Answers
Let the unknown angle be x.
Sum of all angles of triangle = 180
x + 55 + 55 = 180
x + 110 = 180
x = 180 - 110
x = 70
Related Questions
if x/a =y/b=z/c prove the follong photo
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{x}{a}= \frac{y}{b} =\frac{z}{c}[/tex]
[tex]Let \: \frac{x}{a}= \frac{y}{b} =\frac{z}{c}=m[/tex]
(where m is any constant)
[tex]\implies[/tex]
[tex]\frac{x}{a}=m\implies x =am[/tex]
[tex]\frac{y}{b}=m\implies y =bm[/tex]
[tex]\frac{z}{c}=m\implies z =cm[/tex]
To Prove:
[tex]\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}=2[/tex]
LHS [tex]=\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}[/tex]
(Plug the values of x, y and z in the form of am, bm and cm respectively in the LHS)
[tex]=\frac{a(am)-b(bm)}{(a+b)(am-bm)}+\frac{b(bm)-c(cm)}{(b+c)(bm-cm)}[/tex]
[tex]=\frac{a^2m-b^2m}{(a+b)m(a-b)}+\frac{b^2m-c^2m}{(b+c)m(b-c)}[/tex]
[tex]=\frac{m(a^2-b^2)}{m(a+b)(a-b)}+\frac{m(b^2-c^2)}{m(b+c)(b-c)}[/tex]
[tex]=\frac{\cancel{m(a^2-b^2)}}{\cancel{m(a^2-b^2)}}+\frac{\cancel{m(b^2-c^2)}}{\cancel{m(b^2-c^2)}}[/tex]
= 1 + 1
= 2
= RHS
[tex]\implies \purple{\bold{\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}}}=\red{\bold{2}}[/tex]
Thus proved
PLEASE GUYS CAN SOMEONE HELP ME WITH THESE, POINTS TO THE KIND AND SMART PERSON TO ANSWER THESE SORT OF TEDIOUS QUESTIONS HELP ASAP
Answers
Step-by-step explanation:
1.
a. true
b. false (the arc angles are relative to the center of the circle)
c. true (as the central angle of a circle is twice any inscribed angle subtended by the same arc)
d. true (but note that the arc angle of YE is again measured via the center of the circle and twice as large as the angle S)
2.
EGS is an isoceles triangle (that means both legs are equally long).
remember the extended Pythagoras for general triangles :
c² = a² + b² - 2ab×cos(C)
c being the side opposite of the angle C.
let's say c is our long baseline, since we have is opposite angle 124°, and a = b = GE = GS, we have
3.8² = a² + a² - 2aa×cos(124) = 2a² - 2a²×cos(124) =
= 2a²(1 - cos(124))
2a² = 3.8²/(1 - cos(124))
a² = 3.8²/(2(1 - cos(124)))
a = GS = sqrt(3.8²/(2(1 - cos(124)))) =
= 2.151883096... ≈ 2.2 cm
3.
circumference
16pi = 2pi×r
r = 8
area = pi×r² = pi×8² = 64pi
yes, the statement is true.
4.
a half-circle has 180°.
the arc angel AD is a full half-circle (because AD is a diameter), so it is 180°.
the angle ACB is the arc angle AB = 40°. so, the arc angle BD must be the rest of the 180° = 180 - 40 = 140°.
5.
diameter = 50 ft.
so, the radius or distance from the center to the circle arc is 50/2 = 25 ft.
the length of a chord is
c = 2×sqrt(r² - d²)
with r being the radius, d being the distance of the chord from the center.
40 = 2×sqrt(25² - d²)
20 = sqrt(625 - d²)
400 = 625 - d²
-225 = -d²
225 = d²
d = 15 cm
so, the distance of the chord from the center is 15 cm.
6.
the arc angles RE and TS are equal. that means the arc lengths of RE and TS are equal.
and that means the arc lengths of RS and ET are equal. the chords between 2 points on a circle must have the same length, when the arc lengths between these 2 points are the same.
