Let x=the first number
Then x+7=second number
And 4(x+7)+2=third number (2 more than 4 times the second)
Now we are told that:
x+(x+7)+(4(x+7)+2)=85 get rid of parentheses
x+x+7+4x+28+2=85 simplify
6x+37=85 subtract 37 from each side
6x+37-37=85-37
6x=48
x=8---first number
x+7=8+7=15 second number
4(x+7)+2=4*15+2=62 third number
CK
8+15+62=85
85=85
Step-by-step explanation:
5x-3y-4=0---------(1)
Slope = - coefficient of X/ coefficient of y
= -5/(-3)
= 5/3
(x1,y1)= (-5,7)
Equation of the line,
Y-Y1= slope(X-X1)
Y-7= (5/3)×(X-(-5))
Y-7= (5x+25)/3
3y-7=5x+25
5x-3y+32=0 is the required eqn
Answer:
4. QT and RT are 2 sides of an equilateral triangle.
5. Congruent by SAS
Step-by-step explanation:
All sides of an equilateral triangle are equal in length.
Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a<em><u /></em>²+b²=c²
However, it can also be written in the form of c²=a²+b²
In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.
As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.
3²=9 and 4²=16.
As you're looking for C, you've got to add these together
9+16=25
As a²+b²=c², this means that the answer for C is the square root of 25.
√25= 5
Hope this has been able to help you :)
