Answers
3x+x=180
4x=180
x=180/4
x=45.
3x=135
135+y=180
y=180-135
y=45
45+z=180
z=180-45
z=135
In conclusion, x=45, 3x=135, y=45 and z =135
Also note that the opposite angles are equal so you can just find 3x and that will be equal to z and x will be equal to y.
Hope this helped
Step-by-step explanation:
We have ,
x = y ( vertically opposite angles ) 3x = z ( ,, )As we know ,
Complete angle = 360° x + y + 3x + z = 360° x + x + 3x + 3x = 360° 8x = 360° x = 45°Hence ,
x = 45° y = x = 45° z = 3x = 45*3 = 135° 3x = 135°.Related Questions
The product of four and a number C is decreased by five?
Answers
pls answer ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
46, 57 , 67
Step-by-step explanation:
Acute scalene triangle : A triangle in which all three angles are less then 90 degrees and all three angles are different measurements .
have a good day
May I please receive help?
Answers
Answer:
Parallel: y=2x+3
Perpendicular= 1/2x+6
Find the difference. 8.6 − 2.87
Answers
Answer:
5.73
Step-by-step explanation:
The difference is 5.73.
HELP PLEASE
Write each number as a logarthm with base 3.
0
1
-2
4
Answers
Answer:
See belowStep-by-step explanation:
Let the number is x in each case.
Use the property below:
logₐc = b ⇒ aᵇ = c or vice versaWe have:
[tex]log_3x = 0 -->x = 3^0=1 -->log_31=0[/tex][tex]log_3x = 1 -->x = 3^1=3 -->log_33=1[/tex][tex]log_3x = -2 -->x = 3^{-2}=1/9 -->log_3(1/9)=-2[/tex][tex]log_3x = 4 -->x = 3^4=81 -->log_381=4[/tex]Answer:
[tex]\log_31=0[/tex]
[tex]\log_33=1[/tex]
[tex]\log_3\left(\frac{1}{9}\right)=-2[/tex]
[tex]\log_{3}81=4[/tex]
Step-by-step explanation:
[tex]\textsf{Apply log law}: \quad \log_ax=c \iff x=a^c[/tex]
Therefore:
[tex]\log_3x=0 \implies x=3^0=1[/tex]
[tex]\log_3x=1 \implies x=3^1=3[/tex]
[tex]\log_3x=-2\implies x=3^{-2}=\dfrac{1}{3^2}=\dfrac{1}{9}[/tex]
[tex]\log_3x=4 \implies x=3^4=81[/tex]
Additionally, the logarithm of 1 with any base is always zero:
[tex]\log_a1=0[/tex]
The logarithm of the same number as the base is always 1:
[tex]\log_aa=1[/tex]
how do you use subsitution for5x+2y=4
Answers
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5*x+2*y-(4)=0
Equation of a Straight Line
1.1 Solve 5x+2y-4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+2y-4 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000
y-intercept = 4/2 = 2
Calculate the X-Intercept :
When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000
x-intercept = 4/5 = 0.80000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -5.000/2.000 = -2.500
Geometric figure: Straight Line
Slope = -5.000/2.000 = -2.500
x-intercept = 4/5 = 0.80000
y-intercept = 4/2 = 2
Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve?
Answers
Answer:
Two hours later his brother leaves from first and maple and comes after him on a moped travelling 27 mph, His uphill speed was 8 miles per hour slower than his downhill speed.
Step-by-step explanation:
_____13. Public opinion polls are only estimates because (A) random digit dialing has replaced person-to-person interviewing. (B) all surveys have a sampling error. (D) samples of fewer than one million people are too small. (E) opinion polls have been deemed ineffective by political candidates.
Answers
Answer:
(B) all surveys have a sampling error.
Step-by-step explanation:
THANK YOU TO WHOEVER DOES THIS <3
Answers
Answer:
2436 cubic centimeters
Step-by-step explanation:
11 * 14 = 154
14 * 7 / 2 = 49
154 + 49 = 203
203 * 12 = 2436
THERES A PHOTO HELP ME PLS
Answers
The Y axis is : 345
Which of the following will you construct in this lesson?
parallelogram
hexagon
pentagon
octagon
rectangle
Answers
Answer:
parallelogram
hexagon
octagon
rectangle
Step-by-step explanation:
Answer:
parallelogram
hexagon
octagon
rectangle
Find the GCF for the pair of numbers. 9,4
Answers
The GCF of numbers is the greatest common factor of the numbers.
