Answer: The length of BC is 22 units.
Explanation:
It is given that the Triangle ABC with horizontal side BC. Vertex A lies above side BC. Angle B and angle C are marked congruent. The length of side AC is labeled as 2x-24. The length of side AB is labeled as x-2. The length of side B C is labeled as x.
If two angles of a triangle are same it means the triangle is an isosceles triangle.
Since the angle B and C are congruent therefore the lines AB and AC are same.
Since the side BC=x therefore the measure of BC is 22 units.
Given two points; (x₁,y₁) and (x₂,y₂) the slope is:
m=(y₁-y₂) / (x₁-x₂) or m=(y₂-y₁) / (x₂-x₁)
In this case:
(4,3)
(5,2)
m=(5-4)/(2-3)=1/-1=-1
Answer: the slope is -1
A) since the ratio of green peppers to pureed tomatoes is 1:4, the tomatoes have 4 times the amount of mL as the peppers, so there are 20mL of green peppers he should mix with 80 mL of pureed tomatoes.
Answer:
Step-by-step explanation:
Vertex A of the triangle ABC when rotated by 90° counterclockwise about the origin,
Rule to be followed,
A(x, y) → P(-y, x)
Therefore, A(1, 1) → P(-1, 1)
Similarly, B(3, 2) → Q(-2, 3)
C(2, 5) → R(-5, 2)
Triangle given in second quadrant will be the triangle PQR.
If the point P of triangle PQR is reflected across a line y = x,
Rule to be followed,
P(x, y) → X(y, x)
P(-1, 1) → X(1, -1)
Similarly, Q(-2, 3) → Y(3, -2)
R(-5, 2) → Z(2, -5)
Therefore, triangle given in fourth quadrant is triangle XYZ.