109. 85 the mixed number 109 85/100
Answer:
57°
Step-by-step explanation:
∠LOM and ∠MON are complementary angles, so they add up to 90.
This means that:
3x-15 + 5x-23 = 90 =>
8x - 38 = 90 =>
x = 128/8 = 16
So m∠MON = 5*16 - 23 = 57°
Answer:
$20,800
Step-by-step explanation:
There are 52 weeks in a year, therefore, do 100 x 52 = $5,200
You earn $5,200 a year, for 4 years so do 5,200 x 4 = $20,800
Answer and step-by-step explanation:
Here is the proof!
- UR II ST - Given
- m<USR = m<SUT - Alternate interior angles
- m<R = m<T = 90º - Given
- US = US - Reflexive property
- Triangle RSU = Triangle TUS - AAS {2,3,4}
Hope this helps!!
Answer:
y = -7(x +1)² +35
Step-by-step explanation:
The given quadratic equation has two parameters you are asked to find. When you fill in the given point values, the result is two linear equations in the two unknown parameters. You can solve these equations in any of the usual ways.
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<h3>equation for point (1, 7)</h3>
y = a(x +1)² +k
7 = a(1 +1)² +k
7 = 4a +k
<h3>equation for point (2, -28)</h3>
-28 = a(2 +1)² +k
-28 = 9a +k
<h3>solution</h3>
The first equation can be subtracted from the second equation to eliminate the k variable. (This is solving by <em>elimination</em>.)
(-28) -(7) = (9a +k) -(4a +k)
-35 = 5a . . . . . . . . simplify
-7 = a . . . . . . . . divide by 5
Using the first equation, we can find k.
7 -4a = k . . . . . subtract 4a
7 -4(-7) = k . . . . substitute for 'a'
35 = k
The parameter values are a = -7, and k = 35. The quadratic equation is ...
y = -7(x +1)² +35