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guapka [62]
3 years ago
11

3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?

Mathematics
1 answer:
Nonamiya [84]3 years ago
4 0

Answer:

2< AC<8

Step-by-step explanation:

For a triangle to exits sum of two sides must always be greater than the the third side

⇒ AC<  AB+ BC =5+3=8 in

⇒AC<8 in

Also, the  difference of the two sides must be smaller than the length of third side

⇒ AC> | AB-BC| = |5-3| =2

AC> 2 in

therefore,  we can say  2< AC<8. Hence, AC can takes 3,4,5,6 values

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30 POINTS TO ANSWER!!!!!
Ede4ka [16]

Answer:

35

y = -4(-8) +3

y= 35

yea

that is the out put so 35

3 0
3 years ago
Ted brought a cooler containing 7.5 liters of water to a picnic. If 500 milliliters of water are served to each person, how many
bekas [8.4K]
Answers:
k = 13The smallest zero or root is x = -10
===============================
Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
7 0
3 years ago
On a road map with a scale of 1 cm. : 110 mi., the distance between two cities measures 4.5 cm. What is the actual distance betw
Scorpion4ik [409]

Answer:

465 miles

Step-by-step explanation:

So you have the ratio 1 cm: 110 mi, so you can multiply both sides of this ratio by 4.5 to get

4.5 cm: 465 mi

8 0
3 years ago
a phone company offers two monthly plans. plan A costs 13 plus an additional 0.16 for each minute of calls. Plan B costs 24 plus
vladimir1956 [14]

Answer:

Let x represent number of calling minutes

Step-by-step explanation:

17 + .11x = 22 + .07x

      .04x = 5

         x = 5/.04  = 125 minutes, is the number of minutes the two plans cost the same

 17 + .11*125 = $30.75 is the cost when the two plans cost the same  

5 0
3 years ago
choose the equation below that represents the line passing through the point (1,-4) with a slope of 1/2
Archy [21]
Well, we can use the form y = mx + b, where m equals the slope and x and y are the coordinate values:
-4 = 1/2(1) + b
b = 9/2
Therefore, the equation of the line is:
y = 1/2x + 9/2
6 0
2 years ago
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