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°.
It's a because the form is y-y1=m(x-x1) and of you put the given information in it will be y+1=-(x+10)
Answer:
49, 17, 4, 18
Step-by-step explanation:
Answer:
a) 150-90 = h(15.25 -9.75)
b) 10.91
Step-by-step explanation:
a) Jennifer has 150 -90 = 60 less in savings than Eduardo, but she is earning 15.25 -9.75 = 5.50 more per hour. An equation she can use to figure her hours is ...
60 = 5.50h . . . . for h hours worked.
In 'raw' form, that might be ...
150 -90 = (15.25 -9.75)h
__
b) Solving the above equation, we get ...
60/5.50 = h ≈ 10.90909 ≈ 10.91 . . . hours
Answer:
20 cm
Step-by-step explanation:
Assuming that the side lengths you've written are the only side lengths of the shape, meaning it would be a trapezoid, all you do is add them up together.
3 + 5 + 5 + 7 = 20
