All categories

2 years ago

What type of angle is it? What is the measurement?

Geography

1 answer:

romanna [79]2 years ago

8 0

Below I have included an image that has the measure of all of the angles on it.

We can find the measures of the angles here due to the laws about complimentary angles. A pair of complimentary angles can be formed when 2 lines are perpendicular, and when added together, will always equal 90. The pair are the angles that are not directly adjacent from each other. In this figure, "x" and "(4x-10)" are a pair. According to another law, opposite angles, or adjacent angles, will always be equal to each other. Using the logic above is how we can find the measure of all angles.

Since one angle has a box, we know the lines are perpendicular, and that the laws of complimentary angles apply. We can also use that to see that the angle diagonal from it is equal to 90.

To solve for the other measures, we need to add the 2 equations together and set them equal to 90 (because of that law we talked about before).

x+(4x-10)=90
5x-10=90
+10+10
5x=100
/5 /5
x=20

Now that we know x equals 20, we can substitute that value in and solve.

x=20

=(4x-10)
=(4*20-10)
=(80-10)
=70

We also know this is correct because 20 and 70 equal 90.

You might be interested in

a rural kansas watershed that is ungauged has an area of 475 acres and a main channel length of 6870 feet with an average slope

dlinn [17]

Answer:

$\mathbf{Q_p =682 \ \ ft^3/s}$

Explanation:

Given that:

Area = 475 acres

The length of the channel (L) = 6870 feet

The average water shield slope (S) = 100 feet/mile

Since; 1 mile = 5280 feet

Burst duration D = 15 min

∴

100 feet/mile = 100/5280

The average water shield slope (S) = 5/264

Using hydrograph method:

The time of concentration $t_c = 0.0078L^{0.77} S^{-0.385}$

where;

L = 6870

S = 5/264

$t_c = 0.0078(6870)^{0.77} (\dfrac{5}{264})^{-0.385}$

$t_c =32.34$ min

Since 60 min = 1 hour

32.34 min will be (32.34*1)/60

= 0.539 hour

Lag time $T_l = 0.67\times t_c$

$T_l = 0.67\times 32.34$

$T_l = 21.6678\ min$

The time to peak i.e

$T_p = \dfrac{D}{2}+ T_L \\ \\ T_p = \dfrac{15}{2}+ 21.6678 \\ \\ T_p = 29.168 \ min$

$T_r = \dfrac{T_p}{5.5} \\ \\ T_r = \dfrac{29.1678}{5.5} \\ \\ T_r = 5.30 \ min$

Since D = 15 min is not equal to $T_r$ , then we hydrograph apart from $T_r$ duration lag time.

Then;

$T_p \ ' = T_p + \dfrac{D-t_r}{4} \\ \\ T_p \ ' = 29.168 + \dfrac{15-5.30}{4} \\ \\ T_p \ ' = 31.593$

Now, we need to determine the peak discharge $Q_p$ by using the formula:

$Q_p = \dfrac{484 \times A}{T_p \ '}$

where

484 = peak factor

Recall that A = 475 acres, to miles, we have:

A = 0.7422 mile²

$T_p \ ' = 31.593/60$

∴

$Q_p = \dfrac{484 \times 0.7422}{\dfrac{31.593}{60}}$

$\mathbf{Q_p =682 \ \ ft^3/s}$

7 0

2 years ago

Which jet stream affects weather in South Africa?

Xelga [282]

Its a because northen subtropical jet stream are strong up theree than any where else

4 0

3 years ago

Read 2 more answers

Which of the following statements about monsoons are correct?

Mamont248 [21]

"Monsoon climate is good for rice farming", "Weak monsoon seasons lower agricultural output" and "Monsoons can cause devastating landslides and floods" are the statements <span>about monsoons that are correct. The correct options among all the options that are given in the question are options "A", "C" and "D".</span>

7 0

2 years ago

Read 2 more answers

Please give me the answers if you tell the right ones ill give brainiest

Svetradugi [14.3K]

Answer:

where is the question

Explanation:

3 0

2 years ago

How will HIV & AIDS impact negatively to humans and the economy

Katyanochek1 [597]

Answer:

HIV/AIDS affects economic growth by reducing the availability of human capital. Without proper prevention, nutrition, health care and medicine that is available in developing countries, large numbers of people are falling victim to AIDS.

6 0

2 years ago