<h3>
Answer:</h3>
25
<h3>
Step-by-step explanation:</h3>
The angle sum theory says that the sum of all the interior angles in a triangle is 180 degrees.
Finding X
To solve for y, we must first find x. This way we know 2 of the interior angles. Luckily, angle x is a part of a linear pair.
- Linear Pairs are 2 adjacent angles that create a straight line together. This means that the sum to 180 degrees.
Angle x and the angle with a measurement of 115 form a linear pair. Thus, we can create an equation to find x.
By subtracting 115 from both sides we know that x = 65.
Solving for Y
Now that we know x, we can find y. We know that one of the interior angles is 65 and that the other is 90 degrees. The square marking the bottom angles in the middle show that they are right angles.
- Right angles are usuaslly denoted with a square drawn in the angle and have a measurement of 90 degrees.
Lastly, we can create a formula to find y with the angle sum theory.
Combine like terms
Subtract 155 from both sides
This means that the angle y is 25 degrees.
Step-by-step explanation:
first you have to see the triangle BCD
then hypotheses and perpendicular are given so you have to find base
after finding base. In rectangle ABCD DC is length and BC is breadth so now you can find area by using the formula A = l×b
Answer:
system of equations are
y=53x + 10, y=55x
Step-by-step explanation:
y=mx+b where x is the number of tickets purchased and y is the total cost.
We need to frame the equation for each option
Option 1: $53 for each ticket plus a shipping fee of $10
1 ticket cost = 53
So x tickets cost = 53x
shipping fee = $10 so b= 10
So equation becomes y=53x + 10
Option 2: $55 for each ticket and free shipping
1 ticket cost = 55
So x tickets cost = 55x
shipping fee =0 so b= 0
So equation becomes y=55x
Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
