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:
(2,-2)
Step-by-step explanation:
y=-4x+6
y=3x-8
plug the y's in for each other to get:
-4x+6=3x-8 <----- solve from there
+8 +8
-4x+14=3x
+4x +4x
14=7x
/7 /7
x=2
now plug the x in to get y (in any problem)
y=3(2)-8
y=6-8
y=-2
<em>(2,-2)</em>
Answer:
both linear and nonlinear
The best way to do this is to make up values for the sides.
Say the lengths of square B's sides are each 4 cm. That means A's sides are 2 cm.
So, the area of square B is 4^2 = 16 cm^2, and A's area is 4 cm^2. We can see the shaded area is half of A, so it's 2 cm^2.
What percent of 16 is 2?
2 / 16 * 100 = 12.5%
Answer:
The area of the triangular sail is 216 ft²
Step-by-step explanation:
Since the sail is triangular, we solve the area using the area of a triangle
Area of triangle = 1/2 of base × height
base is 18 and height is 24
Area = 1/2 × 18 × 24
= 9×24
= 216 ft²
