Answer: y = 0.5, x = 50
Step-by-step explanation: Both triangles in the picture are isosceles, telling us that the 2 angles at the bottom are congruent. With this, we can find y by doing the following:
a triangle has 180 degrees so we subtract the given 50 which gives us 130
2(2y + 64) = 130
4y + 128 = 130
y = .5
This means that the bottom 2 angles are both 65. Since the top angle of the second triangle is supplementary to the bottom angle of the first one, the top angle of the second triangle is 115. So, we find x by:
2(45 - x/4) = 65
x = 50
This means the bottom 2 angles of the second triangle are both 32.5.
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
=
+ 
=
+ 
= 196 + 169 = 365
= 365
diagonal =
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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What is the mean of 8,7,6,9,8.5,7.5,10,5.5,7,9,8.5,7,9.5,8,8.5
jek_recluse [69]
Answer:
the mean is 7.93
Step-by-step explanation:
min5.5
median8
max10
Answer:
Cosine graph
Step-by-step explanation:
Mark as brainliest
Answer:
The lines are parallel.
Step-by-step explanation:
Given the lines


Writing the equations in the slope-intercept form

where m is the slope and b is the y-intercept


Thus, the slope = m₁ = -2/3
also

Thus, the slope = m₂ = -2/3
- We know that parallel lines have equal slopes
As
m₁ = m₂
Thus, the lines are parallel.