All categories

2 years ago

Help I’ll give you 30 points

Mathematics

2 answers:

amm18122 years ago

8 0

Answer:

QR = 6.8

XZ = 16.25

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

7.2 QR

------- = ------------

18 17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2 6.5

------- = ------------

18 XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

Gnesinka [82]2 years ago

6 0

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

You might be interested in

I need this problem solved real quick

PIT_PIT [208]

Let's take this problem step-by-step:

The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'

⇒ is on a straight line

⇒ sum of angle measure = 180 degrees

$unlabeled_.angle+78 = 180\\unlabeled_.angle = 102$

Now we know:

⇒ sum of all angles in a triangle ⇒ 180°

Let's put that in equation form and solve:

$x + 102 + 57=180\\x + 159=180\\x = 21$

Answer: 21°

Hope that helps!

#LearnwithBrainly

8 0

1 year ago

(a) Describe a property specific to squares that is not a property specific to rectangles.

blondinia [14]

Answer:

Step-by-step explanation:

(a) A square has all the 4 sides being equal while a rectangle has four sides, with the opposite sides being parallel and the same length.

(b) The diagonals bisect the angles , the diagonals are perpendicular bisectors of each other

(c) A square has two pairs of parallel sides, four right angles, and all four sides are equal while the angles of a parallelogram are not right angles

(d) a rhombus can be a rectangle (if the angles of the rhombus are all 90 degrees), and a rectangle can be a rhombus (if the sides of the rectangle are all equal length). Opposite sides are parallel.

(e) a rhombus has two opposite internal angles of equal measure, a square has four right angles with equal measure

5 0

2 years ago

Read 2 more answers

The computers of nine engineers at a certain company are to be replaced. Four of the engineers have selected laptops and the oth

Gala2k [10]

Answer:

(a) There are 70 different ways set up 4 computers out of 8.

(b) The probability that exactly three of the selected computers are desktops is 0.305.

Step-by-step explanation:

Of the 9 new computers 4 are laptops and 5 are desktop.

Let X = a laptop is selected and Y = a desktop is selected.

The probability of selecting a laptop is = $P(Laptop) = p_{X} = \frac{4}{9}$

The probability of selecting a desktop is = $P(Desktop) = p_{Y} = \frac{5}{9}$

Then both X and Y follows Binomial distribution.

$X\sim Bin(9, \frac{4}{9})\\ Y\sim Bin(9, \frac{5}{9})$

The probability function of a binomial distribution is:

$P(U=k)={n\choose k}\times(p)^{k}\times (1-p)^{n-k}$

(a)

Combination is used to determine the number of ways to select k objects from n distinct objects without replacement.

It is denotes as: ${n\choose k}=\frac{n!}{k!(n-k)!}$

In this case 4 computers are to selected of 8 to be set up. Since there cannot be replacement, i.e. we cannot set up one computer twice or thrice, use combinations to determine the number of ways to set up 4 computers of 8.

The number of ways to set up 4 computers of 8 is:

${8\choose 4}=\frac{8!}{4!(8-4)!}\\=\frac{8!}{4!\times 4!} \\=70$

Thus, there are 70 different ways set up 4 computers out of 8.

(b)

It is provided that 4 computers are randomly selected.

Compute the probability that exactly 3 of the 4 computers selected are desktops as follows:

$P(Y=3)={4\choose 3}\times(\frac{5}{9})^{3}\times (1-\frac{5}{9})^{4-3}\\=4\times\frac{125}{729}\times\frac{4}{9}\\ =0.304832\\\approx0.305$

Thus, the probability that exactly three of the selected computers are desktops is 0.305.

(c)

Compute the probability that of the 4 computers selected at least 3 are desktops as follows:

$P(Y\geq 3)=1-P(Y$

Thus, the probability that at least three of the selected computers are desktops is 0.401.

6 0

2 years ago

Answer the Question below (45 points)

iren [92.7K]

3x-5=-6x+13 : Given

3x=-6x+18 : Addition property of Equality

9x=18: Subtraction property of Equality

x=2: Division Property of Equality

Step-by-step explanation:

We need to give justification to each step

Step 1:

3x-5=-6x+13

This is the question given, which we need to solve and find value of x.

Justification: Given

Step 2:

Adding 5 on both sides of the equation using addition property of equality.

3x-5+5=-6x+13+5

Simplifying

3x=-6x+18

Justification: Addition property of Equality

Step 3:

Adding 6x on both sides of the equation

3x+6x=-6x+18+6x

9x=18

Justification: Subtraction property of Equality

Step 4:

Divide both sides of the equation by 9, to find the value of x using division property of equality

9x/9=18/9

x=2

Justification: Division Property of Equality

Keywords: Solving Equations

Learn more about Solving Equations at:

#learnwithBrainly

8 0

3 years ago

What is the slope of this line?

DedPeter [7]

Answer:

1/4 is the clope of the line

Step-by-step explanation:

a slope is just a rise ofver run from one dot to anothor so you go up 1 and over 4 and if you dont do the 2 dots that are closest to each other you have to simplify you r exspresion you will always get 1/4 on this graph

5 0

2 years ago