Answer:
(B) 30
Step-by-step explanation:
Imagine you drew a line from Point T until it touched Line PR. Let's call that point where it touched Line PR "Point Z".
That line (called Line TZ) would be perpendicular to PR, forming a 90 degree angle.
Now, TZW is a triangle.
To find x, we need to find the angle measurment of Angle ZTW.
This is where we use the hexagon.
A hexagon's interior angle sum is 720, meaning each interior angle is equal to 120 degrees. So Angle UTS would equal 120 degrees.
However, Line TZ bisects that 120 degree angle, so Angle ZTW would equal 60 degrees (because 120/2 = 60).
Now we have two angles of the triangle: 90 & 60.
A triangle's interior angle sum is 180.
Add 90 & 60, which is 150, and subtract 150 from 180.
The result is 30, which is the angle measurement of x.
Hope it helps (●'◡'●)
S.p=315 loss percent =10% c.p=rs=xc.p=?
Given:
S.P. = 315
Loss percent = 10%
To find:
The C.P.
Solution:
Let x be the C.P.
We have,
S.P. = 315
Loss percent = 10%
[tex]S.P.=C.P.-10\%\text{ of }C.P[/tex]
[tex]315=x-\dfrac{10}{100}x[/tex]
[tex]315=x-0.1x[/tex]
[tex]315=0.9x[/tex]
Divide both sides by 0.9.
[tex]\dfrac{315}{0.9}=x[/tex]
[tex]350=x[/tex]
Therefore, the cost price (C.P.) is 350.
PLEASE HELP ME ILL MARK YOU BRAINLIEST !!!!!!!!!!
Step-by-step explanation:
(1/2) / (1/3) = (1/2)(3/1) = 3/2 miles per hour = 1.5 miles per hour
Answer:
Step-by-step explanation:
to find the unit rate, which is what we are looking for, we have to divide the number of miles by the number of hours. Specifically:
[tex]\frac{\frac{1}{2} }{\frac{1}{3} }[/tex] and to work this out, we bring up the bottom fraction and flip it to multiply, giving us:
[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] which is [tex]\frac{3}{2}[/tex] miles per hour (which is the same thing as walking a mile and a half every hour). The choice you're looking for is the one that reflects 3/2 miles per hour. (I can't see which choice it is; they're too small!)
3
49:51
What is the solution to the system that is created by the equation Y =-X+6 and the graph shown below?
10
8
6
4
-10-8-6-44
2
4 6
8 10 x
4
46
-8
10
O (-8,-4)
O (-4,-2)
(4.2)
(6.3)
Mark this and retum
Save and Exit
Next
Submit
Which equation is correct?
x – 17 = 4
x – 4 = 17
x + 4 = 17
x + 17 = 4
Answer:
1 and 2.....then 3 is a different question
What is the value of x?
0 14
0 17
O 27
O 34
PLEASE HELP
(d) X(-12) = 132
help me with equations
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
What is the measure of arc BC?
А
o
50°
25
E
C
D
pls help if u can:)
Answer:
arc BC = 100°
Step-by-step explanation:
The inscribed angle BEC is half the measure of its intercepted arc BC , then
arc BC = 2 × 50° = 100°
which one ?
it says i need 20 characters so i’m just typing this
f(b) = 7b^3 +8b and g(b) = b ^2+ b - 10. What is f(b)-g(b)?
Answer:
[tex]{ \bf{f(b) - g(b) : }} \\ { \tt{ = ( {7b}^{3} + 8b) - ( {b}^{2} + b - 10)}} \\ = ( {7b}^{3} - {b}^{2} + 7b + 10)[/tex]
Answer:
[tex]f(b) - g(b) = 7b^3 -b^2 + 7b +10[/tex]
Step-by-step explanation:
[tex]f(b) = 7b^3 + 8b \\\\g(b) = b^2 + b - 10\\\\f(b) - g(b) = (7b^3 + 8b ) - ( b^2 + b -10)[/tex]
[tex]= 7b^3 + 8b - b^2 - b + 10\\\\=7b^3 - b^2 +7b + 10[/tex]
Solvex - 7x - 34 = 10 halo pls helppppppp
Answer:
x-7x-34=10
-6x-34=10
Step-by-step explanation:
x=-22/3
please help i have to resit math final so bare with me
help me with this equation : x^2 - 7 = 0 IN QUADRATIC EQUATION
PS. 1st one to answer gets a brainly crown :)
A nursery sells English, tea, and miniature rosebushes in red, pink, yellow, and white. How many
different types of rosebushes could you buy?
is this year 3 math? Its 4
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
Could somebody explain this to me please
Answer:
it will be 50°
Step-by-step explanation:
I'll give you some of the other answers to see if you get it:
m <1 : 180-50 =130
m <5: 180
m <4: 180
m<7: 50
Step-by-step explanation:
I'm not good at geometry but I was trying to explain that you need to follow all your rules at geometry so that you canget your answer right
hello what I can say to you is that you need to follow the rules whereby they say the corresponding angles to the exterior angles then make sure that you follow all the rules that straight line add up into 180 degrees say for example a is equal to b
If a jelly bean machine contains 16 pink jelly beans, 34 blue jelly beans, 24
black jelly beans, and 26 purple jelly beans, what is the probability that a jelly
bean chosen at random will be pink?
