The value of x is 27°.
Solution:
Given 
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Answer:
Option A y-3=2(x-1)
Step-by-step explanation:
we know that
The equation of a line into point slope form is equal to
y-y1=m(x-x1)
In this problem we have
(x1,y1)=(1,3)
m=2
substitute
y-3=2(x-1)
Answer:
There are no ordered pairs to relate too so i will tell the relation between a pair of numbers and a ordered pair.
Step-by-step explanation:
For an ordered pairs, each point is defined by 2 values.
Answer:
1/10
Step-by-step explanation:
There are two numbers less than 3 (1 and 2), and one number greater than 4 (5).
When the first slip is drawn, there are five slips in the hat, so the probability of a number less than 3 is 2/5.
When the second slip is drawn, there are four slips in the hat, so the probability of a number greater than 4 is 1/4.
Therefore, the total probability is (2/5) (1/4) = 1/10