7.
they are equally long.
as we saw in 5., the length of a chord depends on the radius of the circle and the distance of the chord from the center.
since both chords are in the same circle (with the same radius), and they both have the same distance from the center, they can only be equally long, as there is no other element to name them different.
8.
the angle NPE is half of the angle NAE (= the arc angle NE).
the arc angle NE = 63×2 = 126°
the angle PET is half of the angle PAT (= the arc angle PT).
the arc angle PT = 19×2 = 38°
the arcs NP and ET cover the rest of the whole circle circumference (360°).
so, arc angle NP + arc angle ET = 360 - 38 - 126 = 196°
but arc angles NP and ET must be equal (as per the problem definition).
therefore, 2 equal arc angles = 196°
1 arc angle = NP = 196/2 = 98°
pls help me with this i have a 0 in math
Answers
Answer:
(3−5)(+1)
Step-by-step explanation:
I hope this helps you and please mark me as brainliest
Answer:
The answer is ( p + 1 ) ( 3p - 5 )
Step-by-step explanation:
The boundary line on the graph represents the equation x-3y=5. Write an inequality that is represented by the graph.
Answers
Answer:
y > 1/3x - 5/3
x-3y < 5
Step-by-step explanation:
We simplify x-3y=5, to y = 1/3x - 5/3
We notice the boundary line is dotted, we know the inequality must be < or > rather than ≤ or ≥.
The shading is above the line which indicates that in y-intercept form we must use >.
y > 1/3x - 5/3
or x-3y < 5
Either of these show the exact same thing.
this question is too hard
Answers
Answer:270
Step-by-step explanation:180/2=90
90*3=270
Hope this helps :)
Answer:
270
Step-by-step explanation:
You can do 180/2 and that gives you 90. Since we know 90:1, we can do 90x3. And that gives 270
in a class children, three quarters are chinese, one fifth are malay, and the rest are indian. what fraction of the class are indian?
Answers
Answer:
[tex] \frac{1}{20} [/tex]
or 5%
Step-by-step explanation:
Explanation:
3/4=15/20
1/5=4/20
So, rest of 'em 1/20
Answer:
1/20.
Step-by-step explanation:
1 - 3/4 - 1/5
= 20/20 - 15/20 - 4/20
= 1/20
This is the number in standard form: 500,802,009,612
What is the number in expanded form?
Answers
Answer:
500,000,000,000 + 800,000,000 + 2,000,000 + 9,000 + 600 + 10 + 2
Step-by-step explanation:
To write a standard form number into an expanded form, we must look at the amount of numbers at each 'place' in the number.
Hundred-Billions --> 5 Hundred-Thousands --> 0
Ten-Billions --> 0 Ten-Thousands --> 0
Billions --> 0 Thousands --> 9
Hundred Millions --> 8 Hundreds --> 6
Ten Millions --> 0 Tens --> 1
Millions --> 2 Ones --> 2
Answer: five hundred billion eight hundred two million nine thousand six hundred twelve.
Step-by-step explanation:
500,000,000,000=five hundred billion
800,000,000=eight hundred million
2,000,000=two million
9,000=nine thousand
600=six hundred
10=ten
2=two
What is the decimal for 4/100?
What is the Answer
Answers
Answer:
0.04
Step-by-step explanation:
Have a nice day!
Simply just take 4 divided by 100 -> 4 : 100 = 0.04
Can someone help me please? Will award 80 pts.
Answers
Answer:
x = 1/4
Step-by-step explanation:
To solve, we need to find the constant of proportionality (k) which is defined by the equation:
yx = k
[tex](68)(1/17) = k\\k = 4[/tex]
Therefore when y= 16,
[tex]16x = 4\\x= \frac{1}{4}[/tex]
When y varies inversely with x that means mathematically
[tex]y = \frac{k}{x}[/tex]
k ⇒ is the proportional constant that we need to findWe know for one, that when y = 68 and x = 1/17, that means
[tex]68 = \frac{k}{\frac{1}{17} } \\68 = 17k\\k = 4[/tex]
Therefore we get the equation of the relationship between y and x as
⇒ [tex]y = \frac{4}{x}[/tex]
So when y = 16, then
[tex]16 = \frac{4}{x} \\4 = 16x\\x = \frac{1}{4}[/tex]
Thus the value of x when y = 16 is 1/4 or the third choice.
