Let x be the time she ran and y be the time she walked
then distance ran = 25x and distance walked = 5y
so 15x + 5y = 42
and x + y = 4
* second equn. by -5:-
-5x - 5y = -20
add this to the first equn:0
10x = 22
x = 2.2
distance she ran = 2.2 * 15 = 33 km
Problem 1
We're given that angle A = angle B. Also that angle B = angle C.
By the transitive property, we can say angle A = angle C.
So basically all three angles are equal to one another. Let's call that unknown angle x.
For any triangle, the three angles always add to 180, so,
x+x+x = 180
3x = 180
x = 180/3
x = 60
That proves angles A,B, and C are each 60 degrees. This triangle is considered equiangular since all angles are the same. Furthermore, the triangle is also considered equilateral meaning all sides are the same. The term equilateral is more widely used, so I'd go with that term if you could only pick one.
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Problem 2
As mentioned in problem 1, the three angles of a triangle add to 180
A+B+C = 180
A+B+90 = 180
A+B+90-90 = 180-90
A+B = 90
This shows A and B are complementary angles. Complementary angles by definition add to 90 degrees.
Answer:
a=8
Step-by-step explanation:
-5(a+3)=-55
First you times the bracket by -5
-5a-15=-55
Then you add the 15 to -55 because since the 15 is a negative on the right it has to be the opposite to the left
-5a=-40
Then you divide both sides by negative 5
-5a . = . -40
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- 5 -5
a= 8
Cones only have one base
Prisms may have more than one base
Triangular prisms only have one base, but rectangular prisms have two bases
Answer:
5 + k
Step-by-step explanation:
Kasey can mow the lawn five minutes faster than Trisha
Which means that it takes Trisha 5 MORE minutes then Kasey to mow the lawn
If Kasey mows the lawn in "k" minutes than Trisha will mow the lawn 5 more minutes then "k"
This can also be expressed as an expression: k + 5, as Trisha takes 5 more minutes to mow the lawn
