Find the measure of angle J in the isosceles triangle.

62 degrees
31 degrees
38 degrees
76 degrees

Answer: m = 2

Step-by-step explanation: m = 12 - 8 divided by 7 - 5

Refine: m = 2

Answer:

x = 21/2

Step-by-step explanation:

Step 1: Write equation

-4(3/2x - 12) = -15

Step 2: Solve for x

Answer:

Yes

Step-by-step explanation:

Answer:

h+12 or 12*h

Step-by-step explanation:

Answer:

h+12

Step-by-step explanation:

Increase by means add

h+12

Answer:

A = 1100cm^2

Step by step Explanation:

given the dimensions of width and length of the picture are x+20 by 2x-10 and the frame is a constant 5 cm wider from the edge of the picture to the frame, than the area of the frame is defined as (x+30)(2x)-(x+20)(2x-10) = 30x+200.

If the width is equal to the length which I assume is true if the width is constant.

than x+30=2x, which means x = 30.

if this is true than 30(30)+200 = 1100cm^2

Answer:

f(g(13)) = 9 ⇒ (A)

Step-by-step explanation:

Composite function: is when one function is inside of another function

Eamples: If f(x) and g(x) are two functions, then

The given table

→  x  →  f(x)  →  g(x)

→  2  →  9    →   5

→  5  →  2    →   8

→  8  →  13   →   9

→  9  →  8    →   13

→  13 →  5    →   2

Use the table to answer the question

∵ f(g(13)) is a composite function

∴ g(13) = x of f

→ g(13) means value of g at x = 13

∵ g(13) = 2

→ That means we need to find f(2)

∴ f(g(13)) = f(2)

→ Find the value of f when x = 2

∴ f(2) = 9

∴ f(g(13)) = 9

The answer is A

Answer:

The length of the legs of the triangle is approximately 86.85 meters

Step-by-step explanation:

The requirement is to minimize the combined area of the two enclosures

The given parameters are;

The length of (perimeter) fencing available = 500 meters

The shape of the first enclosure = Square

The shape of the second enclosure = Triangle

The shape of the triangle = Isosceles right triangle

The area of the square = Side, S, squared = s²

The perimeter of the square = 4 × s

The area of the triangle = 1/2 × Base × Height = 1/2 × b × b= 1/2·b²

Where;

b = The lengths of the legs of the triangle

Given that the perimeter is 500 m, we have;

length of hypotenuse of triangle = √(b² + b²) =√(2·b²) = b·√2

∴ 500 - 4·s = b + b + b·√2 = 2·b + (√2)·b = b·(2 + √2)

b = (500 - 4·s)/(2 + √2)

∴ The area of the triangle = 1/2 × ((500 - 4·s)/(2 + √2))²

The area of the square + The area of the triangle = s² + 1/2 × ((500 - 4·s)/(2 + √2))²

At minimum value, we have;

d(s² + 1/2 × ((500 - 4·s)/(2 + √2))²/ds = 0, gives (Using online application)

[tex]2\cdot \left (s - \dfrac{8\cdot (125 - s)}{\left (2 + \sqrt{2} \right )} \right ) = 0[/tex]

From which we have, s = 500/(7 + 2·√2)

Differentiating again gives;

[tex]\dfrac{\mathrm{d} \left (2\cdot \left (s - \dfrac{8\cdot (125 - s)}{\left (2 + \sqrt{2} \right )} \right ) \right ) }{\mathrm{d} x} = 26 - 16 \cdot \sqrt{2} \approx 3.37[/tex]

Therefore, the point is a local minimum and the length of the legs of the triangle should be given as follows;

The length of the legs of the triangle = b = (500 - 4·s)/(2 + √2) = (500 - 4*(500/(7 + 2*√2)))/(2 + √2) ≈ 86.85

The length of the legs of the triangle ≈ 86.85 meters.

