Let the first angle be x
So, second angle = (x+15)°
and third angle= (x+ 45)°
Now,
x+ (x+15) + (x+45)= 180°. ( Triangle sum property)
x+x+x+15°+45° = 180°
3x+ 60° = 180°
3x= 180°-60°
3x= 120°
x= 120°/3
x= 40°
Now,
first angle=x= 40°
second angle = (x+15)°= 40°+15° = 55°
third angle= (x+45)° = 40°+45° = 85°
Hope it helps you. Please mark as brainliest if it does.
Rohan makes $86,534.25 a year. How much will he pay in Social Security and Medicare taxes this year?
Social Security:
Medicare:
Answer:
porfavor en español pls para yo poder resolverlo
Answer:
6,619.87
Step-by-step explanation:
Social security: 86534.25 x .062. =5,365.12
medicare: 86534.25x .0145 =1,254.75
total paid: 5,365.12+1,254.75. =6,619.87
in the figure shown, which pair of angles must be supplementary
Answer:
PQT and TQS
Step-by-step explanation:
they must supplement each other to get the 90
Line CD contains points A (4, 6) and B (4, 3). The slope of line CD is (2 points)
positive
undefined
negative
zero
Answer:
slope is undefined
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = A(4, 6) and (x₂, y₂ ) = B(4, 3)
m = [tex]\frac{3-6}{4-4}[/tex] = [tex]\frac{-3}{0}[/tex]
Division by zero is undefined thus the slope of CD is undefined
write two numbers that multiply to 100 and add to 20
Answer:
10*10
Step-by-step explanation:
Over 20 years, the population of a town
decreased by 275 people to a population of
850. Write and solve an equation to find the
original population.
Answer:
p= 1125
Step-by-step explanation:
p-275= 850
p- 275= 850
+ 275 +275
p= 1125
P= the original population minus D= decrease in population is equal to C= the current population
p-d=c
Answer:
1125 people
Step-by-step explanation:
We don't know the exact quantity, but we know it has decreased by 275 and it's currently 850, so we will represent it like this:
x - 275 = 850
x = original amount of people
Now we just solve it like any equation
x = 850 + 275
x = 1125
Hope it was helpful ;)
Find the length of the diameter if the radius is given. Find the length of the radius if the diameter is given.
Answer:
All you have to do is find the diameter and divide it by 2. I'm sorry if I can't give you a direct answer because I cannot see the diagram.
Step-by-step explanation:
Answer:
7=2.75
8=18
9=3.625
10=29
Step-by-step explanation:
3 3/5 x (-8 1/3) iready please help
Answer: -30
Step-by-step explanation:
I just plugged it into a calculator hehe.
In the parallelogram below,
x = [? ]°
Z
339
1249
Answer:
23
Step-by-step explanation:
Angle x and the two given angles form a triangle. The interior angles of a triangle add up to be 180.
so
[tex]124 + 33 + x = 180[/tex]
[tex]157 + x = 180[/tex]
[tex]x = 23[/tex]
In the parallelogram below, the value of x is [tex]23^o[/tex] using the angle sum property .
The angle sum property states that:
The sum of all the interior angles of a triangle is [tex]180^o[/tex].
A parallelogram is a four sided figure in which opposite sides are equal and parallel.
Given that:
A parallelogram in which the measurement [tex]124^o[/tex] and [tex]33^o[/tex] is given.
The parallelogram is divided into two triangles.
The value of x can be calculated as:
[tex]x+ 33^o + 124^o = 180^o[/tex] (Angle sum property)
[tex]157^o +x = 180^o[/tex]
x =[tex]180^o- 157^o[/tex]
x = [tex]23^o[/tex]
Thus, the value of x is [tex]23^o[/tex].
Learn more about angle sum property here:
https://brainly.com/question/8492819
#SPJ4
The figure below shows a line graph and two shaded triangles that are similar:
A line is shown on a coordinate grid. The x-axis values are from negative 15 to positive 15 in increments of 3 for each grid line. The y-axis values are from negative 5 to positive 5 in increments of 1 for each grid line. The line passes through the ordered pairs negative 12, 4, and 0, 0, and 12, negative 4. A shaded right triangle is formed so that its hypotenuse is from ordered pair 0, 0 labeled as O to 6, negative 2 labeled as A, one leg is from 0, 0 to 0, negative 2, and the second leg is from 0, negative 2 to 6, negative 2. Another shaded right triangle is formed with the hypotenuse from 6, negative 2 to 9, negative 3 labeled as B, one leg is from 6, negative 2 to 6, negative 3, and the second leg is from 6, negative 3 to 9, negative 3.
Which statement about the slope of the line is true? (1 point)
A. It is fraction negative 1 over 3 throughout the line.
B. It is −3 throughout the line.
C. The slope from point O to point A is fraction 1 over 3 times the slope of the line from point A to point B.
D. The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
C. The slope from point O to point A is fraction 1 over 3 times the slope of the line from point A to point B.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
The 10th, 4th and 1st term of an A.P are three consecutive find the common ratio of the G.P and the sum of the 6th term, taking the 1st term to be 4
Answer:
S_6 = 252
Step-by-step explanation:
We are told that the 10th, 4th and 1st term of an A.P are three consecutive terms of a G.P.
Now,formula for nth term of an AP is;
a_n = a + (n - 1)d
Thus;
a_10 = a + (10 - 1)d
a_10 = a + 9d
Also;
a_4 = a + (4 - 1)d
a_4 = a + 3d
First term is a.
