Answer: The first and second angles measure 54 degrees each. The third angle measures 72 degrees.
Step-by-step explanation:
First, I transcribed the sentences into equations.
The first part of the sentence says that "two angles of a triangle have equal measures", and we can use the konwledge that the interioir angle sum of all triangles in 180 degrees to solve this.
Lets call the first and second angles x and the third angle y. Then we can get the equation that 2x + y = 180. You might be asking "where did the 2x come from?", well, we know that if we add all of the angles up we get 180 degrees, and since two of the angles are equal, they can be simplified to 2x.
The second part of the sentence says that "the third angles measure is 36 degrees less than the sum of the other two", which translates to:
y = 2x - 36
Then we can substitute the second equation into the first and solve!
2x + (2x - 36) = 180
4x - 36 = 180
4x = 216
x = 54
Knowing that x = 54, we can substitute back into the first equation to solve for y. 2(54) + y = 180, 108 + y = 180, y = 72.
Answer:
B and C hope this helps ☜(ﾟヮﾟ☜)
Step-by-step explanation:
Answer:
B,C,D,F, those are yhe right answer
Answer: John has 52 marbles in his collection
Step-by-step explanation:
Step 1
LET The number of marbles in John's collection can be represented by x. The and the number of marbles in Erica collection can be represented as =4x+ 10
The total number of marbles in both collections is 270 such that the expression to solve the equation will be
JOHN + ERICA = 270marbles
X + 4X+ 10= 270
Step 2--- solving
X + 4X+ 10= 270
5X+ 10= 270
5X= 270-10
5X= 260
X= 260/5
=52
John has 52 marbles in his collection
Erica has 4x + 10 = 4x 52 + 10=218 marbles
Answer:
53, 57, 59
Step-by-step explanation:
i searched it up
