Answer:
Perpendicular lines are lines that intersect at right angles.
Step-by-step explanation:
I'm assuming that your question is asking what the term is for two lines that intersect at a right angle. If I'm correct then your answer is perpendicular lines.
Hope this helps
So the unit rate is basically how many ounces in 1 cup?
So since there are 64 ounces in 8 cups, you can just divide by 8, to find how many sets of 8 there are in 64.
64 = 8
64 / 8 = 8 / 8
8 = 1
So there are 8 ounces in 1 cup, which is your unit rate.
Answer:
12 year old is the youngest sibling
Step-by-step explanation:
Given: The ages of three siblings are all consecutive integers.
The sum of sibling´s age is 39.
Now, finding the age of youngest sibling.
Lets assume the age of youngest sibling be "x"
As given, The ages of three siblings are all consecutive integers.
∴ Age of 2nd sibling will be 
Age of 3rd sibling will be 
next, forming an equation for the sum of sibling´s age.
⇒
Opening the parenthesis
⇒ 
⇒
Subtracting both side by 3
⇒
⇒
Dividing both side by 3
⇒
∴ x= 12
Subtituting the value of x to find the age of other sibling
∴Youngest sibling age= 12 years
2nd sibling age= 13 years
3rd sibling age= 14 years
Hence, The youngest sibling is 12 years old.
answer:
x = 29
y = 29
z = 61
step-by-step explanation:
all angles in a triangle must equal 180 degrees.
we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.
the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.
so to figure out y,
we must add 61+90 and then subtract the sum of that from 180.
so, 61+90 = 150 and 180-151 = 29
therefore,
we can conclude that y = 29
now, to determine the degrees of x and z we do the same thing.
we already know one angle equals 90 degrees.
180-90 = 90
that concludes that x and z must have a sum of 90.
if we use our choices,
39+61 = 100 (no)
39+29 = 68 (no)
29+61 = 90 (CORRECT)
29+29 = 28 (no)
<em>therefore, x = 29 and z = 61</em>
<em></em>
<em>so, in total :</em>
<em>x = 29</em>
<em>y = 29</em>
<em>z = 61</em>
<em></em>
<em>hope this helps :)
</em>
<em>-audrey <3
</em>
Answer:
(0, 3 )
Step-by-step explanation:
Given the 2 equations
x + 3y = 9 → (1)
- 2x + 2y = 6 → (2)
Multiplying (1) by 2 and adding to (2) will eliminate the x- term
2x + 6y = 18 → (3)
Add (2) and (3) term by term to eliminate x, that is
0 + 8y = 24
8y = 24 ( divide both sides by 8 )
y = 3
Substitute y = 3 into either of the 2 equations and solve for x
Substituting into (1)
x + 3(3) = 9
x + 9 = 9 ( subtract 9 from both sides )
x = 0
solution is (0, 3 )