Answer:
There are 16 pink jelly beans.
There are 16+34+24+26=100 jelly beans in total.
The probability is 4/25, or 16%.
Step-by-step explanation: hope this helps and gl :)
Answer:
The answer is 4/25
Step-by-step explanation:
Hope this helps
The composite figure is made up of a rectangle and two pentagons. Find the area. 5 5 34 S 5 A. 129 sq. units O B. 122.4 sq. units C. 225 sq. units D. 140 sq. units
Answer:
Option D, 140 sq. units
Step-by-step explanation:
Area of the rectangle part, 11*5 = 55 sq. units
Area of the pentagon part (3.4*5)*5/2 = 42.5 sq. units
Total area,
55+2*42.5 sq. units (since there are two pentagons)
= 55+85 sq. units
= 140 sq. units
rization
Vhat is the prime factorization of 180?
Select a composite number to break into factors. Continue
factoring until all factors are prime.
22•2•3•3.5
2.2.45
2.3.3.5
480
2.9.5
Answer:
5 3 3 2 2
Step-by-step explanation:
180
90 2
45 2 2
15 3 2 2
5 3 3 2 2
Answer:
180 = 5 × 3² × 2²
Step-by-step explanation:
Starting with 180, the prime factors are in bold
180 = 90 × 2
= 45 × 2 × 2
= 15 × 3 × 2 × 2
= 5 × 3 × 3 × 2 × 2
Then
180 = 5 × 3 × 3 × 2 × 2 = 5 × 3² × 2²
Which descriptions from the list below accurately describe the relationship between QRS and TUV? check all the apply.
Answer:
The triangles are similar.
Step-by-step explanation:
They are similar because they have the same angles. They may be the same size, but it would be best to refer to whatever definition you were given.
The correct descriptions from the list accurately describe the relationship between QRS and TUV is,
⇒ Similar
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Two triangles are shown in figure.
Here, All the corresponding angles are same in both triangles.
And, The ratio of their corresponding sides are,
In triangle TUV;
⇒ 90 / 108 = 30 / 36
In triangle QRS;
⇒ 30 / 36
Hence, The correct descriptions from the list accurately describe the relationship between QRS and TUV is,
⇒ Similar
Learn more about the triangle visit;
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Please help me I don’t understand I have been working on this question for 14 minutes!!!m
Answer:
<A = <B
=> 8x - 8 = 5x + 25
<=> 3x = 33
<=> x = 11
with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰
Answer:
x=11
B=80
Step-by-step explanation:
8x-8=5x+25
3x=33
x=11
B=5(11)+25
B=80
:. In the diagram below, AC is congruent to CE and D is the midpoint of CE. If CE = 10x + 18, DE = 7x - 1, and BC = 9x - 2, find AB.
Answer:
25
Step-by-step explanation:
Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.
To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,
7x-1 = 1/2(10x+18)
expand
7x-1 = 5x + 9
add 1 to both sides to separate the 7x
7x = 5x + 10
subtract 5x from both sides to separate the x
2x = 10
divide both sides by 2 to separate the x
x=5
Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.
Using x=5, we know that BC = 9(5) -2 = 43
Therefore, AB = AC-BC = 68-43 = 25
D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.
Since DE = 7x-1, which also means CD = 7x-1.
CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.
Therefore, x = 5 and CE = 68.
Since AC is congruent to CE, AC = 68.
Assuming the point B is somewhere between AC.
Since BC = 9x-2 and x = 5, which means BC = 43.
AC - BC = AB, so 68 - 43 = 25.
Therefore, AB = 25
What is the area of this figure
Answer:
178m squared
Step-by-step explanation:
make 3 rectangular shapes
shape 1 ) 18×5=90
shape 2) 13×6= 78
shape 3) 5×2=10
Add up all the answers and that's the ans
90+78+10=178
Which of the following is the function for the graph shown?