The numbers are given as: 4 and 9.
Factorize both:
[tex]\mathbf{4 = 1 \times 2 \times 2}[/tex]
[tex]\mathbf{9 = 1 \times 3 \times 3}[/tex]
The common factor between both is 1.
So, we have:
[tex]\mathbf{GCF = 1 }[/tex]
Hence, the GCF of 4 and 9 is 1
Read more about GCFs at:
https://brainly.com/question/20061154
plss help me for with this math..
Answers
Answer:
Step-by-step explanation:
3. x^2 +3x=54
x^2 +3x -54 = 0
(x-9)(x+6) = 0
x = 9 and x = -6
4. X^2 - 10x + 21 [(x - 7)(x - 3)
From the story the Black cat why did the man take out the cats eye
Answers
Answer:
Removing the cat's eye is the beginning of the end, so to speak, for the narrator. Until that moment, the cat had thus far escaped his drunken cruelty, so this act signifies that the narrator had reached a certain mental point: there were no longer any limits to his violent behavior.
Step-by-step explanation:
Here's a question ~
p1 and p2 are points on either of the two lines
[tex]y - \sqrt{3} |x| = 2[/tex]
at a distance of 5 units from their point of point of intersection. Find the coordinates of the foot of perpendiculars drawn from p1 , p2 on the bisector of the Angle between the given lines.
Answers
Answer:
(0, 5√3/2 + 2)Step-by-step explanation:
Given is the absolute value function.
Observations:
It has a slope of ±√3 and the y- intercept of 2.There is no horizontal shift, so the the y-axis is the line of symmetry.The y-axis is also an angle bisector of the two lines.The foot P₁P₂ is parallel to the x-axis since it's perpendicular to the y- axis.We need to find the coordinates of intersection of the line P₁P₂ with the y- axis (the point Y in the picture).
Consider the triangle AYP₂.
We know AP₂ = 5.
The angle YAP₂ is:
arctan (1/√3) = 30°The distance AY is:
AY = AP₂ cos 30° = 5*√3/2The distance from the x-axis to the point Y is:
5√3/2 + 2, added the y- intercept of the graphed linesThe coordinates of the point Y:
(0, 5√3/2 + 2)write the equation of the line perpendicular to the given line y - 2 = 1/4 (x+2)
Answers
The oldest elephant at a zoo eats 162 pounds of hay per day. This elephant eats 3 times as much hay as the youngest elephant. How much hay does the youngest elephant eat per day?
A 54 pounds
B 59 pounds
C 53 pounds
D 64 pounds
Answers
Answer:
A.54
Step-by-step explanation:
because 162 divided by 3 equal 54.3
PLEASE HELP!!!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m
Answers
Plsss help me with this question!!!
Answers
69-15=54
54 divided by 2 = 27
WILL GIVE BRAILIST TO PERSON WHO ANSWERS CORRECTLY!!
For FHG find the measure of the smallest angle ∠HFG, if m∠GHF = 92° and m∠HGF =72°
Answers
Answer:
The Answer is 16
Step-by-step explanation:
The three angles enclosed in a triangle, made by its sides, are called its internal angles. The sum of internal angles of a triangle is
180
o
. Based on its internal angles, a triangle can be classified as acute angled, right angled and obtuse angled.
Your Welcome! :)
The sum of the measure of angle of a triangle = 180° .
Given two angles = 92° and 72°
_________________________
92° + 72° = 164°
180° - 164° = 16° (Ans)
eight times the difference of a number and 7. write in algebraic expression.
Answers
Answer:
8(n - 7)
Step-by-step explanation:
let the number be n then the difference of n and 7 is n-7
8 times this difference is
8(n - 7)
Answer: 8(n-7)
Step-by-step explanation:
it should be that <3
find the next two terms of the sequence 1.1 , 2.2 , 3.3, 4.4, ….. A) 4.5, 5.5 B ) 5.6 C) 5.6, 6.7 D) 5.5, 6.6
Answers
Answer:
D)
Step-by-step explanation:
Please show the process of how you got your answer. Thank you! Much appreciated. :)
Answers
Answer:
The answer is 2a^3\sqrt11a
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Answer:
2[tex]2\sqrt{11} a^{3} \sqrt{a}[/tex]
Step-by-step explanation:
Apply Radical rule: ([tex]\sqrt{ab}= \sqrt{a}\sqrt{b}[/tex])
Which gets you:
[tex]\sqrt{44a^{7} }=\sqrt{44}\sqrt{a^{7} }[/tex]
= [tex]\sqrt{44} \sqrt{a^{7} }[/tex]
Simplify and gets you the answer above
Help me show my work on 13.
