Answer:
x = 2√2
y = 2√6
Step-by-step explanation:
Consider the ratio of the two legs of the two smaller interior right triangles. (refer to attached diagrams for the triangles - I have outlined one in blue and the other in red)
These will be equal since the triangles are similar
shorter leg : longer leg
(blue triangle = red triangle)
⇒ x : 4 = 2 : x
⇒ x/4 = 2/x
⇒ x² = 8
⇒ x = √8
⇒ x = 2√2
Now we have x, we have the two legs of the right triangle with hypotenuse labelled y.
Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse)
⇒ 4² + (2√2)² = y²
⇒ y² = 24
⇒ y = √24
⇒ y = 2√6
Answer:
The mode is the number that is repeated most often, but all the numbers in this list appear only once, so there is no mode. The largest value in the list is 7, the smallest is 1, and their difference is 6, so the range is 6.
Step-by-step explanation:
give that other guy a brainliest
Answer:
<u>Angle 1</u>= 180 - 110 = 70 (straight angle)
<u>Angle 2</u> = 180 - 115 =65 (straight angle)
<u>Angle 3</u>= angle 2 =65 (corresponding alternating angles)
<u>Angle 4</u> =180 - angle3 = 180 - 65 = 115 (straight angle)
<u>Angle 5</u> = 180 - angle 1 - angle 3= 180 - 70 - 65 = 45 (sum of triangle angles is equal to 180)
<u>Angle </u><u>6</u> = angle 5= 45 ( interior alternating angles)
<u>Angle</u><u> </u><u>7</u><u> </u>= angle 6= 45 (vertical opposite angles)
<h3>

</h3>
Answer:
16.6%
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Because they are using the number line: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20