Answer:
D
Step-by-step explanation:
The zeros from the graph, where it crosses the x- axis are
x = - 2 and x = 3 , then the corresponding factors are
(x + 2) and (x - 3) , then
y = a(x + 2)(x - 3) ( where a is a multiplier )
To find a substitute any point on the graph into the equation
Using (0, - 6 )
- 6 = a(0 + 2)(0 - 3) = a(2)(- 3) = - 6a ( divide both sides by - 6 )
1 = a
y = (x + 2)(x - 3) ← expand using FOIL
y = x² - x - 6 → D
What are the factors of 2x2 + 3x - 54? Select two options.
2x - 9
2x - 6
O 2x + 6
OX-6
O x + 6
Step-by-step explanation:
Therefore, the factors are x + 6 and 2x − 9.
The factors of the polynomial are (2x-9)(x+6)
What is factor?Factors are the numbers that can divide a number exactly. Hence, after division, there is no remainder left. Factors are the numbers you multiply together to get another number. Thus, a factor is the divisor of another number.
Given is a polynomial 2x²+3x-54, we need to find its factors,
So,
Factors :-
= 2x²+3x-54
= 2x²+12x-9x-54
= 2x(x+6)-9(x+6)
= (2x-9)(x+6)
Hence, the factors of the polynomial are (2x-9)(x+6)
Learn more about factors, click;
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On evaluating the expression 10(x - 20y) + 100x, the answer will be
Answer:
110x -200y
Step-by-step explanation:
10(x - 20y) + 100x
Distribute
10x-200y +100x
Combine like terms
110x -200y
Answer:
110x−200y
Step-by-Step Explanation:
Given:
10(x−20y)+100x
First Step: Distribute
(10)(x)+(10)(−20y)+100x
10x+−200y+100x
Second Step: Combine Like Terms:
10x+−200y+100x
(10x+100x)+(−200y)
110x+−200y
Answer:
=110x−200y
Using Euler's formula, how
many edges does a polyhedron
with 5 faces and 5 vertices have?
[?] edges
Euler's Formula: F + V = E + 2
Answer:
8 edges
Step-by-step explanation:
Form the formula F+V=E+2
U make E the subject by moving everything thing else to the left hand side
F+V-2=E
this implies 5+5-2=E
10-2=E
therefore Edges = 8
The polyhedron with 5 faces and 5 vertices has 8 edges.
To determine the number of edges in a polyhedron with 5 faces and 5 vertices using Euler's formula (F + V = E + 2).
we need to substitute the given values into the equation.
Given:
Number of faces (F) = 5
Number of vertices (V) = 5
Substituting these values into Euler's formula, we have:
5 + 5 = E + 2
Simplifying the equation:
10 = E + 2
Subtracting 2 from both sides:
E = 10 - 2
E = 8
Therefore, the polyhedron with 5 faces and 5 vertices has 8 edges.
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Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2
Answer:
x = 6 units
Step-by-step explanation:
For θ = 30°, Perpendicular is 3. Hypotenuse is x.
We can use trigonometry to find x.
[tex]\sin(30)=\dfrac{P}{H}[/tex]
[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]
So, the value of x is equal to 6 units.
The average human body contains about 40 L of water. What is the total amount of water contained in the 6.4 billion people in the world? Show each step in your solution. Express your answer in scientific notation.
Answer:
2.56 * 10^11 L
Step-by-step explanation:
1 body has 40 L
Thus, the amount in 6.4 billion would be;
40 * 6.4 * 10^9
= 256 * 10^9
= 2.56 * 10^2 * 10^9
= 2.56 * 10^11 L
What is the standard form equation of the line shown below? Graph of a line going through negative 1, 5 and 2, 4
Answer:
y = -1/3x + 14/3
Step-by-step explanation:
We have the standard equation as;
y = mx + b
where m is the slope and b is the y-intercept
the given points are;
(-1,5) and (2,4)
So we plug x and y for each of the points
then we create two linear equations which we can solve simultaneously to get the values of m and b
From the points;
5 = -m + b•••••••(i)
4 = 2m + b
from i;
b = 5 + m
substitute this into equation ii
4 = 2m + 5 + m
4 = 3m + 5
4-5 = 3m
3m = -1
m = -1/3
Recall;
b = 5 + m
b = 5-1/3
b = 14/3
so we have the equation as;
y = -1/3x + 14/3
Multiply through by 3
3y = -x + 14
There are 103 pounds of wood pieces in a bag. Each wood piece weighs 53 pounds. How many wood pieces are there in the bag?
Answer:
Approximately 2
Step-by-step explanation:
103 divided by 53 is 1.94
Round 1. 94 up to a whole number is approximately 2 wood pieces.
question in picture, math.
Answer:
beginning of march 4.1
beginning of jun 6.4
Step-by-step explanation: