Answer:
The two numbers are <em>13</em> and <em>48</em>.
Step-by-step explanation:
We can create two simultaneous equations to solve this question using the information given.
Let number 1 = x
Let number 2 = y
x + y = 61 -> ( 1 )
x = y + 35 -> ( 2 )
We can solve simultaneous equations using substitution or elimination. For this question, we will use substitution as it is the easier and shorter option.
Substitute ( 2 ) into ( 1 ):
x + y = 61 -> ( 1 )
( y + 35 ) + y = 61
2y + 35 = 61
2y = 26
y = 26 / 2
y = 13 -> ( 3 )
Substitute ( 3 ) into ( 2 ):
x = y + 35 -> ( 2 )
x = ( 13 ) + 35
x = 48
Therefore:
x = 48 , y = 13
Answer:
C. 3(2x + 5y) is the algebraic expression equivalent to the expression
Step-by-step explanation:
From the question, the given expression is 6x + 15y.
Factorizing this expression gives 3(2x + 5y). Hence, the algebraic expression equivalent to the expression 6x + 15y is 3(2x + 5y). (Option C).
Checking the remaining options
A. 3(2x - 5y)
Expanding this gives 6x - 15y. It is not equivalent to the given expression
B. 3(5x - 2y)
Expanding this gives 15x - 6y. It is not equivalent to the given expression
D. 3(5x + 2y)
Expanding this gives 15x + 3y. It is not equivalent to the given expression.
Hence, C. 3(2x + 5y) is the algebraic expression equivalent to the expression.
Answer: She is incorrect because she should have squared each leg length and then found the sum.
The Pythagorean Theorem is a² + b² = c² not (a+b)²=c² as written.
Answer:
C
Step-by-step explanation:
Answer:
X= 3
Y= 18
Each side of the triangle= 10 units
Step-by-step explanation:
LMN is equilateral so
LM = MN
3x+1= 4x-2
3x-4x = -2-1
-x = -3
X= 3
MP is the perpendicular bisector of line LN
so definitely angle lpm =90.
And lpm = 5y = 90
5y = 90
Y= 90/5
Y = 18°
For the side of the triangle
3x+1
But x= 3
3(3)+1
9+1
10
Each side of the triangle= 10 units