Answer:
73°
Step-by-step explanation:
Given: BD=BE
∠DBE= 50°
∠EAC= 42°
DE//AC and AE=CD
Attach is the new drawn diagram with M point.
∵ we know BD=BE, ∴ ∠BDE=∠BED= x ( taking x as unknown angle)
Remember, sum of triangle= 180°
Now, ∠BDE+∠BDE+∠DBE= 180°
⇒ 
⇒ 
Subtracting both side by 50, then dividing both side by 2
∴ 
°
We know, ∠MAC= ∠MCA= 42° (∵AM=MC)
Next, ∠EDC=DCA= 42° ( ∵ Alternate interior angle as we know DE//AC )
Now, we have ∠EDC= 42°, ∠BDE= 65°
∴ 
° (∵sum of straight line= 180°)
⇒ 
°
⇒
°
Subtracting both side by 107
∴∠ADC= 
°
∴∠ADC= 73°
Answer:
The answer to your question is 12.55 cm
Step-by-step explanation:
Data
Adam Cara
height = 159 cm height = 140 cm
shadow = 105 cm shadow = x
Process
1.- To solve this problem use the Thales' theorem
Cara's shadow / Cara's height = Adam's shadow / Adam's height
- Substitution
x / 140 = 105 / 159
-Solve for x
x = 105 (140) / 159
-Simplification
x = 14700 / 159
x = 92.45 cm
Cara's shadow is 92.45 cm long.
2.- If both shadows are in line, then Cara must walk forward
105 - 92.45 cm
12.55 cm
Answer:
The Slope of a line formula is given by
m=y2 - y1/ x2 - x1
Now Form a triangle using the straight line(It'd be best if you choose known Points on the graph)
Picking points (1, 2) and (2, 5) connect these points and you'll have a small triangle.
x1 y1 x2 y2
Substituting into the formula
m=5-2/2-1
m=3.
5.2 is the y-intercept of the regression line 5.2 + 13.5x
Answer:
there is no file or picture
Step-by-step explanation:
Attach a pdf
