Answer:
<h2>Yes they are congruent by SSS criterion </h2>
Step-by-step explanation:
AC=DC. (Given in figure)
AB=BD. (Given in figure
BC=BC. (Common)
that means triangle BAC is congruent to triangle BDC by SSS criterion.
Answer: 129
Step-by-step explanation:
the mean is the average of the data. including x, there are 6 data points
average = total/6
average = (98 + 123 + 105 +114 +109 + x) / 6
113 = (98 + 123 + 105 +114 +109 + x) / 6
113 = (549+ x) / 6
678 = 549 + x
x = 129
Answer:
speed of car A =Speed of car B=0.8 miles/minutes.
Step-by-step explanation:
We are given that speed of car A is equal to speed of car B.
Also let car A travels x miles.
and car B travels y miles.
Car A reaches its destination in 17 minutes.
this means that speed of car A is given by: 
miles/minutes ( since speed is defined as the ratio of distance and time).
Car B reaches its destination in 32 minutes.
This means that the speed of car B is given by: 
miles/minutes
as speed of both cars are equal this means:
------(1)
Also we are given Car B travels 12 miles farther than Car A.
this means 
------(2)
on using equation (1) and (2) we have:
Hence the speed of car A is 0.8 miles/minutes ( since x/17 is the speed of car A)
Speed of car B=0.8 miles/minutes.
Since they are right triangles use Pythagorean Theorem.
a^2 + b^2 = c^2 where c is the hypotenuse.
a. 12^2 + b^2 = 13^2
144 + b^2 = 169
subtract 144 from both sides
b^2 = 25
take the square root of both sides
t = 5 This is also know as a Pythagorean Triple 5-12-13
b. a^2 + 9^2 = 12^2
a^2 + 81 = 144
subtract 81 from both sides
a^2 = 63
take the square root of both sides
a = √63
a = √(9 * 7)
a = 3√7
c. 6^2 + 9^2 = c^2
36 + 81 = c^2
117 = c^2
take the square root of each side
c = √117
c = √(9*13)
x = 3√13
Answer:
Yes
Step-by-step explanation:
