Answer:
m<2 + m<3
Step-by-step explanation:
Theorem:
In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.
<4 is an exterior angle of the triangle.
Angles 2 and 3 are the remote interior angles of <4.
m<4 = m<2 + m<3
Answer: m<2 + m<3
Answer:
<4 = <2 + <3
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
<4 = <2 + <3
given m||n, find the value of x
Step-by-step explanation:
3x+5+x-25=180°
4x=180°+20
x=50
Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.
Knowing this, we can add the two angles together and they should equal 180:
(3x + 5) + (x - 25) = 180
4x - 20 = 160
4x = 160
x = 40
If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.
A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?
QUESTION: Josephine put a frame round his picture which measured 36 cm by 34 cm. A margin 4cm wide was left all the way round. What was the area of the margin ?
(NOTE:SORRY BUT UNFORTUNATELY THERE ISN`T A DIAGRAM)
GEOEMTRY- PLEASE HELP , solve for x
Answer:
[tex]17x-23=1/2\times81[/tex]
[tex]17x-23=40.5[/tex]
[tex]17x=40.5+23[/tex]
[tex]17x=63.5[/tex]
[tex]x=63.5/17[/tex]
[tex]x=3.73[/tex]
OAmalOHopeO
find the missing side.
Answer:
33.4
Step-by-step explanation:
tan50 = x/28
x =28tan50 = 33.3691 = 33.4 (nearest tenth)
Evaluate x^4 • x^-1 when x = 4
Answer:
64
Step-by-step explanation:
4^4*4^-1
4^4*1/4
256*1/4
256/4
64
x^4 - x^2 - 2x -1 . solve
Answer:
X⁴–X²–2X –1=0
(X²+X+1)(X²–X–1)=0
[tex]x = - \frac{1 - i\sqrt{3} }{2} \\ x = - \frac{ 1 + i \sqrt{3} }{2} [/tex]
[tex]x = \frac{1 + \sqrt{5} }{2} \\ x = \frac{1 - \sqrt{5} }{2} [/tex]
I hope I helped you^_^
Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.
Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.
Solution :✧ Let us assume :
Seena's age be x
Her mother's age be 4x
✧ After 5 years :
Seena's age = x + 5
Her mother's age = 4x + 5
✧ Ratio of age after 5 years :
Seena's mother = 3
Seena's ratio = 1
Hence, the equation is :
[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]
By cross multiplying we get
[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]
[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]
[tex] \looparrowright \frak{x = 10}[/tex]
Hence, the ages are
Seena's age = x = 10 yrs
Her mother's age = 4x = 4 × 10 = 40 years
∴ Seena's age is 10 and her mother's is 40 respectively
What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only
Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
89-x=213 what's the answer?
Answer:
x = -124
Step-by-step explanation:
89-x=213
Subtract 89 from each side
89-x -89=213-89
-x = 124
Multiply each side by -1
x = -124
Step-by-step explanation:
89-x=213
89-213=x
x= -124
hope this helps
what is |-41 | pls hurry
Answer:
41
Step-by-step explanation:
The absolute value means take the non-negative number
|-41| = 41
What is an equation for this graph?
Answer:
sinx
Step-by-step explanation:
the shape of the graph shows a sine graph, which is usually denoted by asinbx+c
a is amplitude/2 = 2/2 = 1
b is the period, 360 = 360/b, b=1
since the graph starts at (0,0), c =0
hence, this graph is 1sin1x = sinx
The equation is y = sin(x)
Which function has a double root of 3 and a double root of -2
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.
Answer:
Hello! the answer is CD is 17,0 (-2,19)
At age 20, to save for retirement, Rebecca decides to deposit 80$ at the end of each month in an IRA that pays 6.2% compounded monthly. Use the formula for the value of an annuity.
A=P[(1+r/n)^nt-1]/(r/n)
How much money will be in the IRA when Rebecca retires?
How much interest will the IRA have gained?
Answer:
159319.26 I Don't know the interest
PLEASE HELP!!!!!!!!
Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
Learn More:https://brainly.com/question/2254193
Solve 2x + 3y = C, for y
Answer:
y= [tex]\frac{c-2x}{3}[/tex]
Step-by-step explanation:
2x+3y=C
isolate y
3y=C-2x
y= [tex]\frac{c-2x}{3}[/tex]
SOMEONE HELP ME PLEASE
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings
A recursive relation is a relation that defines the terms in a sequence with the previous terms.
Here, the recursive relation will be:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
A₁ = $150.
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
[tex]A_n = 2*A_{n - 1} + $50[/tex]
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
If you want to learn more about recursive relations you can read:
https://brainly.com/question/13143285
what is the volume of the triangular prism
Answer:
308 cm³Step-by-step explanation:
The volume is:
V = Bl = 1/2(ah)lV = 1/2(7*8)*11 = 308 cm³[tex]\\ \rm\Rrightarrow Volume=Area\:of\;base(Height)[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}Base\times Height \times Height\:of\;Prism[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}(8)(7)(11[/tex]
[tex]\\ \rm\Rrightarrow Volume=4(7)(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=28(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=308cm^3[/tex]
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
(8-16) + (8 + 6)
If the parentheses are removed from the above
expression, how will the value of the expression
change?
A. no change
B. increase of 3
C. increase of 7
D. increase of 12
E. increase of 16
Step-by-step explanation:
Right now, we would solve everything within the parenthesis first.
(8 - 16) + (8 + 6)
(-8) + (14)
14 - 8
6
But if we remove the parenthesis, it doesn't matter what order we do things in.
8 - 16 + 8 + 6
8 + 8 - 16 + 6
16 - 16 + 6
6
The reason why both of these are the same, is because the only calculations we're doing are addition and subtraction, which don't care about parenthesis.
Answer:
A
On a piece of paper, graph y+ 2[tex]\leq[/tex] 1/4 x-1. Then determine which answer choice matches the graph you drew.
Answer:
Graph A
Step-by-step explanation:
From a point on the ground 100m from its base, the angle of elevation of the top of the Burj Khalifa tower in Dubai is 83.1°. Draw a sketch and use it to calculate the height of the tower.
Answer:
Step-by-step explanation:
[tex]tan \ 83.1 = \frac{opposite \ side}{adjacent \ side} = \frac{BC}{100}\\\\8.2635 = \frac{BC}{100}\\\\8.2635*100=BC\\\\826.35 = BC[/tex]
Height of tower = 826.35 m
pls help me asap!!!!!!
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
Dimes: 3 times greater than nickels:
This means that:
[tex]y = 3x[/tex]
Quarters: One greater than double the number of nickels:
This means that:
[tex]z = 2x + 1[/tex]
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]
[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]
[tex]0.85x = 3.4[/tex]
[tex]x = \frac{3.4}{0.85}[/tex]
[tex]x = 4[/tex]
y and z:
[tex]y = 3x = 3(4) = 12[/tex]
[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at https://brainly.com/question/17096268
Which of the r-values satisfy the following inequality?
r/3 + 5 <_ 9
Choose all answers that apply:
Answer:
9
Step-by-step explanation:
r/3 +5 ≤ 8
Subtract 5 from each side
r/3 +5 -5≤ 8-5
r/3 ≤ 3
Multiply each side by 3
r/3 *3 ≤ 3*3
r ≤ 9
The only value that is less than or equal to 9 is 9