1. a) Find the y-intercept of the line, then you find the slope the line, and then you can write the equation in y-intercept form, which is y=mx+b, m is the slope and b the y-intercept.
y= x+70 is the equation
b) 70
c) 120
When considering similar triangles, we need congruent angles and proportional sides.
Hence
"Angles B and B' are congruent, and angles C and C' are congruent." is sufficient to prove similarity of two triangles.
"Segments AC and A'C' are congruent, and segments BC and B'C' are congruent." does not prove anything because we know nothing about the angles.
"Angle C=C', angle B=B', and segments BC and B'C' are congruent." would prove ABC is congruent to A'B'C' if and only if AB is congruent to A'B' (not just proportional).
"<span>Segment BC=B'C', segment AC=A'C', and angles B and B' are congruent</span>" is not sufficient to prove similarity nor congruence because SSA is not generally sufficient.
To conclude, the first option is sufficient to prove similarity (AAA)
The value of x is 5
The length of line AB is 5 inches
The length of BC is 15 inches
Answer:
1.
Tan 45=√2/n
n=√2
again
sin 45=√2/m
m=2
answer:<u> </u><u>m</u><u>=</u><u>2</u><u>,</u><u>n</u><u>=</u><u>√</u><u>2</u>
<u>2</u><u>.</u>
sin 45=x/3
x=3/√2=3√2/2
y=3√2/2
<u>a</u><u>n</u><u>s</u><u>:</u><u>x</u><u>=</u><u>3√2/2</u><u>,</u><u>y</u><u>=</u><u>3√2/</u><u>3</u>
<u>3</u><u>.</u>
sin 45=a/4
a=4/√2
b=4/√2
ans:<u>a</u><u>=</u><u>4</u><u>/</u><u>√</u><u>2</u><u>,</u><u>b</u><u>=</u><u>4</u><u>/</u><u>√</u><u>2</u>
4.
b=4 base sides of isosceles triangle
sin 45=4/a
a=4√2
ans:<u>a</u><u>=</u><u>4</u><u>√</u><u>2</u><u> </u><u>and</u><u> </u><u>b</u><u>=</u><u>4</u>
Answer:
X < 31
Step-by-step explanation: