Answer:
Step-by-step explanation:
Hi there!
We are given the line segment, with the end points AB
The coordinates of A are (-5, -4), and the coordinates of B are (-3, 3).
We want to find the midpoint of the line segment AB
The midpoint formula is given as 
, where 
and 
are coordinates
We have two coordinates, which is what we need, but let's label their values to avoid any confusion:
Now substitute those values into the formula:
Now simplify the numerator and denominator
Simplify again:
The midpoint is (-4, 
)
Hope this helps!
Answer: 8
Step-by-step explanation:
Pythagorean theorem - a^2+b^2=c^2
a^2+15^2=17^2
a^2+225=289
(subtract 225 from both sides)
a^2=64
(sq root both sides)
a=8
Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
Answer:
58.1 degrees
Step-by-step explanation:
Given the following
JK = 9.4miles (towards south) negative y axis
If the move 15.1 miles towards east (that will be towards the positive x axis)
Using the SOH CAH TOA identity
opposite= 15.1 miles(side facing m<J)
adjacent= JK = 9.4miles
tan theta = opposite/adjacent
tan m<J = 15.1/9.4
tan m<J = 1.6063
m<J = arctan (1.6063)
m<J = 58.09 degrees
Hence the measure of m<J to the nearest tenth is 58.1 degrees
