The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows
How to construct a line segment?To construct a line segment, the correct matching of the steps are given below as follows:
Step one: Start with line segment PQ that we will copy.
Step two: Set the compass point on the point P of the line segment to be copied.
Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.
Step four:Mark a point R that will be one endpoint of the new line segment.
Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.
Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.
Step seven pick a point S on the arc that will be the other endpoint of the new line segment.
Step eight: Draw a line from R to S.
Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.
Learn more about line segments here:
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The measures, in degrees, of the three angles of a triangle are given by 2x+1, 3x - 3, and 9x. What is the
measure of the smallest angle?
Answer:
Step-by-step explanation:
27 degrees
In the triangle below, what is the measure of Z?
A. 90°
B. 7°
C. 65°
D. 50°
Answer:
C. 65
Step-by-step explanation:
Y and Z are the same angles so they would have the same measurement.
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)
How to solve for "Find the equation of the line that is perpendicular to y = -2/3x and contains point (4,-8)" ?
Answer:
[tex]y=\frac{3}{2}x+(-14)[/tex]
Step-by-step explanation:
Equation of a line has been given as,
[tex]y=-\frac{2}{3}x[/tex] --------(1)
Slope of the line is,
[tex]m_1=-\frac{2}{3}[/tex]
By the property of perpendicular lines,
If the two lines having slopes [tex]m_1[/tex] and [tex]m_2[/tex] are perpendicular to each other, [tex]m_1\times m_2=-1[/tex]
Therefore, slope of the line perpendicular to the line (1) will be,
[tex]-\frac{2}{3}\times m_2=-1[/tex]
[tex]m_2=\frac{3}{2}[/tex]
If this line passes through a point (4, -8) equation of the line will be,
[tex]y-y'=m_2(x-x')[/tex]
[tex]y+8=\frac{3}{2}(x-4)[/tex]
[tex]y=\frac{3}{2}x-6-8[/tex]
[tex]y=\frac{3}{2}x-14[/tex]
through: (4,4), slope
9/4
Answer:
y - 4 = (9/4)(x - 4)
Step-by-step explanation:
Here we're given the slope (9/4) of a line and one point (4, 4) on the line. The easiest form of the equation of a straight line to use here is the point-slope form:
y - k = m(x - h).
Here h = 4 and k = 4; the slope is m = 9/4.
Thus, the desired equation is
y - 4 = (9/4)(x - 4)
x−115=223
Please help
Answer:
338
Step-by-step explanation:
X - 115 = 223
Add 115 to both the sides
X - 115 + 115 = 223 + 115
x = 338
Answer:
338
Step-by-step explanation:
x - 115 =223
Collect terms
x = 223 + 115
x = 338
Hope this helps you!
pls mark as brainlest ans
Bye!
Y=1/3x+2 Is this a linear equation or nonlinear
Answer:
C
Step-by-step explanation:
i took the test
Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))
Answer:
f(g(4)) = 213
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 8x + 5
g(x) = 7x - 2
Step 2: Find f(g(4))
Substitute in x [Function g(x)]: g(4) = 7(4) - 2Multiply: g(4) = 28 - 2Subtract: g(4) = 26Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5Multiply: f(g(4)) = 208 + 5Add: f(g(4)) = 213[tex]\huge \qquad \boxed{\underline{\underbrace{\mathcal\color{gold}{Answer}}}}[/tex]
Here,
f(x) = 8x + 5 and g(x) = 7x - 2,
we have to find the f(g(4))
1st we have to solve the g(x)
g(x)=7x-2g(4)=7(4)-2g(4)=28-2g(4)=26Now substitute the functional value,
f(g(x))=8x+5f(g(4))=8(26)+5f(g(4))=208+5f(g(4))=213.°. The value of f(g(4)) is 213.
Find the discriminant and the number of real roots for this equation. x^2 + 2x + 8 = 0
A. -28; no real roots B. 32; one real root C. 32; two real roots D.-28; one real roof
Step-by-step explanation:
A is correct option there are no real roots
because discriminant is less than zero
which of the following choices lists the correct values of a,h, and k for the function f(x)=5x^2
Answer:
For a general quadratic equation like:
y = a*x^2 + b*x + c
a is the leading coefficient.
And we define the vertex of this as (h, k)
Where h is:
h = -b/(2*a)
and k is the y-value given when we use x = h.
Now, in this case we have:
f(x) = 5*x^2
We can see that the leading coefficient is 5, then a = 5.
To find the value of h we use:
h = -b/(2*a)
there is no lineal term, thus b = 0, then:
h = -0/(2*5) = -0/10 = 0
and k is given by
f(h) = f(0) = 5*0^2 = 0
then k = 0.
Concluding:
a = 5
h = 0
k = 0
Solve for x. Round to the nearest tenth, if
necessary.
I hope this is help full to u
thank you
Answer:
x = 3.8
Step-by-step explanation:
take 53 degree as reference angle
using cos rule
cos 53 = adjacent/hypotenuse
0.60 = x /6.3
0.60*6.3 = x
3.78 = x
3.8 = x ( after converting the answer to nearest tenth)
write an equation to find x, then solve for angle measure A. 25 points.
Answer:
Step-by-step explanation:
23). By applying triangle sum theorem in the given triangle,
(x + 83)° + (x + 48)° + 65° = 180°
2x + 196 = 180
2x = -16
x = -8
Measure of angle A = x + 48
= -8 + 48
= 40°
Therefore, Option A is the answer.
