Two points of a parallelogram are (1,2) and (2,5). The base of the parallelogram is parallel to the x axis and is 4 units long. Find the coordinates of the other two points of this parallelogram and also find the length of the other pair of parallel sides of the parallelogrma. What would the area of this parallelogram be?

Answers

Answer 1

Answer:

(5,2) and (6,5)

length of side = sqrt10 ~= 3.16 units

Area = 12 sq units

Step-by-step explanation:

It really helps to graph the given information. See image. The sides have the same slope bc they are parallel. If you go UP3 & OVER1 to get from the first point to the second point, then do that again on the right side. See image. Use distance formula or pythagorean thm to find the length:

c^2 = 3^2 + 1^2

c^2 = 9+1

c^2 = 10

c = root10 ~= 3.16

Area of a parallelogram is b•h

A = 4•3

= 12

see image.

Two Points Of A Parallelogram Are (1,2) And (2,5). The Base Of The Parallelogram Is Parallel To The X

Related Questions

There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?

Answers

The probability of picking a blue counter from the bag is 1 / 13.

What is the probability?

The number of counters initially in the bag:

white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10

The number of counters now in the bag:

white counters = 11pink counters = (5 + x) / 26 = 1/2

13/26

x = 13 - 5 = 8

blue counters = 26 - 13 - 11 = 2

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

To learn more about probability, please check: https://brainly.com/question/13234031

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A cable extends from the top of a radio tower to a point 360 feet from the base of the tower. If the
cable is 850 feet long, how tall is the tower?

Answers

Step-by-step explanation:

we have a right-angled triangle :

the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.

then the ground distance (360 ft) and the height of the tower are the 2 legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

in our case

850² = 360² + height²

height² = 850² - 360² = 592,900

height = 770 ft

the tower is 770 ft tall.

Answer:

770 feet

Step-by-step explanation:

Given

Cable = 850 feet longExtends from radio tower to a point 360 feet from the base of a tower

Solving

Using the Pythagorean Theorem, we can find the height(distance from base)² + (height)² = (length of cable)²height² = (850)² - (360)²height² = 722,500 - 129,600height² = 592,900height = √592,900height = 770 feet

the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192

Answers

Answer:

Step-by-step explanation:

12*4=48

(rounding) 17.23. whats the nearest tenth?

Answers

Answer:

17.2

Step-by-step explanation:

23 ⇒ Below 5, round down

20 ⇒ Add to decimal

17. 23 ⇒ 17.2 / 17.20

Angle relationships with parallel lines

Answers

Answer:

x = 132

Step-by-step explanation:

x = 180 - 48

x = 132

x+48=180 (Angle On A Straight Line)
x=180-48
x=132

find an ordered pair for 4 solution for -5x+y=6

Answers

⇒ Choose three values for [tex]x[/tex] and substitute in to find the corresponding [tex]y[/tex] values.

[tex](0,6),(1,11),(2,16)[/tex]

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.
Step 2 is incorrect because it uses a point that is not on the line.
Step 3 is incorrect because it shows an incorrect ratio for the slope.
Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form

Answers

Answer: Step 3 is incorrect because it shows an incorrect ratio for the slope.

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Select the table that represents a linear function.

Answers

Answer: C.

Step-by-step explanation: In a linear function, both numbers rise or fall in a steady way. This means the answer would be c, where the x rises in increments of one, and y increases by multiplying by three each time.

PLLLLEASE help- geometry

Answers

Answer: Reflection, translation

Step-by-step explanation:

I need help on this problem

Answers

Answer:

45, 135

Step-by-step explanation:

9x + 12x + 75 = 180

21x + 75 = 180

21x = 180 - 75

21x = 105

x = 105 / 21

x = 5

9 x 5 = 45

12 x 5 + 75 = 135

Desmis Unit 7 Practice Day 1

Answers

The number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

What is triangle angle sum theorem?

According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees.

The measure of angles are given as,

A 90 degree angleA 100 degree angleA 30 degree angle

To create a triangle with these angles, the sum should be equal to 180 degree of three angles.

90+100+30 > 180

90+90+30 > 180

90+90+100 > 180

100+100+30 > 180

30+100+30 < 180

30+90+30 < 180

There is no combination of angles, which is equal to the 180 degree.

Hence, the number of unique triangle can be formed using the angles 30 degrees, 90 degrees and 100 degrees is 0.

Learn more about the triangle angle sum theorem here;

https://brainly.com/question/7696843

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9. Find the midpoint of the segment having endpoints (4.1,−6.6) and (6.6,−4.1).

Answers

Answer: [tex]\displaystyle (5.35, -5.35)[/tex]

Step-by-step explanation:

We will use the midpoint formula. See attached or view below.

What does this formula do? We are, essentially, finding the average for the x-values and y-values.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]

[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]

[tex]\displaystyle (5.35, -5.35)[/tex]

Can you guys help me find x and y, please

-2x -5y = 16
2x -3y = -16

-5x + 2y = 11
-3x + 4y = -13

Answers

Answer:

sure the first one for -2x-5y=16 is x is (-8,0) and y is (0,-16/5)

the second one for 2x-3y=-16 for x is (8,0) and y is (0, 16/3)

the third one for -5x+2y=11 for x is NONE and y is 8

the last one (thank god) for -3x+4y=-13 for x is (13/-3,0) and y is (0, 13/4)

Step-by-step explanation:

Math Due soon pls help :)

HELP A BRUVUH OUT

Answers

Answer: Choice C

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

Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

Answer: Choice C

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

Explanation:

The volume of the rectangular block is:

V = L*W*H = 5*14*2 = 70*2 = 140 cubic cm.

