Step-by-step explanation:
vector AB(3-(-6); 5-7)
vector AB(9;-2)
AB=
=
M is the midpoint of AB
we have B(-5;10) and M(1;7)
let A(x;y)
(x-5)/2 = 1 ⇒ x-5 = 2⇒ x = 7
(10=y)/2 = 7⇒ 10+y = 14 ⇒y= 4
so : A(7;4)
the center of the circle is the midponit of the line joining both ends of the diameter
let A(x;y) be the other end
(-2+x)/2 = 2 ⇒ -2+x = 4⇒ x= 6
(5=y) = -1 ⇒ 5+y = -2 ⇒ y= -7
so the coordinates of the other end are (6; -7)
A,B and C are collinear such as AB=BC so b is the midpoint of AC
(-5+1)/2 = y ⇒ y = -4/2 ⇒ y = -2
((-3=x)/2 = 7 ⇒ -3+x = 14 ⇒ x = 17
so x= 17 and y = -2
Answer:
80.84
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
The given expression is

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.
Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.
Therefore, the required expression is
.
<u>Quadrilaterals</u> are <em>plane shapes</em> that are <u>bounded</u> by four <u>straight</u> sides. Thus, the required answers to the questions are:
46. True. Other examples include kites, rhombus, etc.
47. False.
46. When a <em>plane shape</em> is <u>bounded</u> by four <u>straight</u> sides of equal or different lengths, it is called a <u>quadrilateral</u>. Examples include trapezium, kite, rhombus, rectangle, square, etc. Each of these examples has individual <u>properties</u>.
Thus the required answer to question 46 is; <u>True</u>. It can be observed that with respect to their <em>individual properties</em>, other <u>quadrilaterals</u> which have a pair of <em>opposite angles</em> to be <u>equal</u> include: kite, rectangle, rhombus, etc.
47. A <em>ray segment</em> is a given <u>line</u> that <u>points</u> or <u>heads</u> in a specific direction. So that the direction in which the ray moves is very<em> important</em>.
Thus in the given question, the <u>required</u> answer is; False. This is because the<u> two</u> given rays are moving in opposite directions. Though the two rays may have the <u>same</u> length of the <u>segment</u>.
For more clarifications on the properties of quadrilaterals, visit: brainly.com/question/21774206
#SPJ 1
Answer:
m∠C = 44°
Step-by-step explanation:
In ΔCDE,
m∠C=(4x−16) ∘
m∠D=(6x−1) ∘
m∠E=(4x−13) ∘ .
The sum of angles in a triangle = 180°
Step 1
We solve for x
m∠C + m∠D + m∠E
(4x−16)° + (6x−1)° + (4x−13)° = 180°
4x - 16 + 6x - 1 + 4x - 13 = 180°
4x + 6x + 4x -16 - 1 - 13 = 180°
14x - 30 = 180°
14x = 180+ 30
14x = 210
x = 210/14
x = 15
Step 2
Find m∠C
m∠C = (4x−16)°
m∠C = (4 × 15 - 16)°
m∠C = (60 - 16)°
m∠C = 44°