Answers
Answer: x = 30°
Concept:
Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.
An isosceles triangle is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.
The vertical angle theorem states that two vertical angles formed when two lines intersect each other are always equal to each other.
Solve:
Find the other base angle of the isosceles triangle.
Since there are two equal sides, we know that this is an isosceles triangle.
Since the definition said that the base angles are equal, the other base angle would also be x.
Find the value of x
According to the vertical angle theorem, two vertical angles formed by intersection are equal.
Just as angle x and 30°, are vertical angles formed by intersection, therefore, [tex]\boxed{x=30}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Related Questions
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
Answers
Answer:
Answer= 45 units
Step-by-step explanation:
lengths = 3 units
width = 3x5= 15 units
area= length times width= 3x15= 45 units!
Hope this helps :)
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answers
Answer:
D because it costs less for 7 hours
Answer:
The company that would give you the best deal would be Company D.
Step-by-step explanation:
Company A:
First you set up as an equation.
y=25x+50
I used 25x because 25 represents the hourly rate and x represents the hour it increases.
y=25(7)+50
We have to substitute 7 in for x because it says "If you had planned for 7 hours".
Multiply 25 and 7. You should get 175.
y=175+50
Add 175 and 50. You should get 225.
y=225.
You do the same thing for the rest of the problems.
Company B:
y=30x+40
y=30(7)+40
y=210+40
y=250
Company C:
y=20x+60
y=20(7)+60
y=140+60
y=200
Company D:
y=5x+150
y=5(7)+150
y=35+150
y=180
The company that would give you the best deal would be Company D.
Expand [tex](x-\frac{1}{x})^{1\\2}[/tex] , simplifying the coefficients
the right answer is [tex]x^{5}-5x^{3}+10x-\frac{10}{x} +\frac{5}{x^{3} }-\frac{1}{x^{5} }[/tex]
but i can't work it out
PLEASE HELP!
Answers
Answer:
Step-by-step explanation:
In reality it is : [tex](x-\frac{1}{x} )^5\\[/tex]
[tex]Pascal'sTriangle\\\\\begin{array}{cccccc}1\\1&1\\1&2&1\\1&3&3&1\\1&4&6&4&1\\1&5&10&10&5&1\\\end{array}\\\\\\(x-\frac{1}{x} )^5\\\\=x^5+5*x^4*\frac{1}{x} *(-1)+10*x^3*\frac{1}{x^3}*(-1)+5*x*\frac{1}{x^4} +\frac{1}{x^5} *(-1)\\\\\\\boxed{(x-\frac{1}{x} )^5=x^5-5x^3+10x-\frac{10}{x} +\frac{5}{x^3} -\frac{1}{x^5} }[/tex]
150 miles in 6 gallons to the nearest hundredth
Answers
Answer:
do you have any photo reference to the actual question at this time?
What is the equation of the line that passes through the point (4, -7) and has a
slope of – } ?
Answer:
Submit Answer
PLS HELP ASAP
Answers
Answer:
I think that some information is missing? what is the slope?
If you are trying to say that there is NO SLOPE then the
answer is " x = 4 "
Step-by-step explanation:
In the last student-council elections, Jill got x number of votes. Morgan got twice as many votes as Jill. Trisha won the election with 7 more votes than Morgan. If 327 students voted in the election, write and solve an equation to determine how many votes Trisha got.
Answers
Answer:
the equation is x + 2x + 2x + 7 = 327
or 5x + 7 = 327
x = 64
Trisha has 135 votes.
Step-by-step explanation:
Jill has x votes.
If Morgan got twice as many votes as Jill, then Morgan has
2 times the number of votes
or 2x
Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount
2x + 7
So assuming Jill, Morgan, and Trisha are the only three candidates:
then x + 2x + 2x + 7 = 327
Combine like terms
5x + 7 = 327
Subtract 7 from both sides
5x = 320
x = 64
Check answer for x:
64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327
So Trisha has
2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes
Benny thinks of a number, subtracts 18 from it, and divides the difference by 3, the result is (-4). What is the number?
Answers
Answer:
n=6
Step-by-step explanation:
(n-18)/3 = -4
multiply by 3
n-18 = -12
add 18
n = 6
any one solve these questions will mark brainliest the last three fast plz
Answers
(iii)
35+ x + 60 = 180
95 + x = 180
x = 180 – 95
x = 85
So; X = 85° ; < PON(iV)
x + 47 + 75 = 180
x + 122 = 180
x = 180 – 120
x = 58
So; x = 58° ; < COB(Vi)105 ° = 3 x° –> Opposite angles ,
x = 105 / 3
x = 35
3x = 3(35) = 105°
So; x = 35°Only the figure (V) I didn't know I'm sorry:(
I hope I helped you^_^
write 0.32 repeating as a fraction in simplest form.
