Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
Her hair grew 3.6 inches between the beginning of March and the beginning of June
Answer: See below
Step-by-step explanation:
Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table
1 2 3 4 5 6 7 8 9 10......
3 6 9 12 15 18 21 24 27 30......
We see that in each set of numbers the 2nd number is 3 times the first number.
If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.
Answer:
D
Step-by-step explanation:
To keep it short, refer to triangle exterior angle theorem.
Edit: If you want the full explanation,
A isn't the answer. The triangle exterior angle states that the measure of the 2 triangle interior add up to the the exterior angle of the other interior angle within the triangle.
Meaning that
measure of angle 1 equal the measure of 3 and 4 combined.
B. is wrong they are equal to each other because angle 2 is equal to angle 2
angle 1 is equal to angle 3 and 4
So they are equal
C.Wrong unless it a 30 60 90 triangle or 45 45 90 triangle, C is wrong
D. is right since measure of angle 4 and angle 3 add up to angle 1, angle 4 would be lesser than angle 1.
Hey there!
When we're adding with different denominators, our goal is to keep the equivalent fraction, but create like denominators.
Let's think of an easier situation. If we have the number 5 and we want an equivalent number, we multiply by one. It's no different with fractions. We want to multiply by some version of one, like 2/2 or 4/4
For example, if we have:
2/8 + 4/6
Our LCM is 24. Therefore, we multiply 2/8 by 3/3:
2/8(3/3) = 6/24
And 4/6 by 4/4:
4/6(4/4) = 16/24
As you can see, we multiplied by versions of 1, so they're still the same fraction.
We have:
16/24 + 6/24 = 22/24 = 11/12
Hope this helps!
