Mathematics, 06.11.2020 02:40 dai77

Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle.
a=
Side BC=
Side AC=
Part 2: Based off your knowledge of side lengths and triangles, what can you for sure classify the above triangle as
Triangle ABC:

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Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the t

Answers: 1

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Answer from: edjiejwi

Part 1)

a=3; BC=10; AC=10

Part 2)

Isosceles Triangle

Step-by-step explanation:

Part 1)

We know that AC=BC.

Therefore, their lengths are equivalent.

So, we can write the following equation:

6a-8=4a-2

Let’s solve for a. Subtract 4a from both sides:

2a-8=-2

Add 8 to both sides:

2a=6

Divide both sides by 2. Therefore, the value of a is:

a=3

Now, we can substitute the value back to find AC and BC.

For AC, we have:

$AC=6a-8\\$

Substitute 3 for a:

AC=6(3)-8=18-8=10

So, the value of AC is 10.

For BC, we have:

BC=4a-2

Substitute 3 for a:

BC=4(3)-2=12-2=10

Therefore, both AC and BC measure 10 units, which was expected.

Part 2)

Remember that:

A triangle is scalene if all three of its sides are different. A triangle is isosceles if two of its sides are equal. And a triangle is equilateral when all of its sides are equal.

We know that AC is equal to BC. So, two sides are equal.

We don’t know anything about AB. AB could or could not be equal.

Therefore, the best answer is that Triangle ABC is an isosceles triangle.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

total amount to be paid = $19.5

step-by-step explanation:

given ,

original price = $25.99

discount = 25%

discount amount = 25% of original price

discount amount = 25/100 * 25.99

discount amount = $6.49

hence , the total amount to be paid = original price - discount amount

= $25.99 - $6.49

=$19.5

total amount to be paid = $19.5

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Part 1: Given triangle ABC and AC = BC, find a and the side lengths of the triangle.
a=
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