<h3>Answers:</h3>
The value x is x = 15
The three sides of the triangle are
x+10 = 25
2x-5 = 25
3x-15 = 30
==================================================
Work Shown:
The curved angle markers indicate those two angles are the same measure. The sides opposite those angles are the same length. So 2x-5 and x+10 are the same value
2x-5 = x+10
2x-x = 10+5
x = 15
Once we know x, we can find the length of each side
x+10 = 15+10 = 25
2x-5 = 2*15-5 = 30-5 = 25
This also helps confirm we have the right x value (since we got the same value for each expression)
3x-15 = 3*15-15 = 45-15 = 30
This is an isosceles triangle because exactly two sides are the same length.
The nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
<h3>What is an arithmetic sequence?</h3>
An arithmetic sequence is defined as a sequence of numbers where the differences between every two consecutive terms is the same through out the sequence.
The nth term of an arithmetic sequence is expressed as;
an = a + ( n - 1) d
Where;
- a is the first term
- n is the number of terms
- d is the common difference
Substitute the values
an = -7 + ( n - 1) 6
Thus, the nth term of the arithmetic sequence is Tn = -7 + ( n - 1) 6
Learn more about arithmetic sequence here:
brainly.com/question/6561461
#SPJ1
Answer:
75 degrees
Step-by-step explanation:
The shape is a trapezoid. When finding angle measurements in trapezoids:
Angle A + Angle C = 180 degrees
Angle B + Angle D = 180 degrees
Because you need to find the angle of B, we will use Angle B + Angle D = 180 degrees to solve this. Angle D is 105 degrees, so 105 + Angle B = 180. 180-105 equals 75, so angle B is 75 degrees.
Answer:
$7,718
Step-by-step explanation:
Given that :
Cost of car in 2007 = $34000
Cost of car in 2014 = $16200
Predicted value of car in 2021
Lets obtain the percentage Depreciation (d) :
Worth (A) of car in 2014 = $16200
Time (t) = 2014 - 2007 = 7 years
Initial cost (I) = price in 2007
A = I(1 - d/100)^7
16200 = 34000( 1 - d/100)^7
16200 = 34000(1 - 0.01d)^7
(16200/34000)^1/7= 1 - 0.01d
0.8995 = 1 - 0.01d
0.01d = 1 - 0.8995
d = 0.1005 /0.01
d = 10.05
Value of car in year 2021:
t = 2021 - 2007 = 14 years
A = I(1 - 10.05/100)^14
A = 34000(1 - 0.1005)^14
A = 34000(0.8995)^14
A = 34000 * 0.2269950
A =7717.83100
Approximate worth = $7718
Answer:
33% is 55% of 0.6
Step-by-step explanation:
yUH
