Answer:
Step-by-step explanation:
Use the slope-intercept formula: 
where m is slope and b the y-intercept.
Use the slope formula for when you have two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Simplify parentheses (negative+negative=positive)
Simplify
2 is the slope:
Now use one of the points to find the y-intercept by substituting the x and y values into the equation. Solve for b:
(4,7)
The y-intercept is -1. Insert into the equation. Change the + symbol to -:
Done.
Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.
Since we are given the lengths of 2 sides with the angle in
between, therefore by cosine law we can only construct 1 triangle from this. By
stating the angle in between, this constricts the possible number of triangles
that can be formed into 1.
By calculation, the length of the 3rd side is
calculated using cosine law:
c^2 = a^2 + b^2 – 2abcosθ
c^2 = 10^2 + 8^2 – 2(10)(8)cos40
c = 6.44 cm
ANSWER:
1 triangle
Answer:
d = 18
Step-by-step explanation:
a = 3;
therefore
d = 4a + 6
d = 4(3)+ 6
d = 12 + 6
d = 18
Answer:15/27(third option is the correct answer)