Hope that helps!
Jerry has a new job and earns a
salary of $45,000. Victoria has a new
job and earns a salary of $54,000.
Jerry will receive a salary increase of
$2,500 per year, and Victoria will
receive a salary increase of $1,500
per year.
45.0
54.0
45.0
540
Which equation can be used to find x
the number of years it will take
Jerry to earn the same salarv as
Victoria?
Answers
salary om as
Victoria 2500
1500x54 =
Help
Solve the quadratic equation by any means. Identify the method and complete the explanation of why you chose it. Irrational answers may be left in radical form.
5x2 + 16x + 3 = 0
Part a: factoring
Completing the swuares
Taking the square roots
Which one
Part b:
Why:
There are not many factors to check
It is not factorable
B is = to zero
Answers
Answer:
Factoring: [tex]x = -\frac{1}{5}, -3[/tex]
Step-by-step explanation:
A) You can factor the expression [tex]5x^2 + 16x + 3[/tex] into [tex](5x+1)(x+3)[/tex].
5x + 1 = 0 and x + 3 = 0
[tex]x = -\frac{1}{5}, -3[/tex]
B) I would use factoring because you can factor this expression, and you don't have to use completing the square
You can calculate the width of the lake using a surveying technique, as shown in the diagram. Find the width of the lake.
Answers
Step-by-step explanation:
Angles XVW and XYZ are congruent, and so are angles VWX and XZY by the alternate interior angles theorem.
This means that triangle VWX is similar to triangle YZX.
So, since corresponding sides of similar triangles are proportional, VW/XY = WX / XZ.
120/8 = 15 = WX / 6.
So the width is 90 m.
Why does i^3= -i
I know i is square root -1 but I don't know how i^3= -i
Answers
Answer:
i³ = -i
Step-by-step explanation:
i³ can be rewritten as i² · i
i² = -1
-1 · i = -i
Hope this helps!
Select the correct solution for the expression.
2
5
+
3
8
A.
2
5
+
3
8
=
5
13
B.
16
40
+
15
40
=
31
40
C.
10
40
+
24
40
=
34
40
D.
2
5
+
3
8
=
6
40
if youre a connexus student and you know the answers to add and subtract fractions please tell me
Answers
Answer:
I think the answer is 6/40
Step-by-step explanation:
A bird drops a stick to the ground from a height of 75 ft. The function h= - 16t2 + 75 gives the stick's
approximate height h above the ground, in feet, after t seconds. Graph the function. At about what time does the stick hit the ground?
graph.
Answers
The function h(t) = -16t^2 + 75 is a quadratic function, and the stick hits the ground at about 2.165 seconds
How to determine the time it hits the ground?The function is given as:
h(t) = -16t^2 + 75
Next, we plot the graph of the function h(t)
From the graph of the function h(t) (see attachment), we have the following highlight:
t = -2.165 and t = 2.165 when h(t) = 0
Time cannot be negative.
So, we have:
t = 2.165
This means that the stick hits the ground at about 2.165 seconds
Read more about quadratic functions at:
https://brainly.com/question/8649555
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Answers
Answer:
A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?
simplify the problem below:
u^n*u^n+1
Answers
Answer:
[tex]u^{2n+1}[/tex]
Step-by-step explanation:
Assuming you mean [tex]u^nu^{n+1}[/tex], then [tex]u^nu^{n+1}=u^{n+n+1}=u^{2n+1}[/tex].
Answer:
[tex]\Longrightarrow: \boxed{\sf{u^2^n+1}}[/tex]
Step-by-step explanation:
Solution:This equation can be solved simply by multiplying by the variable to isolate them on one side.
[tex]\Longrightarrow: \sf{u^n*u^n+1}[/tex]
[tex]\sf{u^n*u^n=u^2}\\\\\\\sf{= (u^2)^n}[/tex]
Solve.