Now move onto the triangular prism.

The triangular face has a base of 5 cm and height of 4, so the area of this face is

A = base*height/2 = 5*4/2 = 20/2 = 10 square cm

Multiplying this with the depth of the prism tells us the volume is

V = (area of the base)*(depth) = (10 sq cm)*(14 cm) = 140 cubic cm

Therefore, the prisms have the same volume.

Which is the
slope-intercept form of the equation of the line with a slope
of -3 and a y-intercept of -1?
O y + 3 = -1(x-0)
Oy=-3x - 1
O y = 3x + 1
O y = 3x - 1

Answers

Answer:

I think its B

Step-by-step explanation:

PLEASE HELP!!!!!!!!!!!!!

Answers

no lo sé, pero como necesito puntos, ¿sí?

Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores a 70 or below? Use the formula for a z-score z = x - mu/infinity where x is the given value, mu is the mean and infinity is the standard deviation. Then refer to the chart on page 11 of the lesson to find the probability. a. .0668.b. .0179.c. .0013.d. .5000.

Answers

The probability that the student scores a 70 or below is 0.0013

How to determine the probability?

The given parameters are:

Mean, μ = 82Standard deviation, σ = 4

The probability that a student scores 70 or below is represented as:

P(x ≤ 70)

Calculate the z score for x = 70 using:

[tex]z =\frac{x - \mu}{\sigma}[/tex]

This gives

[tex]z =\frac{70 - 82}{4}[/tex]

Evaluate

z =-3

The probability becomes

P(x ≤ 70) = P(z ≤ -3)

Using the z tables of probabilities, we have:

P(x ≤ 70) = 0.0013499

Approximate

P(x ≤ 70) = 0.0013

Hence, the probability that the student scores a 70 or below is 0.0013

Answers

Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = [tex]\frac{\pi }{4}[/tex]

(2cos(θ))^2=2
4cos^2θ=2
cos^2θ=1/2
cosθ= ±√(1/2)
θ= π/4 and 3π/4
So the smallest answer is π/4

Write an 27, 31, 35, .... explicit formula for an, the n th term of the sequence

Answers

Answer :

See below ~

Explanation :

Common difference (d) between terms is :31 - 27 = 4

Then the recursive formula is :

aₙ = aₙ₋₁ + 4

Corresponding Angles are congruent. Which angle corresponds with

Answers

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints?

If Zoe paints the visible outside faces of her shed, what is the total surface area that she paints? A. 48 ft^2 B. 64 ft^2 C. 96 ft^2 D. 112 ft^2
the measurements are 4,4,6 and 3

Answers

Answer:

^2D its because the shed has only two faces

How many minutes per week do the students in our class play video games please help

Answers

Answer:

Mean: 599, Median 60

Step-by-step explanation:

0,0,0,14,16,30,60,260,300,420,1500,2592,2595

add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.

Mean: 599

Sort them from smallest to greatest and the number directly in the middle is the median.

Median: 60

joan has a square flower bed with a side length of 5 meters filled with tulips. there are a total of 375 tulips in the bed. find the density of tulips
for the area of the bed. round to the nearest tenth if necessary.

Answers

Answer:

the answer is 15

Step-by-step explanation:

density= total population/surface area

density= 375/5^2

density=375/25=15

WILL GIVE BRAINLIEST PLEASE HELP ASAP
Please answer this in word form and do it fast because I’m running out of time. Will give brainliest

Answers

Step-by-step explanation:

because the distance from O to the other 3 points is the same. each bisector provides a line of points with equal distance to the 2 end points of its base line.

where these 2 bisectors intersect, is the point that has the same distance to all end points.

samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)

Answers

Answer:

Zero

Step-by-step explanation:

Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero

the quotient of a and b

Answers

Answer: take the first digit of a and divide it by b

Step-by-step explanation: and that should give you your answer and if not please feel free to mesage me.

Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.

Answers

The statements that can be used to compare the characteristics of the functions are:

g(x) has the maximum greatest value.h(x) has a range of all negative numbers.

How to interpret the functions?

From the table of values (see attachment), we have the following highlights:

f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.

The above highlights mean that, the true statements are b and d

Answers

Step-by-step explanation:

mean =10

sum of no =7+5+0+1+3+4+h=20+h

N=7

now

mean=sum of no/N

10=20+h/7

10×7=20+h

70-20=h

h=50

HELP ME OUT NO SCAM OR ELSE!!!! I ONLY GOT 1 MIN!!!! 50 BRAINLY PTS

Answers

Answer:

The two middle ones

Step-by-step explanation:

I'm having a little trouble with it,

Answers

Answer:

Each person received 3 slices and 3 are left

Answer:

D) Each person receives 3 slices, and there are 3 slices left over

Step-by-step explanation:

If each pizza was cut into 8 slices, then there were 3*8=24 slices.

If we attempt to share 24 slices with 7 people, there would be 3 slices for each person, with 3 left over since 7*3=21, and 21+3=24.

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