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3 years ago

A) chaim used an invalid reason to justify the congruence of a pair of sides or angles.

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

Answer:

Step-by-step explanation:

Side Side Angle does not exist.

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You know the measure of the exterior angle which forms a linear pair with the vertex angle. Describe two ways you can find measu

aev [14]

Answer:

Step-by-step explanation:

A linear pair are two given angles whose sum is equal to $180^{o}$ .

Let the exterior angle be represented by $x^{o}$ , and the three interior angles of the triangle be represented by $a^{o}$ , $b^{o}$ and $c^{o}$ .

Assume that the vertex angle $c^{o}$ is the linear pair to the exterior angle $x^{o}$ .

i.e $x^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles on a straight line)

Thus,

i. $a^{o}$ + $b^{o}$ = $x^{o}$ (sum of two opposite interior angles is equal to an exterior angle)

⇒ $a^{o}$ = $x^{o}$ - $b^{o}$

Also,

$b^{o}$ = $x^{o}$ - $a^{o}$

But,

$a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

⇒ $c^{o}$ = $180^{o}$ - ( $a^{o}$ + $b^{o}$ )

and

$a^{o}$ + $b^{o}$ = $180^{o}$ - $c^{o}$

ii. $a^{o}$ + $b^{o}$ + $c^{o}$ = $180^{o}$ (sum of angles in a triangle)

$a^{o}$ = $180^{o}$ - ( $b^{o}$ + $c^{o}$ )

Also,

$a^{o}$ + $b^{o}$ = $x^{o}$

⇒ $b^{o}$ = $x^{o}$ - $a^{o}$

$c^{o}$ = $180^{o}$ - $x^{o}$

8 0

2 years ago

Set up a table of values and then graph the line from its parametric form.. x=8+4t. y=-1+8t

Shalnov [3]

<span> x=8+4t

y=-1+8t

t = 0 x = 8 y = -1
</span>
t = 1 x = 12 y = 7

t = 2 x = 16 y = 15

7 0

3 years ago

Read 2 more answers

Which number line shows the solution to the inequality n + 6 < 4?

Anestetic [448]

Answer:

D) The very last one

Step-by-step explanation:

n + 6 < 4

n < -2

< means it's an open circle and goes in the LEFT direction

3 0

3 years ago

A line with a slope of -2 passes through the points (0,d) and (-8,9). What is the value of d?

Verizon [17]

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have m = -2 and the points (0, d) and (-8, 9). Substitute:

$\dfrac{9-d}{-8-0}=-2\\\\\dfrac{9-d}{-8}=-2\qquad\text{multiply both sides by (-8)}\\\\9-d=16\qquad\text{subtract 9 from both sides}\\\\-d=7\qquad\text{change the signs}\\\\\boxed{d=-7}$

4 0

3 years ago

Jade and Eliza went shopping at a mall. Jade spent $10 more than 5 times the amount that Eliza spent. Jade spent a total of $150

DaniilM [7]

Answer:

140

Step-by-step explanation:

Let total money spent by Eliza's be represented as x

Five times amount Eliza spent = 5x and total amount spent by Jade is $150

So it will be $10+ 5x =$150

5x= 150- 10

5x= 140

x = 140÷5

x= 28

........................

So therefore Eliza's amount spent = $28 and

5x$28 = $140

Jade spent $10 more equals $10+$140= $150(Total money spent by Jade).

8 0

2 years ago