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3 years ago

Why are verticle angles congruent?

Mathematics

1 answer:

crimeas [40]3 years ago

3 0

Vertical angles are equal, which is similar to saying "vertical angles are congruent." Note: vertical, not verticle.

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What is the value of the expression below? (4/5+3/5)+3.5x5<br>

lisov135 [29]

Answer:

18.9

Step-by-step explanation:

Start with parentheses.

4/5 + 3/5 = 7/5

Simplify 7/5, 7/5 = 1 2/5

Next numbers.

3.5 x 5 = 17.5

Add.

17.5 + 1 2/5 = 18.9

7 0

2 years ago

What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps.

Mrac [35]

Answer:

Area of the rhombus ABCD = 16 square units

Step-by-step explanation:

Area of a rhombus = $\frac{1}{2}(\text{Diagonal 1})(\text{Diagonal 2})$

From the graph attached,

Diagonal 1 = Distance between the points A and C

Diagonal 2 = Distance between the points B and D

Length of a segment between (x₁, y₁) and (x₂, y₂) = $\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 }$

Diagonal 1 (AC) = $\sqrt{(4-0)^2+(-1+1)^2}$ = 4 units

Diagonal 2(BD) = $\sqrt{(2-2)^2+(3+5)^2}$ = 8 units

Now area of the rhombus ABCD = $\frac{1}{2}(\text{AC})(\text{BD})$

= $\frac{1}{2}\times 4\times 8$

= 16 units²

Therefore, area of the given rhombus is 16 units².

5 0

3 years ago

In every bar graph , line graph , or scatter plot , the vertical axis should include the following

alexgriva [62]

It should include zero

8 0

3 years ago

There are 10 large fish and 5 small fish. Half of the large fish are red. One fish is selected at random. Find the probability t

Softa [21]

The probability of choosing a large red fish is 5/15 or 1/3

3 0

3 years ago

Reese went cycling in the morning .The ratio of her distance in miles to the length of time in minutes was 15:60 tease concluded

rodikova [14]

Answer:

No, she is not correct as her speed is 0.25 miles per minute.

Step-by-step explanation:

Given:

Ratio of distance to time taken is 15 : 60.

Distance is in miles and length of time is in minutes.

We know that, average speed is given as the ratio of the distance traveled and the length of the time taken.

So, the ratio above is nothing but the average speed of Reese for cycling.

Thus, average speed of Reese is given as:

$\textrm{Average speed}=\frac{Distance}{Time}\\\\\textrm{Average speed}=\frac{15}{60}\ miles\ per\ min\\\\\textrm{Average speed}=\frac{1}{4} = 0.25\ miles\ per\ min$

Therefore, the average speed of Reese is 0.25 miles per minute which is not equal to the one mentioned by Reese as 4 miles per minute.

So, Reese conclusion of her average speed is incorrect. It's not 4 but the reciprocal of 4 which is 0.25 miles per minute.

7 0

4 years ago