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Helga [31]
3 years ago
14

Which angles are vertical angles and, therefore, congruent? 3 lines intersect to form 8 angles. From top left, clockwise, the an

gles are A, B, C, D, H, G, F, E. Angle A and Angle D Angle A and Angle G Angle A and Angle E Angle A and Angle F
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0

Answer:

A and F

Step-by-step explanation:

Given

Intersecting lines

Required

The vertical and congruent angles

The two vertical lines are not parallel. So, we cannot conclude any relationship between angles A, B, E, F and angles C, D, H, G

Comparing angles A, B, E and F; we have:

\angle A = \angle F --- Vertical opposite angles

\angle B = \angle E --- Vertical opposite angles

From the given options,

\angle A = \angle F is true

You might be interested in
3. What are the first four terms of the sequence represented by the expression n(n-1)- 5?
Aloiza [94]

It depends what the starting value of n is defined as

Assuming n starts at 0 it would be:

-5, -5, -3, 1

Assuming n starts at 1 it would be:

-5, -3, 1, 7

4 0
4 years ago
Read 2 more answers
A textbook store sold a combined total of 343 history and chemistry textbooks in a week. The number of chemistry textbooks sold
maria [59]

Let the number of History books be x. Then:-

x + x - 59 = 343

2x = 402

x = 201

So there are 201 History books and (201 - 59) = 142 Chemistry books.


8 0
3 years ago
Find the surface area of a cylinder with a height of 7 m and a base radius of 5 m.
nekit [7.7K]

Answer: 376.8m

Step-by-step explanation:

Total surface area of a cylinder is calculated by 2πrh+2πr2, where π is a constant, given as 3.14, h is the height= 7m and r is radius= 5m

rh = 5m x 7m = 35m while

r^2 = 5m x 5m = 25m

Slot the values into the formula:

V = 2 x 3.14 ( 35) + 2 x 3.14 (25)

V= (6.28 x 35) + (6.28 x 25)

= 219.8 + 157

V= 376.8m

I hope this helps.

5 0
4 years ago
Read 2 more answers
Joanna split three pitchers of water equally among her eight plants. What fraction of a picture did each plant get?
harina [27]
3/8 is the answer...

6 0
3 years ago
A new building that costs $1,000,000 has a useful life of 10 years and a scrap value of $200,000. Using straight-line depreciati
vazorg [7]

Answer:

V = -80,000*t + 1,000,000

Step-by-step explanation:

Given:

- The original cost V_i = $1,000,000

- Scrap Value V_f = $200,000

- Total number of years n = 10

Find:

Using straight-line depreciation, find the equation for the value V in terms of t, where t is in years.

Solution:

- The straight line depreciation method means their is a linear relationship between the value of building and time elapsed till useful life. The linear relationship takes a form:

                                 V = m*t + C

Where,

V: It is the current value of the building

m: The rate at which value increase or decrease with time t

C: The initial value of the building

- We will compute constants m and C as follows:

                               m = (V_f - V_i) / ( 10 - 0 )

                               m = (200,000 - 1,000,000) / 10

                               m = - $80,000/year

                               C = V_i = $1,000,000

- Plug the values of the constants evaluated above in the linear expression:

                                V = -80,000*t + 1,000,000

8 0
4 years ago
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