Answers
Answer:
0.32 repeating as a fraction
= 32/99
Step-by-step explanation:
The fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
To express the repeating decimal 0.32 repeating as a fraction in simplest form, we can use the concept of geometric series.
Let's represent 0.32 repeating as x:
x = 0.323232...
Multiply both sides of the equation by 100 to shift the decimal point two places to the right:
100x = 32.323232...
Now, subtract the original equation from the shifted equation to eliminate the repeating part:
100x - x = 32.323232... - 0.323232...
Simplifying the equation:
99x = 32
Divide both sides of the equation by 99 to solve for x:
x = 32/99
Therefore, the fraction in simplest form that represents the repeating decimal 0.32 repeating is 32/99.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ6
what is the vertex and where is the x-intercept(s)?
Answers
Answer:
Vertex (-2,-9)
x-intercepts -5 and 1
y-intercept -5
Step-by-step explanation:
i don’t understand can someone please help me
Answers
Answer:
Answer:
Step-by-step explanation:
Answer as Photo
simplify the problem thank you
Answers
Answer:
-5
Step-by-step explanation:
(-5)(-5)(-5)=-125
Given the expression:
[tex] \displaystyle \large{ \sqrt[3]{ - 125} }[/tex]
Definition:
[tex] \displaystyle \large{ y = \begin{cases} \pm \sqrt[n]{x} \longrightarrow n = (2,4,6,8,...) \: \: (x \geqslant 0) \\ \sqrt[n]{x}\longrightarrow n = (1,3,5,7,...) \: \: (x \in \R) \end{cases}}[/tex]
First, factor the -125. -125 comes from (-5)×(-5)×(-5) or (-5)^3.
[tex] \displaystyle \large{ \sqrt[3]{ ( - 5) \times ( - 5) \times ( - 5)} }[/tex]
Because if (-5)^2 = 25 then 25×(-5) again will be -125.
Since this is the cube root, we have to pull out 3 terms in one. There are 3 fives that we can take off and therefore,
[tex] \displaystyle \large \boxed{ - 5}[/tex]
Does amyone know the answer ??
Answers
-2x - 4 > 8 how much is this
Answers
[tex]\\ \sf\longmapsto -2x-4>8[/tex]
[tex]\\ \sf\longmapsto -2(x+4)>8[/tex]
[tex]\\ \sf\longmapsto x+4>\dfrac{8}{-2}[/tex]
[tex]\\ \sf\longmapsto x+4>-4[/tex]
[tex]\\ \sf\longmapsto x>-4-4[/tex]
[tex]\\ \sf\longmapsto x>-8[/tex]
Answer:
x < -6
Step-by-step explanation:
-2x - 4 > 8
Add 4 on both sides
-2x > 12
Divide -2 on both sides
x < -6
Hope this helps!
Help me pls ?? 1. Suppose there is a raffle with numbered tickets 1 - 150. One ticket is randomly
drawn from a hat. Find the following probabilities:
A. Drawing an even number
B. Drawing a number greater than 100
C. Drawing an even prime number
D. Drawing a negative number
Answers
B = less likely / unlikely
C =less likely
D = Impossible
William bought snacks for his team's practice. He bought a bag of oranges for $3.02 and a 20-pack of juice bottles. The total cost before tax was $22.02. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs?
Answers
Answer:
.95
Step-by-step explanation:
JJ = (22.02 - 3.02) / 20
(22.02 - 3.02) / 20
19 / 20= $0.95
What is the length of BC?
Select the best answer from the choices provided.
A.4
B.4v2
C.8v2
D.16
Answers
64= 2 x squared
Divide both sides by 2
32= x squared
Square root of 32= x
4 square root 2
Solve the equation. Check your answer.
b - 1+ 8 = 37
b=?
Answers
b - 1 + 1 = 29 + 1
b = 30
Answer:
b = 30
Step-by-step explanation:
b - 1 + 8 = 37 (Given)
b + 7 = 37 (Simplify)
b + 7 - 7 = 37 - 7 (Subtract 7 on both sides)
b = 30 (Simplify)
Evaluate \dfrac {9}m+4 m 9 +4start fraction, 9, divided by, m, end fraction, plus, 4 when m=3m=3m, equals, 3.
