Each quadrilateral below is a parallelogram. Find the missing measures

Each Quadrilateral Below Is A Parallelogram. Find The Missing Measures

Answers

Answer 1

Answer:

GH = 13

FG = 20

<F = 78

<G = 102

<H = 78

Step-by-step explanation:

Since there are 5 measures that are missing, we will do each one in a different part.

1.  The side length of GH is 13. Since this is a parallelogram, the opposite side of your original side is congruent, meaning that its the same. So, knowing that the opposite of FI is GH, we can say that GH is 13 units long.

2. We can use the same logic for number 2, when finding FG. Since HI is 20. we can say that since the corresponding side is also congruent to our original length, they are equivalent. Basically meaning they are the same

3. a. For finding F, we will need to use a different method. Since a parallelogram is somewhat like a transversal we can use that to our advantage. (If you don't know what a transversal it, look at part B instead) Since we know that angle I is 102, and both line FG and HI are parallel, the angles are basically adjacent, when switched. So we should see that it would have to be 78. Meaning that F is 78.

3. b. If you don't understand what a transversal is, we can still figure it out. Knowing that the figure is a closed shape, along with knowing that its a parallelogram, we can say that if we were to sum the angles F and I, we would get 180. 180-102=78, so F is 78.

4. Since we can use a transversal or just pure logic to say that angle G and I are equivalent, meaning that G is 102.

5. This one is exceptionally simple, just for the fact that we have answered the previous questions. We have H left, which is not only equivalent to F, but using 3. b. we can say that its would only make sense that H is 78 as well, to sum up that half to 180.


Related Questions

A mountain bike originally priced at $964.00 is up for sale at a discount of 11%. What is the price of the mountain bike after the discount?

Answers

Answer:

857.96

Step-by-step explanation:

964/100=9.64

9.64x11=106.04

964-106.04=857.96

please solve! thanks!

Answers

Answer:

uhm no

Step-by-step explanation:

Answer:

arc 1 = 108 degrees

angle 2 = 54 degrees

Step-by-step explanation:

180 - 72 = 108   (half circle -72)

draw a line from center of circle to tangent point.

this line is perpendicular to the tangent line.

all radii are equal.

then, triangle made with the new line is isosceles with two equal angles.

those angles are 36 degrees each  (180 - 108 = 72, 72/2 = 36)

line drawn from center to tangent point is 90 degrees so:

90 - 36 = 54 degrees

h(x)=-7x-11 when x=7

Answers

Answer:

-60

Step-by-step explanation:

h(x)=-7x-11

h(7)=-7(7)-11

h(7)=-49-11

h(7)=-60

Answer:

-60

Step-by-step explanation:

-7x7= -49

-49-11= -60

Yuki concluded:
"It's not possible to map AABC onto AFED using a sequence of rigid transformations, so the triangles
are not congruent."
What error did Yuki make in her conclusion?

Answers

Answer:

One more transformation — a rotation — would map △ABC onto △FED So the triangles are congruent.

Step-by-step explanation:

Yup

Which number line shows the graph of x2 11?
+
7
6
8
9
10
11
12 13 14
+
7
6
00
9
10
11 12 13 14
O
6
7
9
10 11
12 13 14
O
6 7 8
9
10 11
12 13 14

Answers

Answer: The second option

help me plzzz plzzz help me

Answers

Answer:

sepa pero suerte no hablo ingles

Help please!! Solve for y.

Answers

Answer:

y = 3[tex]\sqrt{7}[/tex]

Step-by-step explanation:

The 2 right triangles inside the right triangle are similar, then ratios of corresponding sides are equal, that is

[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )

y² = 63 ( take the square root of both sides )

y = [tex]\sqrt{63}[/tex] = 3[tex]\sqrt{7}[/tex]

solve the equation:
1) у – 2 = — 4​

Answers

Answer:

Y=-2

Step-by-step explanation:

Hope that helps you

Answer:

y=-2

Step-by-step explanation:

first, you have to leave y alone so you have to add 2 on both sides to delete -2

y-2+2=-4+2

now -2+2=0 so that's gone and -4+2 is -2

Now you have the answer UvU

y=-2

I need help with this last question.
A tent has the shape of a triangular prism. Its volume is 25 m cube.
Find one possible whole-number dimension of the prism.
Calculate the surface area of the prism.

