Answer:
14√2
Step-by-step explanation:
This is a 45-45-90 triangle
Because both of the angles are the same all sides, but the hypotonouse are the same
this means that the other length is 14 too
we can use a²+b²=c² to solve
14²+14²=c²
=
392=c²
√392=c
√392=14√2
Answer: The correct answer is option C: 67
Step-by-step explanation: So we have four different lines intersecting at one point or the other and these are lines m, n, s and t. Also lines m and n are parallel, so we shall start from there. If lines m and n are parallel, then angle 74 along line n is equal to angle 9X + 2 along line m {corresponding angles are equal}. Therefore
9x + 2 = 74
9x = 74 - 2
9x = 72
Divide both sides of the equation by 9
x = 8.
Also the angle bounded by the intersection of lines m and s equals 74 {opposite angles are equal} because it’s opposite angle 9x + 2 and it’s also alternate to angle 74.
Looking at angle 5x - 1 along line t, substitute for the value of x
= 5(8) - 1
= 40 - 1
= 39
Therefore if angle 5x - 1 is calculated as 39, observe carefully that lines m, t and s intersect to form a triangle. The angles in the triangle are 39, 74 and S (labeled as angle 2). To calculate angle S,
S + 39 + 74 = 180 {Sum of angles in a triangle equals 180}
S + 113 = 180
Subtract 113 from both sides of the equation
S = 67
Therefore angle 2 equals 67 degrees.
A translation 5 units to the right , followed by a 180-degree counterclockwise rotation about the origin
Answer:
the width is 0.7 feet
Step-by-step explanation:
Well we know that area = length * width. We know both the area and length, but not the width. Let's substitute the area and length in this equation, and substitute x for the width.
7 = 10 * x, or 7 = 10x
Now, solve for the width, or x, by dividing both sides by 10.
7(/10) = 10x(/10)
7/10 = x
Simplify 7/10 = 0.7
So the width of the banner is is 0.7 ft!
Answer:
192
Step-by-step explanation:
The sum of the first 3 terms of the A. P is
a + a + d + a + 2d = 18, that is
3a + 3d = 18 ← substitute a = 4
12 + 3d = 18 ( subtract 12 from both sides )
3d = 6 ( divide both sides by 3 )
d = 2
Thus the first 3 terms are
4, 6, 8 and their product = 4 × 6 × 8 = 192
