Answer:
m∠A=90°, m∠B=60°, m∠C=30°
Step-by-step explanation:
step 1
Verify if the triangle ABC is a right triangle
Applying the Pythagoras theorem
----> is true
therefore
Is a right triangle
m∠A=90°
Find the measure of angle C
sin(C)=AB/BC
substitute
sin(C)=6/12=1/2
so
m∠C=30°
Find the measure of angle B
we know that
m∠C+m∠B=90°------> by complementary angles
so
m∠B=90°-30°=60°
Considering High School level question, answer can be written as:
A system of 2 linear equations is [two] dimensional. It is a graph of [two] lines. The solutions can be [unique] solution if the graph intersects. [No] solution if the lines are parallel - meaning they have the same slope, or [Infinitely many] solutions if they are the same line.
Explanation:
when two lines are drawn on a two-dimensional plane then there are only three possible cases:
Case1: lines will intersect
In that case you will get a unique solution at the intersection point.
Case2: lines are parallel but don't touch each other
In that case there will be no point which lies on both lines so No solution.
Case3: lines are overlapping.
In that case all the points lies on both lines so infinitely many solutions.
Answer:
- diagram is below
- 6, 11, 16, 21
- s[n] = s[n-1] +5
- 26, 31, 36
Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Answer:
36 ft
Step-by-step explanation:
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Hence, this is calculated as:
5ft/15ft = 12 ft/Daniela's height
Cross Multiply
5ft × Daniela's height = 15ft × 12ft
Daniela's height = 15ft × 12 ft/5ft
= 36ft
Therefore, Daniela's height = 36 ft
Answer:
I see this
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"
So the answer is none of these.
Please make sure you have the correct problem.
Step-by-step explanation:
A set of points is a function if you have all your x's are different. That is, all the x's must be distinct. There can be no value of x that appears more than once.
If you look at choice A, this is not a function because the first two points share the same x, which is -3.
Choice B is not a function because the first and last point share the same x, which is 6.
Choice C is not a function because the last two points share the same x, which is 3.
Choice D is not a function because the first and last choice share the same x, which is -3.
None of your choices show a function.
If you don't have that choice you might want to verify you written the problem correctly.
This is what I see:
"Which relation is a function?
A {(-3,4),(-3,8),(6,8)}
B {(6,4),(-3,8),(6,8)}
C {(-3,4),(3,-8),(3,8)}
D {(-3,4),(3,5),(-3,8)}"