76 -55= 21
76 is decreased by 21.
We initially start with 76, so now we have to divide 21 by 76:
21/76* 100%= 27.63%
Rounded to the nearest tenth, the final answer is 27.6%~
Problem 12)
You are correct. You solve the system
x+1 = 3y
3x-4 = 5y+1
for x and y to find that x = 5 and y = 2
As a check
x+1 = 3y
5+1 = 3*2
6 = 6 ... true equation
and
3x-4 = 5y+1
3*5-4 = 5*2+1
11 = 11 ... true equation
Both equations are true when (x,y) = (5,2) so the answer is confirmed
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Problem 13)
Unfortunately the diagram is cut off so its impossible to say at the moment. Please repost this one. Thank you.
Here’s my answer from desmos!
Answer:
Area = 127.5cm²
Step-by-step explanation:
Given that,
Length of first side = 8 cm
Length of second side = 15 cm
Length of third side = 17cm
To find,
Area of triangle
to find which of the sides is hypotenuse use Pythagorus theorem
hypotenuse² = height² + base²
17² = 8² + 15²
289 = 289
hence 17 is the hypotenuse and other two are height and base
<h2>Area of triangle = 1/2 height * base</h2>
Area of triangle = 1/2 15 * 17
Area of triangle = 1/2 (255)
Area of triangle = 127.5
Answer:
Step-by-step explanation:
Here the given data are ;
m ║n , m∠ 1 = 65° , m∠2 = 60°
And BD bisects ∠ABC .
So first calculating the value of ∠ ABD = 180° - 65° - 60° = 55°
∵ BD bisects ∠ABC ,
So ∠DBC = 55°
Now , ∠ BRA = 180° - 55° - 55° = 70°
Since the line m and n are parallel ,
m∠6 = ∠BRA = 70°
HENCE PROVED.
I am attaching an image of diagram to better understand my solution.