Answer:
A
Step-by-step explanation:
|-5 - 4|
The expression represents the absolute value of - 5 - 4 ;
-5 - 4 = - 9
|-5-4| = 9
Hence, the distance between the two points is 9.
Hence, the number line which shows the two points is A.
Answer:
The answer is A. Angles are proportional, side lengths are larger.
Step-by-step explanation:
That’s because scale factors greater than one make a shape larger, and the angles are proportional it's the lengths of the size that change.
3951 is an example of a standard form.
What standard form means is the number is written in numerical form.
More examples: 5269, 95862, 125634, etc.
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
