Answer:
<em>h = 8.54 units</em>
Step-by-step explanation:
<u>The Law of Cosines
</u>
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

Since we know the values of all three side lengths, we solve the equation for x:

For the triangle ABC in the image, a=10, b=15, c=13, thus:



Thus, A = 58.67°
For the right triangle of height h and hypotenuse 10, we use the sine ratio:

Solving for h:

h = 8.54 units
Answer:
50 + 100n
Step-by-step explanation:
The cost is the cost of the visit plus the cost of the cavities
50 + 100n where n is the number of cavities
Answer:
The equation of the line would be y = -2x + 7
Step-by-step explanation:
In order to solve this, use the point and the slope in point-slope form. Then solve for y.
y - y1 = m(x - x1)
y - 5 = -2(x - 1)
y - 5 = -2x + 2
y = -2x + 7
Answer:
Step-by-step explanation:
I can't make specific statements about the proof because the midpoint is missing.
Givens
There are two right angles created by where the perpendicular bisector meats MN. Both are 90 degrees.
MN is bisected by the point on MN where the perpendicular meets MN
The Perpendicular Bisector is is common to both triangles.
Therefore the two triangles are congruent by SAS
PM = PN Parts contained in Congruent triangles are congruent.
An
chọn A
Step-by-step explanation:
3x-5>= 4x-3
<=>x <= -2( -2;-3;-5)