Answer:
93
Step-by-step explanation: The first term of AP is -5 and second term means -3.
Common difference(d) = second term - first term
d = (-3)-(-5)
d= 2
Now using the formula of nth T
n
=a
1
+(n−1)d
Here a
1
=−5,n=50,d=2
Puting these values in the formula of of nth term we get
a
n
=−5+(50−1)2
a
n
=−5+98
a
n
=93
Answer:
shown in explanation
Step-by-step explanation:
a) ∆EPB similar to ∆ERG
b) angle BEP = angle GER (common angle shared)
angle EPB = angle ERG (corresponding angles, PB//RG, parallelogram)
therefore through Angle-Angle similarity test, ∆EPB is similar to ∆ERG
or explanation can also be shortened to
∆EPB is similar to ∆ERG (AA, similarity)
c) since proven they are similar ∆, then we can proceed to use property of ratio of corresponding sides being equal
RG = 200+300=500m
cross multiply (from what I've learnt)
2ep+700=5ep
ep= 700/3 = 233 ⅓m (answer for length EP)
Do the same for length BE(using ratio of corresponding sides)
cross multiply again to get:
5BE = 2BE + 800
BE = 800/3 = 266 ⅔ m (answer for length BE)
The value (y2) of r = 1/2.
This question relates to equation of a straight line but we are looking for the slope in this case.
<h3>Slope</h3>
This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as
Data given;
- x1 = 3
- x2 = -3
- y1 = 5
- y2 = r
- m = 34 or 3/4
Substitute the values into the equation and solve for the unknown
NB; we are assuming that the slope here is 34 and not 3/4.
cross multiply both sides and make r the subject of formula
the value of r = -199.
This is not mathematically obtainable and we would use 3/4 as the value of slope
The most logical value of r = 1/2
Learn more on slope here;
brainly.com/question/4074386
9.8 pounds in ounces is 156.8
Hope this helped!!
Answer:
Step-by-step explanation:
The point slope form of a line is where . We write
Since the line is parallel to the line shown it will have the same slope. To find m, count the slope from each marked point on the graph. Count the rise then the run and create a fraction rise/run. The slope is 6/4 which simplifies to 3/2. Now substitute it for m.