3
6
X =
04
06
O 12
please help !

Answer/Step-by-step explanation:

The figure given shows two triangles.: ∆ADB has two equal base angles while ∆BCD has three equal angles. Therefore, based on their angles, we can conclude that:

∆ADB is an isosceles triangle

∆BCD is an equilateral triangle

Before we add up he outside lengths of Quadrilateral ABCD to find the perimeter, let's recall three properties of each triangle:

Isosceles triangle:

-Has two equal base angles

-The two sides opposite the two equal base angles are also equal to each other

-the their side (base) is unequal to the other

Equilateral triangle:

-Has three equal angles

-Has three equal sides

-Each angle measures 60°

Using these properties, we can determine the outside lengths of quadrilateral ABCD:

AB = 21 (given)

AD = 17 (given)

AD = BD = 17 (equal sides of ∆ADB)

BD = 17

BD = BC = CD = 17 (properties of equilateral triangle)

BC = 17

CD = 17

✔️Perimeter of Quadrilateral ABCD = AB + BC + CD + AD = 21 + 17 + 17 + 17

Perimeter = 72 units

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator

= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]

= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]

= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]

= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]

= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]

= - [tex]\frac{3}{9}[/tex]

= - [tex]\frac{1}{3}[/tex]

Answer:

complementary angles

Step-by-step explanation:

Complementary angles add to 90 degrees

Supplementary angles add to 180 degrees

A right angle is 90 degrees so they are complementary angles

Answer:

C) 2/3

Step-by-step explanation:

The 2 represents the two Jerry picked out and the 3 represents the total amount of marbles.

Hope this helped :)

Answer:

A.   1/3

Step-by-step explanation:

Chance of red on one marble

2/3

Chance of red on second marble

1/2

Chance both red

2/3 * 1/2 = 1/3

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R

Complete Question

A manufacturer of banana chips would like to know whether its bag filing machine works correctly at the 445 gram setting is there sufficient evidence at the 0.01 level that the bags are underfilled? Assume the population is normally distributed State the null and alternative hypotheses for the above scenario

Answer:

[tex]H_o=\mu=445g[/tex]

[tex]H_a=\mu<445g[/tex]

Step-by-step explanation:

From the question we are told that:

Mass [tex]M=445g[/tex]

Significance level [tex]\alpha=0.01[/tex]

Generally the Null and Alternative Hypothesis is

[tex]H_o=\mu=445g[/tex]

i.e  The bags are not under filled

[tex]H_a=\mu<445g[/tex]

i.e The bags are under filled

Answer:

i think false

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Answer:

a rectangle

Step-by-step explanation:

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

Answer:

The probability of drawing an odd numbered ticket is 60%.

Step-by-step explanation:

Odd numbered tickets:

Probability of one is 1/5 plus half of 1/5.

[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]

Probability of 3 is half of 1/5.

[tex]P(X = 3) = \frac{1}{10}[/tex]

Probability of 5 is 1/5. So

[tex]P(X = 5) = \frac{1}{5}[/tex]

Probability of drawing an odd numbered ticket:

[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]

0.6*100% = 60%

The probability of drawing an odd numbered ticket is 60%.

length of base is2 inches:

Answer:

Solution given:

According to the questionArea of triangle=14 square inches

bh=14

7*b=14

b=14/7

b=2

length of base is2 inches:

if

A=½bh

then

Area of triangle=14 square inches

½bh=14

½*7*b=14

b=14*2/7

b=4 inches

the length of the base of the triangle is 4inches.

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

What is mean by Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

The area of a triangle = 14 square inches

Height of a triangle = 7 inches

Now,

The given formula for a triangle is;

⇒ A = bh

Where, A is the area, b is base and h is the height of the triangle.

Substitute all the values in above equation, we get;

⇒ A = bh

⇒ 14 = b x 7

Divide by 7, we get;

⇒ 14/7 = b

⇒ b = 2 inches.

Therefore,

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

Learn more about the triangle visit:

https://brainly.com/question/21735282

#SPJ2

Answer:

Reason : by ASA , x = 36

Step-by-step explanation:

∠ABC = ∠EBD      (vertically opposite angle)

BC = BD = 54        (same length)

∠BAC = ∠BDE       (alternate interior angles)

By ASA , ΔABC ≅ ΔDBE

[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]

Answer:

Step-by-step explanation:

Elder abuse is any action that causes harm or distress to an older person. ...

Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...

Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.

Answer:

Slope = 1/4

Step-by-step explanation:

[tex]slope = \frac{y2-y1}{x2-x1} \\m=\frac{3-2}{3--1} \\m=1/4[/tex]

9514 1404 393

Answer:

  coterminal angle: 98°

  reference angle: 82°

Step-by-step explanation:

Adding 360° × 3 = 1080° brings the angle into the range 0-360°.

The coterminal angle is -982 +1080° = 98°

This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.

Answer:

150

Step-by-step explanation:

Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that

y=ksqrt((x+2)^2)

We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.

250=ksqrt((8+2)^2)

250=ksqrt((10)^2)

250=k10

250/10=k

25=k

So for any pair (x,y) we have the relation y=25((x+2)^2).

We are asked to find y when x=4.

y=25((4+2))^2

y=25(6)

y=150

Test to see if y is proportional to sqrt((x+2)^2)

For the given points: 250/150=10/6

The equation is true so we're great.

Answer:

6

Step-by-step explanation:

4 x 6=24 9 x 2=18

24-18=6

Answer: here’s your answer

Step-by-step explanation:

pages are 60

sheet 15

on one sheet we get no of

pages=60/15=4

on one sheet we get 4 pages

they are stuck each other

so

let we consider

on1st sheet page no 1=60

2=59

so 7pageno. missing with also 8

(because attaching each other)

7=60-7

8=60-8

answer is 7,8,52,53pages are 60

sheet 15

on one sheet we get no of

pages=60/15=4

on one sheet we get 4 pages

they are stuck each other

so

let we consider

on1st sheet page no 1=60

2=59

so 7pageno. missing with also 8

(because attaching each other)

7=60-7

8=60-8

answer is 7,8,52,53

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

is (0,0) a solution to what system?

Answer:

B

Step-by-step explanation:

[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]

Answer:

Step-by-step explanation:

2(x-2)=3x+3(2x+1)

2x-4=3x+6x+3

2x-4=9x+3

2x-9x=3+4

-7x=7

x=7/-7

x=-1

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Answer:

1 11/12

Step-by-step explanation:

convert to common denominators.

1 1/6 = 7/6 = 14/12

3/4 = 9/12

14+9=23

23/12

1 11/12

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hope it helps

Answer: 1560 = 30(52) + b

Step-by-step explanation:

Based on the information given in the question, the straight line passes through two points which are (40, 1200) and (52, 1560). Then, the equation if the straight line will be:

y - 1560 = (1200 - 1560)/(40 - 52) (x - 52)

y - 1560 = (-360)/(-12) (x - 52)

y - 1560 = 30(x - 52)

Lets put the value of x to be 0.

y - 1560 = 30(x - 52)

y - 1560 = 30(0 - 52)

y - 1560 = -30(52)

Therefore, 1560 = 30(52) + b