[tex]\sf{\left(u^2\right)^n=u^{2n}=\boxed{\sf{u^{2n}+1}}[/tex]
Therefore, the final answer is [tex]\boxed{\sf{u^{2n}+1}}[/tex].
5x²+y+10 what is the cofficient of x²
Answers
The product of 2 consecutive even integers is 528 find the value of each integers
Answers
Answer :-
Value of two integers are 22 and 24Step-by-step explanation:
Given :-
The product of 2 consecutive even integers is 528To Find :-
Value of each integersSolution :-
Let one integer be xother integer be x + 2According to question,
Product of two integers = 528↠ (x)(x + 2) = 528
↠ x² + 2x = 528
↠ x² + 2x - 528 = 0
↠ x² + 24x - 22x - 528 = 0
↠ x(x + 24) - 22 (x + 24) = 0
↠ (x + 24) (x - 22) = 0
↠ x = -24 or 22
Hence,
1st integer = 222nd Integer = 22 + 2 = 24Value of two integers are 22 and 24
Step-by-step explanation:
It is given that, The product of 2 consecutive even integers is 528 and we have to find the value of each integers.
So, Let us assume the 1st consecutive even integer as y and the 2nd as (y + 2)Now, As it is stated in the question that the product of 2 consecutive even integers is 528, So
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { y(y + 2) = 528 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y = 528 }}}} \: \: \\ \\[/tex]
Subtracting both sides by 528 we get :
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 528 - 528 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + 2y - 528= 0 }}}} \: \: \\ \\[/tex]
We have to find two numbers such that,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { p + q= 24 }}}} \: \: \\ \\[/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { p \times q= 528 }}}} \: \: \\ \\[/tex]
The two numbers are 24 and 22. So,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf { {y}^{2} + (-22y) + 24y - 528= 0 }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { {y}(y -22) + 24(y - 22)= 0 }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf { (y -22) (y + 24)= 0 }}}} \\ \\ [/tex]
Whether, the value of y is (-24) or 22.[tex] \: [/tex]
So, The first consecutive even integer is 22.
Now,
[tex] \\ { \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=y \:+2 \: }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=2 2+2 \: }}}} \\ \\ [/tex]
[tex]{ \longrightarrow \qquad{ \pmb{ \sf {Second \: consecutive \: even \: integer=24 }}}} \\ \\ [/tex]
Therefore,
The value of each integer is 22 and 24.Given quadrilateral ABCD with vertices A(0, 0), B(3, 4), C(8, 4), and D(5, 0). Complete the statements
below.
Part A: The quadrilateral ABCD is a
A. rectangle
B. rhombus
C. square
D. trapezoid
Part B: The quadrilateral ABCD can be identified as the geometric shape in Part A because
A. all sides are congruent
B. only two sides are parallel
C.
- opposite sides are parallel and congruent
D. the diagonals are congruent
Answers
Part B: Only two sides are parallel
Answer:
Part A:
B. rhombus
Part B:
C. Opposite sides are parallel and congruent
find the volume
6ft
3ft
4tt
Answers
Answer:
72 i think.
Step-by-step explanation:
In 10 and 11, find the area in square units of each polygon.
Answers
Answer:
10: 12 units^2 11: 33 units^2
Step-by-step explanation:
10:
Divide into square and 2 triangles (for simplicity)
square=9
one triangle=3/2
both triangles combined=3
9+3=12
11:
divide into 2 triangles
top triangle: height= 4, base=6
bottom triangle: height= 7, base=6
top=12
bottom=21
Add, 33.
Monica loves medicine and caring for people, but does not want to spend the
next 16 years studying and preparing to become a doctor. Which of the
following is a good career alternative for Monica?
• A. Nurse
B. Accountant
• C. Artist
• D. Banker
Answers
Answer:A
Step-by-step explanation: She will still care for people but spend lesser years qualifying
Answer: NURSE
Step-by-step explanation:
Jack and Thomas picked apples. Jack picked 36 apples, which is twice as many as Thomas picked.
How many apples did Thomas pick?
Answers
Please Help Me!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.
This is a TWO part question, make sure to answer both part A. and B.
