Answer:
50
Step-by-step explanation:
Angle 1 is 110.
Angle 3 is 2x plus 10.
Angle 1 and 3 are vertically opposite angles.
And vertically opposite angles r equal.
Which means, angle 1=angle 3,and angle 2=angke 4.
Here we only Need angle 2 and 3.
Angke 2= angle 3.
Which is 2x plus 10=110.
Therefore 2x=110-10=100
Therefore x = 100÷2=50
There u have it ma'am.
Answer:
15 feet
Step-by-step explanation:
The question talks about;
- A rectangular flower bed whose dimensions are 12 ft by 9 ft
We are required to determine the length of the diagonal
To answer the question, we need to know the following;
- All the angles in a rectangle are right angles
- A diagonal divides a rectangle into two right-angled triangles
- The dimensions of the rectangle acts as the legs of right angled triangle.
Therefore;
Using Pythagoras theorem;
a² + b² = c²
Where, c is the hypotenuse (in this case the diagonal)
a and b are the shorter sides of the right-angled triangle
Therefore;
c² = 12² + 9²
c² = 144 + 81
= 225
c = √225
= 15
Therefore, the length of the diagonal is 15 feet
Answer:
The last option: 27 times the original volume.
Step-by-step explanation:
The dimensions are tripled so and we are talking volumes so:
The factor of enlargement is 3^3 = 27.
An acute angle has a measure between 0 degrees and 90 degrees.
An obtuse angle has a measure between 90 degrees and 180 degrees.
Your answer is the numerator
The denominator would be a power of 10. Then you could simplify
