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IrinaVladis [17]
2 years ago
13

How do you do this and what is the answer

Mathematics
2 answers:
Debora [2.8K]2 years ago
5 0
Using angle sum of triangle
105°+48°+x=180°
x=27°
Musya8 [376]2 years ago
4 0

Answer:

x = 27

Step-by-step explanation:

The sum of the angles of a triangle is 180.

180 = 105 + 48 + x

x = 180 - (105 +48)

x = 180 - 153

x = 27 degrees

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Bdhskakaiaggsbsnasnbdbsjsjs simplify c^4/c^3
slava [35]

Answer:

Cancel the common factor of  c^ 4  and  c ^3 .

The answer is c

Step-by-step explanation:

Hope this helps! Have a nice day!

5 0
2 years ago
Read 2 more answers
the diagram shows a star made by surrounding a regular octagon with triangles, explain why angle a must be 135 degrees
horsena [70]

Answer:

From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees

Step-by-step explanation:

Given that the triangles are eight in number we have;

1)  (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down

2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns

3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top

4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°

5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew

6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.

6 0
3 years ago
The speed of the current in a creek is 2mph. A person can kayak 10 mi upstream in the same time that it takes him to kayak 14 mi
ad-work [718]

Answer:

  2 hours

Step-by-step explanation:

The relation between time, speed, and distance is ...

  time = distance/speed

For a kayak speed of k miles per hour in still water, the speed upstream is (k-2) and the speed downstream is (k+2). Over the distances given, the times are the same, so we can write ...

  10/(k-2) = 14/(k+2)

Multiplying by (k+2)(k-2) gives ...

  10(k+2) = 14(k -2)

  10k +20 = 14k -28 . . . . . eliminate parentheses

  48 = 4k . . . . . . . . . . . . . . add 28-10k

  12 = k

Then the time for 28 miles downstream is ...

  time = 28 / (12 +2) = 2 . . . . hours

It will take the person 2 hours to kayak 28 miles downstream.

5 0
3 years ago
que condiciones debe cumplir las medidas de un triangulo para que puedas asegurar que es un triangulo rectangulo
nirvana33 [79]

Answer:

ENGLISH

One of the angles must equal 90 degrees and the other two angles must add up to 90 degrees.

SPANISH TRANSLATION

Uno de los ángulos debe ser igual a 90 grados y los otros dos ángulos deben sumar 90 grados.

3 0
2 years ago
Shu Yi can't resist a sale. She recently bought a dress for $93 after it had been discounted 25%. She also purchased shoes that
klemol [59]
Dress: 93$ at 100-25%=75%
-> divide the marked down cost by the percentage to get the cost of a single percent and then multiply it with the markdown again to get the saved cost
93/75*25=93/3*1=31*1=31$
shoes 119$ at 100-15%=85%
119/85*15=119/17*3=7*3=21

add both savings together for the full sum: 31+21=52$
8 0
3 years ago
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