A. Find the amount of interest. Show the math computation use to find the amount of interest.
B. What was the monthly payment? Show the work used to find this answer.
Answers
Answer:
a. 1710 b. 71.25
Step-by-step explanation:
the formula for simple interest is i=prt
2(9500)(0.09)= 1710
to find the monthly payment, divide by the number of months.
1710/24=71.25
So, two years are $1710 of interest.
$9500+$1710=$11,210
$11,210/24=$467.08 monthly payment
Find x
20x + 5 = 5x +65
Answers
Answer:
x=4
Step-by-step explanation:
20x-5x=65-5
15x=60
x=60/15
x=4
Answer:
x = 4Step-by-step explanation:
In the question we are given with an equation that is 20x + 5 = 5x + 65 . And we are asked to find the value of x.
Solution :
[tex] \longmapsto \: 20x + 5 = 5x +65[/tex]
Step 1 : Subtracting 5 on both sides :
[tex] \longmapsto \: 20x + \bold{ \cancel{5}} - \bold{ \cancel{5}}= 5x + \bold{65 }- \bold{5}[/tex]
On further calculations, we get :
[tex] \longmapsto \: 20x = 5x + 60[/tex]
Step 2 : Subtracting 60 on both sides :
[tex] \longmapsto \:20x - 60 = 5x + \bold{ \cancel{60}}- \bold{ \cancel{60}}[/tex]
On further calculations, we get :
[tex] \longmapsto \:20x - 60 = 5x[/tex]
Step 3 : Transposing 5x to left hand side and -60 to right hand side :
[tex] \longmapsto \:20x - 5x = 60[/tex]
On further calculations , we get :
[tex] \longmapsto \:15x = 60[/tex]
Step 4 : Divide by 15 on both sides :
[tex] \longmapsto \: \frac{ \cancel{15}x}{ \cancel{15} } = \cancel{ \frac{60}{15} }[/tex]
On further calculations, we get :
[tex] \longmapsto \: \red{ \boxed{x = 4}}[/tex]
Therefore , value of x is 4 .Now, we are verifying our answer by substituting value of x in given equation :
20x + 5 = 5x + 6520 ( 4 ) + 5 = 5 ( 4 ) + 6580 + 5 = 20 + 6585 = 85L.H.S = R.H.SHence, Verified .Therefore , our answer is correct
#Keep Learning
1. Jakob plays the violin. His bow is 8 decimeters long.
How many meters long is Jakob's bow?
Answers
Answer:
0.8 meters
Step-by-step explanation:
1 decimeter is 0.1 meters
so,
[tex]\frac{1}{0.1} = \frac{8}{x}\\x = 8*0.1\\x = 0.8[/tex]
Instructions: Find the missing side. Round your answer to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
x is the adjacent side of 30°
Hypotenuse = 22
[tex]Cos \ 30^ \circ = \dfrac{adjacent \ side}{hypotenuse}\\\\\\0.866 = \dfrac{x}{22}\\\\\\0.866*22 = x\\[/tex]
x = 19.1
Answer:
cosθ=Adjacent/ hypotenuse
[tex] \cos(30) = \frac{x}{22} \\ \\ \frac{ \sqrt{3} }{2} = \frac{x}{22} \\ \\ 2x = 22 \sqrt{3} \\ \\ x = \frac{22 \sqrt{3} }{2} \\ \\ x = 11 \sqrt{3} = 19.05 = 19.1[/tex]
remove the largest common factor. check your answer by multiplication.
21x^5+14x^3-35
Factor out the greatest common factor.
Answers
Therefore :
7(3x^5+2x^3-5) is the correct answer
We can’t factor x because 35 does not have any x
Most common is 7
So
7(3x⁵+2x³-5)Use distributive law to verify
21x⁵+14x³-35Verified
GCF is 7
What is the domain of the relation, and is the relation a function?
{(0, 1), (2, 3), (5, 7)}
Answers
Answer:
Step-by-step explanation:
The domain is the set of x-values in the ordered pairs.
So it is {0, 2, 5}
Yes it is a function as for each x value there is 1 y-value (its a one-to-one function)