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ioda
3 years ago
9

What is the area of the following polygon below?

Mathematics
1 answer:
klio [65]3 years ago
4 0

Answer:

Step-by-step explanation:

(6+8)*4/2 = 28

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HELP! Which points could be on the line that is parallel to gh and passed through point J ? Check all that apply
denis23 [38]
The first thing we are going to do in this case is find the slope of the GH line.We have then:
 m = (y2-y1) / (x2-x1)
 Substituting values:
 m = (- 2-1) / (2 - (- 4))
 m = (- 3) / (6)
 m = -1 / 2
 Then, the generic equation of the line is:
 y-yo = m (x-xo)
 Since the lines are parallel, then the slope is the same
 m = -1 / 2
 The line passes through point J, that is:
 (xo, yo) = (1, 3)
 The equation of the line will then be:
 y-3 = (- 1/2) (x-1)
 Rewriting:
 y-3 = (- 1/2) x + 1/2
 y = (- 1/2) x + 1/2 + 3
 y = (- 1/2) x + 7/2
 The points that pass through this line are:
 (-3, 5)
 5 = (- 1/2) (- 3) +7/2
 5 = 3/2 + 7/2
 5 = 10/2
 5 = 5
 (3, 2)
 2 = (- 1/2) (3) +7/2
 2 = -3 / 2 + 7/2
 2 = 4/2
 2 = 2

 (5, 1)
 1 = (- 1/2) (5) +7/2
 1 = -5 / 2 + 7/2
 1 = 2/2
 1 = 1
 Answer:
 (-3, 5)
 (3, 2)
 (5, 1)
3 0
3 years ago
Read 2 more answers
Please help it’s due tonight. Your help will be greatly appreciated.There is also a graph. WILL PUT YOU AS BRAINLY!!!!!!
chubhunter [2.5K]

Answer: see below

Step-by-step explanation:

The shape is a trapezoid

Base 1 (BH) is 10

Base 2 (QA) is 14

Height is 5

Area

A=\frac{base_{1} +base_{2} }{2} h

A=\frac{10+14}{2} *5\\A=12*5\\A=60

Find distance between QB and HA

D=\sqrt{(x_{2} -x_{1}) ^{2}+(y_{2}-y_{1})  ^{2}

Q( -4,4)  B (-2,9)

D=\sqrt{(-2--4)^{2}+(9-4)^{2}  } \\D=\sqrt{2^{2} +5^{2} } \\D=\sqrt{29}

Perimeter

P=10+14+2\sqrt{29} \\P=24 +2\sqrt{29} \\P= 24+10.77\\P=34.77

5 0
3 years ago
Of the students at Milton middle school , 140 are girls. If 50% of the students are girls, how many total students are there at
denpristay [2]

Answer:

280

Step-by-step explanation:

50% is half, so to get the total, multiply 140*2 which is 280.

8 0
3 years ago
Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a p
Blizzard [7]

Answer: a popcorn is $9

Step-by-step explanation:

soda is $6

8 0
1 year ago
What is the value of q in the equation 5q-10=75
Alex

Answer:

q=17

Step-by-step explanation:

5q-10=75

add 10 to both sides to cancel out -10 on the left side

5q-10+10=75+10

5q=85

divide both sides by 5 to get rid of the 5 in 5q

5q/5=85/5

resulting in:

q=17

5 0
3 years ago
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