Answers

Answer:

Step-by-step explanation:

length=1 m

base of triangle=10 m

height=5m

volume= 1/2×10×5×1=25 m cube.

slant height l=√(5²+5²)=√50=5√2

slant surface area=2[5√2×1]=10√2

area of front and back=2×1/2(10×5)=50

total surface area=50+10√2≈50+14.14≈64.14 m²

Jerry is building a dog kennel for his new puppy to play in while he is at work. It will be square made out of wire mesh with 9 foot sides. How many yards of wire mesh does Jerry need to purchase?

Answers

Answer:

I think 12yards

Jerry need to purchase 12 yards of wire mesh.

How many terms of the AP -10,-7,-4,-1,.............must be added to get the sum -104?


pls do this fasttttttstttt

Answers

Answer:

The value of n is complex

Step-by-step explanation:

The sequence is an arithmetic sequence

Given

First term a = -10

common diff d = -7-(-10) = -4-(-7) = 3

Sn = -104

get the number of terms n using the formula

Sn = n/2[2a+(n-1)d]

-104 = n/2[2(-10)+(n-1)(3)]

-104 = n/2[-20+3n-3]

-208 = n{3n-23}

-208 = 3n²-23n

3n²-23n+208 = 0

Factorize

n = 23±√23²+4(3)(208)/2(3)

n = 23±√529-2496/6

Since the value of n is a complex number, hence the value of n does not exist

Lu can type 140 words in 5 minutes, and Ray can type 140 words in 4 minutes.

Answers

Answer:

mi no inglés no te podré contestar perdon

Answer:

(Hi!!) I do not know what you need in this Problem but first of all, if your looking for who typed the fastest it was Ray.

What is the length of line segment HJ?

Answers

The answer is 5 radical 3

Answer:

b = 5√3 (units)

Step-by-step explanation:

To solve this problem, use the pythagorean theorem, where a^2+b^2 = c^2, a and b are the legs of the triangle and c is the hypotenuse.

In this case, we are finding the missing leg, and we were given one of the legs and the hypotenuse.

a^2+b^2 = c^2 (pythagorean therorm)

5^2+b^2 = 10^2 (substitute one leg and the hypotenuse)

25+b^2 = 100 (square the numbers)

b^2 = 75 (subtract 25 from both sides)

b = √75

b = √25 * √3 (factor out√75)

b = 5 * √3 (find square root of√25)

b = 5√3

Hope I was able to help! Good Luck!

Two rival dry cleaners both advertise their prices. Store A’s prices are modeled by the expression 20x - 7, where x is the number of items brought in. Store B’s prices are modeled by the expression 4(5x + 7), where x is the number of items brought in. When do the two stores charge the same rate?

Answers

Answer:

Step-by-step explanation:

Store A price is 20x-7

store B price is 4(5x+7)

Where x represents the number of items.

Now, observe that the coefficient of both expressions is 20, because 4(5x+7)=20x+7

Remember that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions

y=20x-7

y=20x+28

Observe that both Stores have already the same rate, which is  20.

Therefore, they have the same rate at any number of items dry cleaned.

What they have different is their initial condition, -7 and +7 respectively, but the rate is the same..

30.1593 rounded to the nearest hundredth NOW PLEASE

Answers

Answer:

30.16

Step-by-step explanation:

Where will Jack and Nolan meet​

Answers

I got 2.8 and 5.4 because they don’t directly meet where I graphed it.

Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. What is his true balance?


$414.25


$408.35


$48.32


$365.93


Orlando has a bank statement balance of $414.25 and $5.90 service charge. His check register shows $374.16 and he has two outstanding checks of $26.54 and $21.78. Orlando should:


Keep the adjusted checkbook balance.


Write the true balance in his checkbook.


Write the balance from the bank statement in his checkbook.




Answers

Answer:

$365.93

$368.26

Step-by-step explanation:

The true balance :

Statement balance - outstanding cheques

Statement balance = 414.25

Outstanding cheques = 26.54 and 21.76

414.25−26.54−21.78 = 365.93

Adjusted Chequebook balance

Chequebioknvakance will en adjyat d for service charge :

Chequebook balance - service charge

$374.16 - $5.90 = $368.26

What is the area of the figure below?

Answers

The answer is 24 because 8*3

how is the orientation of and image affected by translation

Answers

Answer:

is this helping?

Step-by-step explanation:

it helps show the words better

sorry if wrong or late qwq

your amazing

please help me I have no idea what in doing​

Answers

option A is not a function because in the domain of the x its have -1 twice so its not a function

Avery's mother wants to order large pizzas for Avery's birthday party. Each pizza will be cut into 8 slices. She needs enough pizza for 18 children and 5 adults. She wants each person to have 4 slices. How many pizzas does she need to order?

Answers

Answer:

She would need to order 11.5 pizzas. But of course she wouldn't order 11.5 so she'll just round up and order 12 pizzas.

Step-by-step explanation:

Take 4 pieces of pizza for each person and multiply that by how many people there are in this case 23. The answer would be 92 pieces of pizza would be needed to feed all of the 23 people. So you take 92 and divide it by 4 because each person gets 4 slices and the answer you get is 11.5. If the question is a multiple choice and it gives you the option of 11.5 then that's the answer but if its a fill in then round up to 12 pizzas because if not there will not be enough pizza for everyone.

Hope this helped! :)

is this a corresponding angle, alternate exterior angle, vertical angle, a supplementary angle, or a linear pair?

Answers

Answer:

Vertical angles

Step-by-step explanation:

∠[tex]5[/tex] and ∠[tex]7[/tex] are formed by the same lines and are "opposite" to each other, so they are vertical angles by definition. Hope this helps!

8.4x-5=20.2 solve for x

Answers

Answer:

x=3

Step-by-step explanation:

You guessed 141 envelopes, but there were actually 150 envelopes.

NEED ANSWER ASAP

Answers

Answer:

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

I don't really know what your asking here but there we're 9 other envelopes

PLSS HELPPPPPPP IMMA FAIL

Answers

Answer:

it should 3

Step-by-step explanation:

3.3333 because it is divided by 3

Write the quadratic equation where the roots are -1/3 and 5

Answers

Answer:

f(x) = 3x² - 14x - 5

Step-by-step explanation:

multiply the factors: (x + 1/3)(x - 5)

x² - 5x + 1/3x - 5/3

x² -14/3x - 5/3

multiply by 3 to eliminate fractions:

3x² - 14x - 5

What's the reciprocal of 0.5?

Answers

Answer:

2

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

Here n = 0.5, then reciprocal is

[tex]\frac{1}{0.5}[/tex] = 2

When a ribbon is cut into 3 equal pieces,each piece is _______ m long (correct to 2 decimal places).

Answers

Answer:

How long was the ribbon before it was cut?

Step-by-step explanation:

Don has an album that holds 900 coins . Each page of the album holds 9 coins . If 78​% of the album is​ empty, how many pages are filled with ​?

Answers

Answer:  22% of the pages are filled up

Step-by-step explanation: 900/9= 100 78% of 100 is 78

22+78=100 therefore reaching 100 percent. since 78% is empty that means 22% is being used.

Subtract.

7/9−1/4

Enter your answer in simplest form

Answers

Answer:

0.5277

Step-by-step explanation:

Answer:

Step-by-step explanation:

7/9 -1/4

we need to make the fraction even bases

7x4=28 9x4=36      1x9= -9     4x9=36

28/36 -9/36

28-9=19

19/36

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