Answers
Answer:
Just show basic multiplication skills that we learned in 3th grade i suppose since your teacher dosen't have a brain to figure this out
3.5m/min = how manny miles/hour
Answers
Answer:
[tex]\sf\longmapsto0.13 miles/hour[/tex]
Step-by-step explanation:
Firstly we have to use the formula to find the miles/hour
[tex]\sf\longmapsto \: Formula:Divide \: the \: speed \: value \: by \: 26.822.[/tex]
[tex]\sf\longmapsto \: 3.5 \div 26.822[/tex]
[tex]\sf\longmapsto \: 0.13 miles/hour[/tex]
HELP ASAP 100 POINTS!
Functions can be defined using graphs, tables, and ordered pairs. What is the range of a function?
The range is the input.
The range is all numbers.
The range is the output.
The range is any x-value.
Answers
Answer:
the range is the set of possible output of values
Step-by-step explanation:
The range is the set of y-values (OUTPUT) that map to the set of x-values (INPUT).
parallelogram ABCD with vertices A(6,8) B(10,9) C(9,3) and D(5,2): 90 counterclockwise rotation about P(4,1)
A ( , )
B ( , )
C ( , )
D ( , )
Answers
Answer:
A(-3 , 3) B(-4 , 7) C(2 , 6) D(3 , 2)
Step-by-step explanation:
Rotation of the parallelogram about the point P(4, 1), is done by taking
point P as the origin, and using relative coordinates for the rotation.
[tex]\underline{A(-3, \, 3)}[/tex][tex]\underline{B(-4, \, 7)}[/tex][tex]\underline{C(2, \, 6)}[/tex][tex]\underline{D(3, \, 2)}[/tex]Reasons:
The given parameters are;
Vertices of the parallelogram ABCD are;
A(6, 8), B(10, 9), C(9, 3) and D(5, 2)
Point about the parallelogram is rotated = P(4, 1)
Angle of rotation = 90°
Direction of rotation = Counterclockwise
90° rotation counterclockwise of (x, y) about the origin gives → (-y, x)
Therefore, we have;
The given points relative to the point P are;
A'(6-4, 8 - 1) = A'(2, 7)
B'(10 - 4, 9 - 1) = B'(6, 8)
C'(9 - 4, 3 - 1) = C'(5, 2)
D'(5 - 4, 2 - 1) = D'(1, 1)
Therefore, we get;
A'(2, 7) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] A''(-7, 2)
B'(6, 8) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] B''(-8, 6)
C'(5, 2) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] C''(-2, 5)
D'(1, 1) [tex]\underrightarrow {R_{180^{\circ}}}[/tex] D''(-1, 1)
Which then gives;
The image location are;
A(-7 + 4, 2 + 1) = A(-3, 3)
B''(-8 + 4, 6 + 1) = B(-4, 7)
C''(-2 + 4, 5 + 1) = C(2, 6)
D''(-1 + 4, 1 + 1) = D(3, 2)
Therefore, we have;
A(-3, 3), B(-4, 7), C(2, 6), and D(3, 2)
Learn more here:
https://brainly.com/question/19712059
https://brainly.com/question/20271313
https://brainly.com/question/17597117
If the original quantity is 10 and the new quantity is 14, what is the percent increase?
Answers
Answer:
40% increase
Step-by-step explanation:
10 is you 100%
if it increased to 14, then that means your 100% = 10 increased +4 which is the 40%
which value of n makes the value of the expression 4n + 3 a composite number
Answers
Answer:
3
Step-by-step explanation:
Given expression :-
4n + 3It will be composite if it will has more than 2 factors ( other than 1 and itself )
If n = 1 :-
4*1 + 3 4+ 3 7 ( prime )If n = 2 :-
4*2 + 3 8 + 3 11 ( prime )If n = 3 :-
4*3+312+3 15 ( composite )A regular pentagon, a regular octagon, and∠ meet at a point. What is m< SBY?
Answers
Answer:
117
Step-by-step explanation:
Each angle of a regular pentagon = 108
Each angle of regular octagon = 135
135+ 108 + ∠SBY = 360
243 + ∠SBY = 360
∠SBY = 360 - 243
∠SBY = 117°
