Which type of triangle is formed given the following angle measurements?
Angle 1: 50 degrees
Angle 2: 110 degrees
Angle 3: 20 degrees

Answer:

Length = 17 cm

Width = 8 cm

Step-by-step explanation:

Let the length be x cm

Therefore, Width = (x - 9) cm

Perimeter of rectangle = 2(l +w)

50 = 2[x + (x - 9)]

50/2 = 2x - 9

25 = 2x - 9

25+ 9 = 2x

2x = 34

x = 34/2

x = 17 cm

x - 9 = 17 - 9 = 8 cm

Therefore,

Length = 17 cm

Width = 8 cm

Thus, the dimensions of the rectangle are 17 cm and 8 cm.

Answer:

Fraction = [tex]\dfrac{3}{20}[/tex]

Step-by-step explanation:

Given that,

A model of the ocean floor takes up 2/5 of the space in an aquarium.

3/8 of the model is coral.

We need to find the fraction of the space in an aquarium is taken up by coral. So, it can be done as follows :

[tex]x=\dfrac{3}{8}\times \dfrac{2}{5}\\\\x=\dfrac{3}{20}[/tex]

So, the fraction of space taken by coral is [tex]\dfrac{3}{20}[/tex] in an aquarium.

Answer:

x=5.25 or x=5 1/4

Step-by-step explanation:

These two angles are the same because they are vertical angles. We can write an equation to express this.

x+16=4x-5

Then solve.

x+16=4x-5

-x      -x

16=4x-5

+5     +5

4x=21

x=5.25 or 5 1/4

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \frac{w^{-x+4}}{w^{-3}}=w^{2x+1}[/tex]

First, by the quotient property:

[tex]w^{(-x+4)-(-3)}=w^{2x+1}[/tex]

Since they both have the same base, their exponents must be equivalent:

[tex](-x+4)-(-3)=2x+1[/tex]

Solve for x. Simplify:

[tex]-x+7=2x+1[/tex]

Therefore:

[tex]3x=6\Rightarrow x=2[/tex]

Answer:

x=2

Step-by-step explanation:

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Answer:

4 packs of erasers and 0 packs of pencils

Step-by-step explanation:

To minimize what she needs to buy to end up with the same number of packs of pencils and erasers, she needs to make the number of each to be equal. So the total number of packs should be 12. She all ready has 12 pencil packs and would only need to buy 4 eraser packs

Answer:

x = 66

Step-by-step explanation:

Shapes with four sides are always 360 degrees

x + x - 20 + x + 40 + 2x + 10 = 360

combine like terms

5x + 30 = 360

subtract 30 from both sides

5x = 330

divide 5 from both sides

x = 66

Answer:

28

Step-by-step explanation:

area is equal on leng × with, or 36 × w =1008

1008:36 = 28

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

The probability of independent events happening at the same time is the multiplication of the probabilities of each events.

First card:

A standard deck has 52 cards, of which 13 are diamonds. So

[tex]P(A) = \frac{13}{52} = \frac{1}{4}[/tex]

Second card:

The first card is replaced, so still 52 cards, of which 13 are clubs. So

[tex]P(B) = \frac{13}{52} = \frac{1}{4}[/tex]

What is the probability that the first card drawn is a diamond and the second card is a club?

Each drawing is independent, so

[tex]P(A \cap B) = P(A)*P(B) = \frac{1}{4}*\frac{1}{4} = \frac{1}{16} = 0.0625[/tex]

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Answer:

0.0625 = 6.25% probability that the first card drawn is a diamond and the second card is a club

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

180-62=118

You're welcome :)

Answer:

option a. 62°

because opposite angle of parallelogram are equal.

