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2 years ago

Geometry... Please help and I'll mark brainliest. Triangle proofs & reasons

Mathematics

1 answer:

aliya0001 [1]2 years ago

6 0

Answer:

We are given that,

Polygons ABC and DBC are triangles.

Also, ABC and DBC are Right Triangles as ∠ABC and ∠DBC are 90 respectively.

AB ↔ CD

Now,

From the HL Congruency we know that,

"Two Right triangles are congruent if the Hypotenuses and at least One Side  of both the triangles correspond to each other."

Here,

Triangles ABC and DBC were given to be right triangles.

AB and CD are the hypotenuses of ΔABC and Δ DBC respectively. (From the construction of the figure) and are given equal.
The Side BC of both the triangles correspond as they share the side BC together.

Here, As the three conditions of being congruent through HL Congruency are satisfied, ΔABC & Δ DBC are congruent through the HL Congruency Criterion.

ΔABC ≅ Δ DBC [Hence, Proved]

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3 years ago

16) Your salary goes from $8.75 an hour at your present job to $16.50 an hour in your new job. What is

Agata [3.3K]

Answer:

The percent change in salary from one job to the next is 88.57%.

Step-by-step explanation:

The previous salary of per hour = $8.75 per hour

The current salary of per hour = $16.50 per hour

Change in the salary rate per hour = Current salary - Previous Salary

= $16.50 per hour - $8.75 per hour

=$7.75 per hour

⇒The change in the salary per hour rate is $7.75

Now, $\textrm{Percentage Change in salary} = \frac{\textrm{Change in the rate of salary}}{\textrm{Previous Salary}} \times 100$

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or, the change in salary percentage is 88.57%

Hence, the percent change in salary from one job to the next is 88.57%.

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3 years ago

A coin is tossed, and a standard number cube is rolled. What is the probability that the coin shows heads and the number cube sh

Ainat [17]

So,

Since this is independent probability, the probability of the event above occurring is:
$(probability\ of\ heads)(probability\ of\ even\ no.)$

First, the probability of landing on heads.
$\frac{1}{2}$

Now, the probability of rolling an even number.
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Plug it into the equation.
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The correct option is C.

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3 years ago

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3 years ago

Read 2 more answers

find the missing angle and side measures of the triangle. The triangle has one angle that measures 90 degrees, and the other two

Tamiku [17]

Since we know that the measure of one of the angles is 90°, we know that we have a right triangle with legs 1 and $\sqrt{3}$ . Now lets apply the Pythagorean theorem: $hypotenuse= \sqrt{leg^{2}+leg^{2} }$ , to find our hypotenuse:
$h= \sqrt{1^{2}+ \sqrt{3}^{2} }$
$h= \sqrt{1+3}$
$h= \sqrt{4}$
$h=2$

Now that we know that the measure of the hypotenuse is 2, lets use the trig function sine to find one of the angles that we are going to call $x$ .
Remember that $sin(x)= \frac{opposite.side}{hypotenuse}$ , so:
$sin(x)= \frac{1}{2}$
$x=sin^{-1} ( \frac{1}{2} )$
$x=30$
Now that we have two angles, remember that the sum of the interior angles of a triangle is 180°; lets use that to find our final angle $y$ :
$y=180-(90+30)$
$y=180-120$
$y=60$

We can conclude that the measure of the hypotenuse of our triangle is 2, and the measure of its missing angles are 30° and 60° respectively.

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2 years ago