Answer :he can fill 5 bags

Step-by-step explanation: 3/4 times 5

Answers is 2in

Step-by-step explanation: 6in•6in=36in•2in=72in

================================================

Work Shown:

A = area of pyramid base = 6*6 = 36 square inches

h = unknown height

V = volume of pyramid

V = 72 .... given info

V = (1/3)*A*h ... pyramid formula

72 = (1/3)*36*h

72 = 12h

12h = 72

h = 72/12

h = 6

Step-by-step explanation:

2)[tex]x - 7 > 10[/tex]

[tex] = x - 7 + 7 > 10 + 7[/tex]

[tex] = x > 10[/tex]

3)[tex]3x \leqslant 21[/tex]

[tex] = \frac{3x}{3} = \frac{21}{3} [/tex]

[tex] = x \leqslant 7[/tex]

4)[tex]5a - 2 < 18[/tex]

[tex] = 5a - 2 + 2 < 18 + 2[/tex]

[tex] = 5a < 20[/tex]

[tex] = \frac{5a}{5} < \frac{20}{5} [/tex]

[tex] = a < 4[/tex]

5)[tex]2t + 8 > - 4(t + 1)[/tex]

[tex] = 2t + 8 > - 4t - 4[/tex]

[tex] = 2t + 8 + 4 > - 4t - 4 + 4[/tex]

[tex] = 2t + 12 > - 4t[/tex]

[tex] = 2t + 4t + 12 > - 4t + 4t[/tex]

[tex] = 6t + 12 > 0[/tex]

[tex] = 6t + 12 - 12 > 0 - 12[/tex]

[tex] = 6t > - 12[/tex]

[tex] = \frac{6t}{6} = \frac{ - 12}{6} [/tex]

[tex] = t > - 2[/tex]

Answer:  slope is −25 - 2 5

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

>

Step-by-step explanation:

Answer:

Step-by-step explanation:

inside angle = 180

180 = x - 4 + 2x + 10 + (180 - 153)

180 + 4 - 10 - 27 = 3x

147 = 3x

x = 147 / 3

x = 49

Answer:

The angle C is supplementary to the angle of 180°

180°-116°=64°

The sum of all sides of a triangle is always 180 °:

2x+4°+3x-13°+64°= 180°

5x+55°= 180°

5x=180°-55°

5x=125°

x=125°/5

x=25°

⇒A=3x-13°

A=3×25°-13°

A=75°-13°

A=62°

Answer C

hope this helps.

Answer:

5

Step-by-step explanation:

subtract 192 from 379 and you get 187 so that is for adults then subtract 187 from 192 to get the answer which is 5

Answer:

$14.6

Step-by-step explanation:

1 cent = 0.01 dollar

4 cent = ( 4 × 0.01)

= 0.04 dollar

4 cent per a day: $0.04

1 year = 365 days

dollar per a year = ( 0.04 × 365)

= $14.6

Answer:

true im not sure

Step-by-step explanation:

Answer:

The first one is commutative property

The second one is associative property

The third one is distributive property

The fourth one is also commutative property

The fifth one is also associative property

Step-by-step explanation:

jaden fills seven bags per customer

Answer:

<1=110

<2=70

<4=110

<5=110

<6=70

<7=70

<8=110

Answer:

Prime factors are factors of a number that are, themselves, prime numbers. 

Answer:

4 7/10

Step-by-step explanation:

Answer:

3 - (-5) , (-1) - 2

Step-by-step explanation:

The distance formula is X2 - x1 and Y2 -Y1. Just replace the X and Y with your coordinate values.

Answer:

division property of equality

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

104 ft^2

Step-by-step explanation:

Ok, so area of a rectangle is pretty simple. Multiply the base and height. In this case, it is 10 × 8. The area of the rectangle is 80 ft^2.

Triangles are a little different. Because the height of the rectangle is the same as the height of the triangle (they share a side) we can use it to find the area. The area of a triangle uses the equation:

[tex]\frac{1}{2}[/tex](b × h)

Height = 8ft   Base = 6ft

8 × 6 = 48

[tex]\frac{1}{2}[/tex] of 48 = 24 ft^2

Now, because it is all part of the same shape, add the areas together.

80 + 24 = 104 ft^2

Answer: 4.79583152331

Step-by-

√23 ≈ 4.79 so plot the approximate location near 5 but not at 5, just near 5