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Viefleur [7K]
2 years ago
13

Julius needs to determine how much information needs to be given about an isosceles triangle to be able to draw an isosceles tri

angle. He is looking at six different cases and is trying to determine if that amount of detail will allow him to construct just one isosceles triangle or if it allows for more than one isosceles triangle.
Mathematics
1 answer:
Brrunno [24]2 years ago
3 0

Answer:

Six cases are enough to construct more than one isosceles triangle

Step-by-step explanation:

An Isosceles triangle is a triangle in which at least two of it's sides are congruent.

If two of the three sides of a triangle are congruent, but the third side is of a different length, the triangle is isosceles.

If all three sides of the triangle are congruent, even though this is an equilateral triangle, it satisfies the condition of an isosceles, and it is ok to still it isosceles.

Julius might decide to split information for a better explanation, it doesn't matter the number of cases he has, but six cases should be enough to draw an isosceles triangle.

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Solve question 10 using substitution or elimination. Show all work.
BlackZzzverrR [31]
Solid paper costs 1.75 each
Printed paper costs 2.50 each

Given:
Ben = $43.50 (12 rolls solid paper and 9 rolls of
printed paper)
Joel = $51.50 (8 rolls solid paper and 15 rolls of
printed paper)
Let x = solid paper
Let y= printed paper
12x + 9y = 43.50
8x + 15y = 51.50

Find X:
8x + 15y = 51.50
8x = 51.50 - 15y
x= (51.50 - 15y)8

Substitute X:
12x + 9y = 43.50
12(51.50 - 15y)/8 + 9y = 43.50
(618 - 180y)/8 + 9y = 43.50
8 (618 - 180y)/8 + 8*9y = 43.50 * 8
618-180y + 72y =348
-108y = 348 - 618
-108y =-270
-108y/-108=-270/-108

Y= 2.50

x = (51.50 - 15y)/8
x = (51.50 - 15(2.5) /8
x= (51.50 - 37.50\8
X = 14/8

X = 1.75

To check: x = 1.75; y = 2.5
12x + 9y = 43.50
12(1.75) + 9(2.5) = 43.50
21 + 22.50 = 43.50
43.50 = 43.50
8x + 15y = 51.50
8(1.75) + 15(2.5) = 51.50
14 + 37.50 = 51.50
51.50 = 51.50

Hope that helps! Have a good day :)
5 0
2 years ago
Which pair of points is in the solution set for the system of linear inequalities below?
kirill [66]

2(x + y) or 2y+x or 2x(x + y)

8 0
2 years ago
What is the quadrants of a graph
lesya692 [45]

Answer:

The quandrants on a grap are basically the groups on the graph like quadrant I ,II ,III , and IV hope that helps

Step-by-step explanation:

7 0
3 years ago
Help on this one please
kvv77 [185]

Answer:

d ≈ 1732 ft

Step-by-step explanation:

Angle of elevation = Angle of depression

Following this truth,

m∠PAQ (Angle of depression) = m∠APB (Angle of elevation) = 30°

By applying tangent rule in the given triangle ABP,

tan(30°) = \frac{AB}{PB}

\frac{1}{\sqrt{3}}=\frac{1000}{d}

d = 1000√3

d = 1732.05

d ≈ 1732 ft

6 0
2 years ago
A square has a side length 15.8cm.If 3 such squares are linked side to side in a straight line, what is the perimeter of the who
Novay_Z [31]

Answer:

126.4 cm

Step-by-step explanation:

1. 15.8 * 3 = 47.4 (This is the length)

2. Find half of the rectangle

47.4 + 15.8 (width) = 63.2

3. Find the whole perimeter

63.2 * 2 = 126.4

3 0
3 years ago
Read 2 more answers
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