(a)
A right angle sums to 90
6x + 4x + 10 = 90
10 x = 80
x = 8
(b) straight line = 180
5x + 13 + 3x + 7 = 180
x = 20
(c) Sum of triangle angles = 180
3x + 5 + 2x + 18 + 2x + 17 = 180
x = 20
(d) Sum of two angles in right angle = 90
90 = x + 30
x = 60
Answer:
The perimeter is 43.6 cm
Step-by-step explanation:
In this question, we are tasked with calculating the perimeter of the sector.
Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.
Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius
Let’s calculate the length of the arc.
Mathematically, this is theta/360 * 2 * pi * r
where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm
Thus, we have
135/360 * 2 * 22/7 * 10 = 23.57 cm
Adding two radii to this, we have;
23.57 + 2(10)
= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place
Answer:
The roots of the equation 2m²+3=m are non-real roots.
Step-by-step explanation:
Given equation:
2m²+3=m
2m²-m+3=0
Here, from the equation we can obtain the following values:
a = 2, b = -1, c = 3
Discriminant of an equation is given as:
D = b²-4ac
= (-1)²-4(2)(3)
= 1 - 21
= -20
Discriminant can tell what kinds of roots the equation have.
In our case, the discriminant is less than 0.
When D < 0, the roots of the equation are complex conjugates.(non-real)
8ft = 2yrds and 2 feet
68in= 5ft and 8in
I don't know the last one XD
Answer:
The statement is false.
Step-by-step explanation:
To begin an indirect proof, you assume the converse of what you intend to prove is true. This is false.
Rather the correct answer is that to begin an indirect proof, you assume the inverse of what you intend to prove is true.
The converse can be either true or false, depending on what the original statement is, so assuming the converse is pointless.