24). By triangle sum theorem,
(3x + 14)° + 90° + (4 + 3x)° = 180°
6x + 108 = 180
6x = 72
x = 12
Measure of angle A = (4 + 3x)
= 4 + 3(12)
= 40°
Therefore, Option A is the answer.
SOMEONE HELP
ASAP PLEASE
Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.
If y varies directly as x and z, and Y =8/3 when x = 1 and 2 = 4, find y when x = 6 and z = 3.
a.
C.
Y
(03) -
b. y = x; }(6, 3) 27
27
2
vx; (6, 3) =24
» -«xz; "(0, 3) =12
d.
Answer:
D
Step-by-step explanation:
Given y varies directly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = [tex]\frac{8}{3}[/tex] when x = 1 and z = 4 , then
[tex]\frac{8}{3}[/tex] = k × 1 × 4 = 4k ( divide both sides by 4 )
[tex]\frac{2}{3}[/tex] = k
y = [tex]\frac{2}{3}[/tex] xz ← equation of variation
When x = 6 and z = 3 , then
y = [tex]\frac{2}{3}[/tex] × 6 × 3 = [tex]\frac{2}{3}[/tex] × 18 = 2 × 6 = 12
Answer:
the answer to this question is
d.)y=⅔xz;y(6,3)=12
solve 32*25/80 using the power and exponents law
Answer:
the answer is 10 the power of one or 10
Cedarburg's zoo has two elephants. The male elephant weighs 3 3/4 tons and the female
elephant weighs 7/12 of a ton. How much more does the male weigh than the female?
Answer:
3.16666667 tons
Step-by-step explanation:
hope this helps have a good evening
hey yall heres another question i need the answer to ASAP !!!!!
Type the correct answer in each box.
The volume of a cube is given by and the total surface area of a cube is given by , where s is the side length of the cube.
If the side length of a cube is 5 inches, the volume of the cube is ??? cubic inches and its total surface area is ??? square inches.
the question marks stand for where the answers should go.
Answer:
girth is better than length. your welcum ;)
The base of a triangle is 20m and its area is 250m.What is the height of the triangle
Answer:
the height of the triangle is 25
Answer:
height = 25 m
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here A = 250 and b = 20 , then
[tex]\frac{1}{2}[/tex] × 20 × h = 250 , that is
10h = 250 ( divide both sides by 10 )
h = 25 m
Find the surface area of the triangular prism. ______ square centimeters
Step-by-step explanation:
there is answer in the image above
can someone please help for brainlest
Marlon withdrew $25 from his savings account every week for 5 weeks. Which expression is the best choice to help him determine the total amount of money he withdrew?
118°
D
B
angle C= ?
can anybody help pls?
Answer:
∡ c = 118°
Step-by-step explanation:
angle c is 118 degree (being vertically opposite angle)
∡ c = 118°
Answer:
118
Step-by-step explanation:
there is a property that i can't remember the name of that is dealing with angles across a flat line.
another way, is that 118+D=180, so D is 62
so that means D + C = 180, where D is 62 so C must be 118
factorise fully the following expression (am-an+bm-bn)
Step-by-step explanation:
am-an+bm-bn
m(a+b)-n(a+b)
(m-n)(a-b)
Answer:
[tex] \small \sf \: ( m - n ) ( a + b )[/tex]
Step-by-step explanation:
( am - an + bm - bn)
Do the grouping= ( am - an ) + ( bm - bn )
Factor out a in the first and b in the second group= a ( m - n ) + b ( m - n )
factor out common term m - n by using distributive property= ( m - n ) ( a + b )
Solve for x
2x+16 X+16
Answer:
2x(16)+16(16)
32x+256
32x/32=256/32
x=8
JL = x+16
JK+KL = x+16
2x+16+7 = x+16
2x+23 = x+16
2x-x = 16-23
x = 7
Divisibility rules for 2, 5, and 10
Which numbers are divisible by 2?
A)765
B)943
C)940
or none of these
For any number to be divisible by 2 the last digit in the number has to be an even number or the number 0.
A and B end with an odd number so cannot be divided by 2.
C ends with 0 so can be divided by 2
The answer is C. 940
what is 8 to the power of ten?
Answer:
80
Step-by-step explanation:
......................................
What is the highest common factor of 65 and 56?
Jason works 22 hours a week and has a pre-tax paycheck of $660 per week. Last week he had to work 34 hours, how much will his pre-tax paycheck be?
Answer:
$1020
Step-by-step explanation:
660/22=30, this means it's 30 dollars per hour. So you just multiple 30 by the number of hours he's worked (34) to get the answer (1020).
The binomial expression (x+2) (x+3) can be rewritten by using the distributive laws as x(x+3) + 2(x-3)
x(x+2) - 3(x+2)
x(x+3) + 2(x+3)
x(x+3) + 2(x+3)
Answer:
my answer is x(x+3) + 2(x - 3)
Answer:
thanks for the information
Step-by-step explanation:
Which expression is equivalent to 5y^-3
Answer:
5/y^3
Step-by-step explanation:
A newborn baby weighed 133 ounces.
What is the baby's weight in pounds and
ounces? (1 pound = 16 ounces)
Answer: UHHHHH i shall halp ya
Step-by-step explanation:
if its 133 in ounces its 293.215 in pounds
Answer: 8 pounds and 5 ounces
Step-by-step explanation: Do 16 ounces divided by 2 and it will give you 8 or do 8 times 2 which will give you sixteen. I prefer you do the other way and then do 10 dividedy2to get 5 ounces. The cop is 2.