0.375 :)

Answer:

(d).

Step-by-step explanation:

The y-intercept (0, 3) is initial value of graph ⇒ (d). 3 miles; it represents the original distance of the bird from its nest

Answer:

0.2 mile; it represents the original distance of the bird from its nest

Step-by-step explanation:

Answer:

2.8%

Step-by-step explanation:

(7.4 - 7.2) / 7.2 =

0.2 / 7.2 =

2.7777777777778%

Answer:

f(x)=-8x+8

f(-3)

ANSWER: 11/8

Answer:

No solution

Step-by-step explanation:

Basically the simplified equation is 17 = 0, which is wrong so there is no solution.

Answer:

Step-by-step explanation:

AB:

d = sqrt ( (−5−2)^2 + (−2−(−8))^2)

d = sqrt( (−7)^2 + (6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

BC:

d = sqrt ( (−7−(-5))^2+(3−(−2))^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

AC:

d = sqrt ( (−7−(2))^2+(3−(−8))^2 )

d = sqrt( (−9)^2 + (11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d = 14.21267

DE:

d = sqrt ( (−11−(-9))^2+(12−7)^2 )

d = sqrt( (−2)^2 + (5)^2  )

d = sqrt(4+25)

d = sqrt(29)

d = 5.385165

EF:

d = sqrt ( (−2−(-11))^2+(1−12)^2 )

d = sqrt( (9)^2 + (-11)^2  )

d = sqrt(81+121)

d = sqrt(202)

d =14.21267

DF:

d = sqrt ( (−2−(-9))^2+(1−7)^2 )

d = sqrt( (7)^2 + (-6)^2  )

d = sqrt(49+36)

d = sqrt(85)

d = 9.219544

Yes, the triangles are congruent because the lengths are the same.

Answer:

x=-.5

Step-by-step explanation: