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Simora [160]
3 years ago
7

PlZz AnsWeRIf each quadrilateral below is a rectangle, find the missing measures. ​

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer:

GF = 11

GE = 28

DF = 28

HF = 14

DG = √(663)

Step-by-step explanation:

We have that for a rectangle;

1) The opposite sides are equal

Therefore, GF = DE = 11

2) The diagonals of a rectangle are equal and they bisect each other

Therefore;

HE = HF = GH = 14

∴ HF = 14

HE = 14

GE = GH + HE = 14 + 14 = 28

GE = 28

DF = GE = 28

DF = 28

3) The sides of a rectangle are perpendicular

Therefore, by Pythagoras's theorem, DG = √(DF² - GF²) = √(28² - 11²) = √663 ≈ 25.75

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Three times a number minus another number is -3. The sum of the numbers is 11. Find the numbers
MatroZZZ [7]

The first equation is

3x-y=-3

The second equation is

x+y=11

If you sum the two equations you'll cancel y:

4x=8 \iff x=2

And since the sum must be 11, we have y=9.

8 0
4 years ago
1. If quadrilateral ABCD is rotated 270° clockwise about the origin, find the coordinates of B'.
Zielflug [23.3K]

Answer:

The coordinates of B' are (-3, 5).  

Step-by-step explanation:

For every 90 degrees rotated, the coordinate numbers switch and one is multiplied by -1, when clockwise it's the 2nd one, and when counterclockwise, it's the 1st.

4 0
3 years ago
Judy Clark went to Reel Bank. She borrowed $7,800 at a rate of 6 1/2%. The date of the loan was September 2. Judy hoped to repay
abruzzese [7]

Answer:

$7995.85

Step-by-step explanation:

We will use simple interest formula to solve our given problem.

A=P(1+rt), where,

A = Amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

r=6.5\%=\frac{6.5}{100}=0.065

t=\text{141 days}=\frac{141}{365}\text{ year}

A=\$78001+0.065\times \frac{141}{365})

A=\$7800(1+0.065\times 0.38630136986)

A=\$7800(1+0.025109589041)

A=\$7800(1.025109589041)

A=\$7995.85479

A\approx \$7995.85

Therefore, Judy will will pay back on January 20: <u>$7995.85</u>.

8 0
3 years ago
What will you spend altogether if you got a movie ticket for $5 and popcorn and a water bottle
solmaris [256]
If they are all 5 dollars then it will be $15
5 0
3 years ago
Read 2 more answers
Plz help and fast!! need it to be right!
Goshia [24]
First you need to solve for x by subtracting 9 from both sides (-3x less than/equal to 6), then dividing the inequality by -3, which would also flip the sign, so to speak. now you would have x is greater than/ equal to -2. now you would draw a circle above -2, fill it in since it is equal to, and draw the arrow going toward 0 (I think)
7 0
3 years ago
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