find the area of the figure above

Answer:

m<1 = 39

m<2 = 51

Step-by-step explanation:

For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees).  This problem, gives you two relationships for angle 1 and angle 2 within a right-angle.  Using this information, we can solve for the measures of the two angles.

Let's write the two relations:

m< 1 = 3x

m< 2 = x + 38

And now let's right an equation that represents the two angles to the picture:

m<1 + m<2 = 90

Using this information, let's substitute the expressions we have for the two angles and solve for x.  Once we have the value of x, we can find the measure of the two angles.

m< 1 + m< 2 = 90

(3x) + (x + 38) = 90

3x + x + 38 = 90

x ( 3 + 1 ) + 38 = 90

x ( 4 ) + 38 = 90

4x + 38 = 90

4x + 38 - 38 = 90 - 38

4x = 90 - 38

4x = 52

4x * (1/4) = 52 * (1/4)

x = 52 * (1/4)

x = 13

Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.

m<1 = 3x = 3(13) = 39

m<2 = x + 38 = 13 + 38 = 51

And we can verify this is correct with the relational equation:

m<1 + m<2 = 90

39 + 51 ?= 90

90 == 90

Hence, we have found the values of m<1 and m<2.

Cheers.

Answer:

x=8

7x=56

Step-by-step explanation:

Yes and No, if you divide 6 by 3, 2, or 1, it will have a quotient less than 6. Dividing 6 by 3 = 2, 6 by 2 = 3, 6 by 1 = 6.

Answer:

x=-3 and x=-2

Step-by-step explanation:

I wrote the math down

Answer:

[tex]\huge\boxed{7\ \text{inches}}[/tex]

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

Answer: 114

Step-by-step explanation: Because 48+18 = 66 and 180-66 is 114.

Answer:

C

Step-by-step explanation:

∠ BHC = ∠ FAB = 48° ( alternate angles )

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ABC is an exterior angle of the triangle, thus

∠ ABC = ∠ BHC + ∠ ECB = 48° + 18° = 66° → C

Answer:

Step-by-step explanation:

Solve equation

Answer:

B

Step-by-step explanation:

The y intercept is -3 because -15/5=-3

The obtained coordinates are matching with graph B. Therefore, option B is the correct answer.

The given equation is -3x + 5y = -15.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Rearrange the given equation that is 5y = -15+3x

y= 3/5 x - 3

Put x=0, y=0-3

y=-3

Put x=5, y=3-3

y=0

Now, the coordinates to plot graph are (0, -3) and (5, 0).

The obtained coordinates are matching with graph B. Therefore, option B is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ5

Answer:

6.7 inches

Step-by-step explanation:

the statue is 67 feet tall, and in the replica, every inch is 10 feet. All you would need to do is move the decimal point to the left by one point.

Answer:

Yes, this is a function.

Step-by-step explanation:

This is a function because every input goes to exactly one output. Although 1 is listed twice in this example, it still goes to the same output of 15.

Answer:

hi

Step-by-step explanation:

Answer:

110000=p(1+0.019)^168

23.62p=110000

p=4660

credit: sqdancefan

Answer:

84330

Step-by-step explanation:

The compound interest formula gives the value of an investment.

 A = P(1 +r/n)^(nt)

where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.

 110,000 = P(1 +0.019/12)^(12·14)

 P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168

 P ≈ 110,000/1.30446

 P ≈ 84326.04 ≈ 84,330 . . . . dollars

Answer:

15 baskets

Step-by-step explanation:

This question is a GCF question

The first step would be to find the factors of 45, 75 and 90

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor is 15.

Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets

Answer:

2 <= to x <= 5

Step-by-step explanation:

/////////////

Answer:

Natural numbers, because they consist of 1, 2, 3, etc...

Answer:

integers

Step-by-step explanation:

integers is what it is called

Given:

The height of ball is represented by the equation is

[tex]h=-16t^2+6t+4[/tex]

To find:

The time taken by ball to hit the ground.

Solution:

First we need to find the zeroes of the given equation. So, for zeroes h=0.

[tex]-16t^2+6t+4=0[/tex]

Here, [tex]a=-16,b=6,c=4[/tex]. Usingquadratic formula, we get

[tex]t=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{6^2-4(-16)(4)}}{2(-16)}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{36+256}}{-32}[/tex]

[tex]t=\dfrac{-6\pm \sqrt{292}}{-32}[/tex]

[tex]t=-\dfrac{-6+ 17.088}{-32},\dfrac{-6+ 17.088}{-32}[/tex]

[tex]t=0.7215,-0.3465[/tex]

Time cannon be negative. So, at t=0.7215 the ball will hit the ground. Time taken by ball to hit the ground is

[tex]t=0.7215-0[/tex]

[tex]t=0.7215[/tex]

Round your answer to the nearest hundredth.

[tex]t\approx 0.72[/tex]

So, the ball will hit the ground after 0.72 seconds.

Therefore, the correct option is A.

Answer:

0.72

Step-by-step explanation:

I took the quiz

Answer:

x = - 0.5

Step-by-step explanation:

you have to simplify the equation so

[tex] - 2x - 10x + 12 = 18 \\ - 12x + 12 = 18 \\ - 12x = 18 - 12 \\ - 12x = 6 \\ x = \frac{6}{ - 12} \\ x = - 0.5[/tex]

Answer:

X= -1/2 Hope this helps <3

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x−10x+12=18

Step 1: Simplify both sides of the equation.

−2x−10x+12=18

−2x+−10x+12=18

(−2x+−10x)+(12)=18(Combine Like Terms)

−12x+12=18

−12x+12=18

Step 2: Subtract 12 from both sides.

−12x+12−12=18−12

−12x=6

Step 3: Divide both sides by -12.

Answer:

1: is low accuracy and high precisian. 2: is low accuracy and low precisian. 3: is high accuracy and high precisian.

Step-by-step explanation:

Answer:

Mark forgot to multiply 5 · 5, so he ended up with 5 in the denominator instead of 5 · 5 = 25

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]

Answer: x^3 -12x^2+31x-96+ 292/x+3

The remainder is 292

Step-by-step explanation: I used synthetic division to get the answer and got the answer above. I hope this helped :)

Answer:

?????????

Step-by-step explanation:

???????????

Mark wants to fence 4 rectangular gardens. So we calculate the perimeter of the each garden by this formula

P = 2(L) + 2(W)

Total Length of the garden =

=

Length = 18.5 feet

Total width of the garden =

=

Width = 9.0 feet

Perimeter of the garden = 18.5 + 9 = 27.5 feet

Mark wants to fence 4 garden

Therefore, 27.5 × 4 = 110 feet.

Mark needs 110 ft. fencing to surround all 4 gardens.

Answer:

4 1/2 +1 1/2= 5 1/2

Step-by-step explanation

Answer:

see below

Step-by-step explanation:

54+2x=5x−3(2+6x) Given

Distribute the -3 to all the terms in the parentheses

54+2x=5x−6−18x  Distributive property

54+2x=−13x−6 Combine like terms

Subtract 2x from each side

54=−15x−6 Subtraction Property of Equality

Add 6 to each side

60=−15x Addition property of equality

Divide each side by -15 ( or multiply each side by -1/15)

−4=x multiplication Property of equality

Answer:

The second option (10 for 5.20) and a time that the wiser purchase may not be a better buy is when they live alone. 10 potatoes is not a reasonable amount.  

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

3-3a+7<5

3a+7<2

3a>-5

a > [tex]\frac {5}{3}[/tex]