Answers
Fractions can be evaluated, same way non fractions are evaluated
The result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
The given parameters are:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
[tex]\mathbf{m = 3}[/tex]
So, we have:
[tex]\mathbf{\dfrac {9}m+4}[/tex]
Substitute 3 for m
[tex]\mathbf{\dfrac {9}m+4 = \dfrac {9}3+4}[/tex]
Evaluate the division
[tex]\mathbf{\dfrac {9}m+4 = 3+4}[/tex]
Add 3 and 4
[tex]\mathbf{\dfrac {9}m+4 = 7}[/tex]
Hence, when m equals 3, the result of the fraction expression [tex]\mathbf{\dfrac {9}m+4}[/tex] is 7
Read more about fractions at:
https://brainly.com/question/6201432
How do I solve this
Answers
Answer:
it's 67
Step-by-step explanation:
Step-by-step explanation:
the base is already same.
-9 + (-8) - (-7) = -10
= m^-10
Solve the equation for the specified variable.
Y = AD-5, for A
Help plzzzzz
Answers
Answer:
A = (Y + 5)/ D
Step-by-step explanation:
Y = AD - 5
Y + 5 = AD - 5 + 5
Y + 5 = AD
(Y + 5)/D = AD/D
(Y + 5)/ D = A
》A = (Y + 5)/ D
How do I solve this pls help?
Answers
Answer:
a)
f(0) = 4, from the graphb)
h(11) = 15, from the tablec)
g(-9) = -2(-9)² - 4(-9) + 1 = -125, as per equationd)
f(2) = 1, from the graphe)
h(-2) = 2, from the tablef)
g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125, as per equationf(0) = 4
h(11) = 15
g(-9) = -2(-9)² - 4(-9) + 1 = -125
f(2) = 1
h(-2) = 2
g(0.25) = -2(0.25)² - 4(0.25) + 1 = - 0.125
Factorise: (Using Algebraic Identities)
64x^3-(4x-3y)^3
Answers
Answer:
9y(16x2−12xy+3y2)
Step-by-step explanation:
Factor 64x3−(4x−3y)3
144x2y−108xy2+27y3
=9y(16x2−12xy+3y2)
Answer:
9y(16x2−12xy+3y2)
Hakim and Aziz had some savings in the ratio 3 : 5. Hakim saved another $82 and Aziz spent $110. Both have the same amount of money now. How much do each of them have now?
Answers
===========================================================
Explanation:
Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.
We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82
At the same time, Aziz spent $110 which means the 5x decreases to 5x-110
At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.
3x+82 = 5x-110
3x-5x = -110-82
-2x = -192
x = -192/(-2)
x = 96
Then use this x value to compute each expression like so
3x+82 = 3*96+82 = 3705x-110 = 5*96-110 = 370Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.
------------------
Extra info:
If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.
Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.
A mobile device that normally sells for $99.90 is
marked down 10%. What's the discount price?
$99.00
$89.99
$89.91
$89.90
Answers
Answer:
89.90 is the answerrrrrrrrrrr
Answer:
89.91
Step-by-step explanation:
You can do this with a calculator 99.90-10%
Help me please broskies
Answers
From step 2 to step 3 they added 6x to both sides,canceling out the -6x on the left side and adding 6x with the 5x
From step 3 to step 4 they subtracted 2 from both sides, canceling it out on the right side and subtracting 2 from 8 to get 6
From step 4 to step 5 they try and get x alone by dividing both sides by 11, canceling out the 11 on the right side and leaving a fraction the left
Leaving you with your answer of what x equals in the final step
Hope this helps!!
Is 0.62473 a member of the set? For each set of real numbers, select yes or no
Answers
?
Step-by-step explanation:
can't see the opinions
The perimeter of a triangle is 16 squar root 7 feet if two of the sides measure 343 square root feet amd 175 square root fins the length of the third side as a redo all in simplest form
Answers
Answer:19
Step-by-step explanation:
because if it added it becomes that
what is 2.3 ÷ 225.4
Answers
Answer: 2.3/225.4=0.01020408
Answer:
98.000
Step-by-step explanation:
Change the divisor 2.3 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
2254 ÷ 23 = 98.000
and therefore:
225.4 ÷ 2.3 = 98.000
Both calculated to 3 decimal places.
rachel states that -5.5 is an integer because it is negative. is she correct? why or why not?
Answers
Answer:
no
Step-by-step explanation:
-5.5=-55/10=-11/2
-11/2 is not an integer because it is not a whole number. even if it is negative, as long as it is in fraction form it is not an integer. therefore rachel is not correct