Answer:

634

Step-by-step explanation:

it started 759 under went up 125 feet

use the equation 759-125=634

Answer:

₹16

Step-by-step explanation:

1/4 kg = ₹ 40

1kg = 40×4 = ₹160

1000g = 1kg

100g = 100/1000 kg

= 0.1kg

0.1kg= 0.1×160 = ₹16

Answer:

20√5 - 10√10

Step-by-step explanation:

6√20 + 8√5 - 5√45

first, 6√20 and 5√45 need to be simplified. 8√5 cannot be simplified any further:

6√20 = 6√4•5 = 6√2•2•5 = 6•2√5 = 12√5

5√45 = 5√8•5 = 5√2•2•2•5 = 5•2√2•5 = 10√10

now:

12√5 + 8√5 - 10√10

then, add the coefficients of 12√5 and 8√5

20√5 - 10√10

the left over numbers cannot be combined because they do not have a common radical, making 20√5 - 10√10 the final answer

Answer:

1e+18

Step-by-step explanation:

Answer:

3x^2-6x+1

Step-by-step explanation:

According to order of operations, you do exponents before multiplying. So, (x-1)^2=x^2-2x+1, then you multiply it by 3. Lastly, you subtract by 2.

Answer:

the correct answer is C. 540cm

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

lateral area =Pb*h

= 48(10)

= 480

which is B

if my answer helps please mark as brainliest.

Answer:

216

Step-by-step explanation:

Answer:

ñœñtíęn pòrqüé no hablœ ïñglēs

Answer:

Remember a unit rate is a rate where the the value in the denominator (or second value in a x to y rate) is 1.

Step-by-step explanation:

Answer:

252 cm²

Step-by-step explanation:

Basically I just split up the figure into three smaller rectangles and then found the lengths and widths of all of them. Then I found the area of all of them by multiplying the sides and then added up all the three areas together.

Plz let me know if you want a more in depth explanation and I can help more in the comments!

Answer:

10

Step-by-step explanation:

Am i right?

Answer:

c.10

Step-by-step explanation:

8/3.2 = 2.5 so times 2.5 by 4 to get 10

P.S. Good luck on edg

Answer:

because everything is relative to each other.

Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Answer:

Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.

Brainliest?!?!??!?

I need one more .

Answer:

0.017578 or 1.76%

Step-by-step explanation:

The probability of getting at least 12 heads is 0.01757.

In a binomial probability distribution, the number of "Successes" in a series of n experiments is represented as either success/yes/true/one (probability p) or failure/no/false/zero (probability q = 1-  p), depending on the outcome's boolean value.

Given a coin is tossed 15 times,

to find the probability of getting 12 heads,

P(X ≥ 12)  Probability of at least 12 successes

At least 12 successes include X-values of

X=12, 13, 14, 15

To solve this problem, find the sum of the binomial probabilities for each of the values of X, or if there is only one value of X, find the probability of P(X). In this problem,

P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

p(x) = ⁿCₓpˣqⁿ⁻ˣ

n = 15

P(X ≥ 12) = P(12) + P(13) + P(14) + P(15)

P(X ≥ 12) = ¹⁵C₁₂(0.5)¹²(0.5)¹⁵⁻¹² + ¹⁵C₁₃(0.5)¹²(0.5)¹⁵⁻¹³ +  ¹⁵C₁₄(0.5)¹²(0.5)¹⁵⁻¹⁴

                      +  ¹⁵C₁₅(0.5)¹²(0.5)¹⁵⁻¹⁵

P(X ≥ 12) = 0.01388 + 0.00320 + 0.00045  + .0000030

      P(X ≥ 12) = 0.01757

Hence probability is  0.01757.

Learn more about Binomial Distribution;

https://brainly.com/question/14565246

#SPJ6

Answer:

The answer is C.

Hope this helps :)

-ilovejiminssi♡

Answer:

A: The magnitude is 2 StartRoot 13 EndRoot, and the direction angle is about 34°.

Step-by-step explanation:

did it on edge and got it right

Answer:AAAAA

Step-by-step explanation:

just took it

Answer:

B

Step-by-step explanation:

4 is a lot less than the others

yez