Answer:
144
Step-by-step explanation:
<u>Data:</u>
<em>Emily's age</em> : 46 years old
<u>Find Colin's age</u>
<em>Colin's age</em>: 11 years older than Emily
Emily's age + 11
46 + 11 = 57 years old
<u>Find Dan's age</u>
<em>Dan's age</em>: 5 years younger than Emily
Emily's age - 5
46 - 5 = 41 years old
<u>Find their combined ages</u>
<em>Combined ages</em>: Emily's age + Colin's age + Dan's age
<em>Combined ages </em>= 46 + 57 + 41
Total = 144
Therefore, the total of their combined ages is 144.
Answer:
m∠HMO=102°
Step-by-step explanation:
we know that
In a Rhombus the diagonals bisect the angles and opposite angles are equal
In this problem
Angles HMO and HTO are opposite angles
m∠HMO=m∠HTO
m∠HTM=(1/2)m∠HMO ----> because the diagonals bisect the angles and opposite angles are congruent
substitute the values
solve for x
<em>Find the measure of angle HMO</em>
m∠HMO=(12x-6)°
substitute the value of x
m∠HMO=(12(9)-6)=102°
see the attached figure to better understand the problem
First differences are 2, 4, 8, 16, which is a geometric sequence. The parent function is not linear (constant first difference) or quadratic (first difference increases by the same amount from one to the next). When the first differences are a geometric sequence, the underlying sequence is a geometric (exponential) sequence.
1st blank: exponential
Translation up adds a constant to each of the f(x) values.
2nd blank: f(x)
3rd blank: increased by 5<span>
For the last blank, you're looking for an (x, f(x)) pair that is translated to (x, f(x)+5).
4th blank: </span><span>(2, 16)</span>
Answer:
c
Step-by-step explanation:
80/10=8. so answer is c
