The smallest of two integers is 61
Step-by-step explanation:
Let x be the smaller integer
Then the next integer will be:
x+1
According to given statement that the sum of both is 123
Subtracting 1 from both sides
Dividing both sides by 2
The smallest of two integers is 61
Keywords: Linear equations, Variables
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<span>180-90-50=40 degrees</span>
It looks like your instructor wants you to write in point-slope form.
the equation for point slope form is quite simple
y-y1=m(x-x1)
your variables:
y and x: just state these as they are
m: slope
y1 and x1: the numbers in the point given
keep in mind a double negative equals a positive, so when you come across a negative coordinate you would put + instead of - in your equation.
your final answer would be
y+2=-2(x-4)
I hope this helped :)
please don't hesitate to ask if you have any more questions
Answer:
£1000, £1400
Step-by-step explanation:
Sum the parts of the ratio 5 + 7 = 12 parts
Divide the amount by 12 to find the value of one part of the ratio.
£2400 ÷ 12 = £200, thus
5 parts = 5 × £200 = £1000
7 parts = 7 × £200 = £1400
Answer:
3. The missing angle is 56°
4. x = 7
Step-by-step explanation:
3.
We know sum of 3 angles in a triangle is 180°.
Looking at the top triangle, we can figure out the third angle. Let third angle be x:
85 + 35 + x = 180
120 + x = 180
x = 180 - 120
x = 60
<u>The angle "x" and the angle that is missing from the "bottom" triangle in the figure, are vertical angles, and hence, are EQUAL.</u>
So the bottom triangle now has 2 angles, 60 and 64 (given). Let the third angle be y(the one with a question mark). So we can write:
60 + 64 + y = 180
124 + y = 180
y = 180 - 124
y= 56
This is the missing angle.
4.
10x - 5 AND 8x + 9 are vertical angles. They ARE EQUAL.
Thus we can write the equation:
(10x-5) = (8x+9)
10x-8x=9+5
2x=14
x=14/2
x=7
So x = 7