Thus, since they are consecutive terms of a G.P, it means that;
(a + 9d)/(a + 3d) = (a + 3d)/a
Cross multiply to get;
a(a + 9d) = (a + 3d)(a + 3d)
a² + 9ad = a² + 6ad + 9d²
a² will cancel out to give;
9ad - 6ad = 9d²
3ad = 9d²
Divide both sides by 3d to get;
a = 3d
We are told that the first term is 4.
Thus, 4 = 3d
d = 4/3
We saw earlier that ratio of the GP is (a + 3d)/a
Thus; r = (4 + 3(4/3))/4 = 8/4 = 2
Sum of n terms of a G.P is given by;
S_n = a(rⁿ - 1)/(r - 1)
S_6 = 4(2^(6) - 1)/(2 - 1)
S_6 = 252
Four circles of radius 3 are arranged as shown. Their centers are the vertices of a square. The area of the shaded region is closest to:
A. 7.7
B. 12.1
C. 17.2
D. 18
E. 27
Answer:
Its A, 7.7
Step-by-step explanation:
The distance from Agnew Middle School to Baylor University is 180 kilometers. There are approximately 8 kilometers in 5 miles. Which measurement is closest to the number of miles between these schools? * 22 mi 113 mi 288 mi 175 mi
Answer:
113 miles
Step-by-step explanation:
Distance = 180 km
Number of km per mile = (8/5) = 1.6 miles
Number of miles between the schools:
Distance / Number of kilometers per mile
180km / 1.6
= 112.5 miles
= 113 miles
Distance between the schools is approximately 113 miles
PLEASE HELP
Write the equation of the line that passes through the given
points in slope-intercept form.
(-1, 5) and (-4, 2)
Answer:
m = 1
Step-by-step explanation:
Slope-intercept form:
Y= x + 6
point-slope form
y - 5 = 1 . (x + 1)
Help me please..,................
Answer:
165and 75 is your answer
Answer:
hope it helps you have a great day keep smiling be happy stay safeSquare root of -8 multiplied by the square root of -32
Write the equation for the following graph:
Slope (m)
Y-intercept (b)=
Equation: y =
X +
Answer:
y = - 3x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-4}{0+2}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3
The line crosses the y- axis at (0, - 2 ) ⇒ b = - 2
y = - 3x - 2 ← equation of line
pls this is a simultaneous equation- one linear one quadratic a-2b =2 -------- (1). a²+b²+2a -3b =19 --------(2). pls I need it urgently thanks
Answer:
Hence a = 3.66 and -3.628
b = 0.834 and -2.634
Step-by-step explanation:
Given the equations
a-2b =2 -------- (1)
a²+b²+2a -3b =19 --------(2).
From 1;
a = 2 + 2b
Substitute into 2
(2+2b)²+b²+2a -3b =19
Expand
4 + 8b + 4b²+b²+2(2+2b)-3b = 19
4b²+b²+8b+4b+4+4-3b = 19
5b²+9b+8 = 19
5b²+9b-11 = 0
b = -9±√81+4(55)/2(5)
b= -9±√301/10
b = -9+17.34/10 and -9-17.34/10
b = 8.34/10 and -26.34/10
b = 0.834 and -2.634
Since a = 2+2b
a = 2+2(0.834)
a= 2 +1.668
a = 3.668
Also
a = 2+2(-2.634)
a = 2 - 5.628
a = -3.628
Hence a = 3.66 and -3.628
b = 0.834 and -2.634
Find the missing supplementary angle.
The admission fee at a high school basketball game is $4.00 for students and $6.00 for
adults. At their Friday night game, 150 people attended the game and $720 was
collected. How many students and how many adults attend
Answer:
60 adults and 90 students.
Step-by-step explanation:
90x4= 360
60x6= 360
360+360=720
A small submarine starts at –1,260 feet in relation to sea level. Then it descends 5 feet per minute for 12 minutes.
What expression represents the new position of the submarine in relation to sea level?
Answer:
We know it's at -1260 feet and descends 5 per minute
The expression of this would be: -1260 - 5x, where x would be the time in minutes, as from -1260 feets it descends 5 per min.
Then, if we need to calculate it when it passes 12 minutes, we can replace the x by 12, and get the distance it would be
-1260 -5*12 = -1320 feet
And the answer would be -1320 feets
Hello can someone please help?
I’ve already done these but I wanna be sure I got the right answer!!
Answer: 1. 71.4
2. 40.10
Step-by-step explanation:
1. The radius is half of the diameter so just divide 142.8 by 2
2. Diameter is easy 20.5*2
Hope this helped :)
PLEASE HELP ME I BEG OF YOU
= d+5+d+5+d+5+d+5
= 4d+20
=4(d+5)
I hope this helps ♥☺️help please
variable expressions with exponents
Answer:
Answer is 30
Explanation
6²+x-x²
When x=3»»
6²+3-3² =36+3-9=30
who's faster a dog or a fish plz help me
Answer:
fish
Step-by-step explanation:
Which of the following needs to be true in order to show that AXYZ - ADEF by
AAS theorem?
y
E
Given:
ZYSZD
ZVEZE
F
A. ZZ & ZF
B. XY - DE
C. YZ EF
D. XY - DF
Answer:
I think it's answer is B. XY-DE.
Solve the system. Y = 1/2x - 3 Y= 4 + 1/2x
Answer:
y=
1
2
x;−3y=4+
1
2
x
Rewrite equations:
y=
1
2
x;−3y=
1
2
x+4
Step: Solvey=
1
2
xfor y:
y=
1
2
x
Step: Substitute
1
2
xforyin−3y=
1
2
x+4:
−3y=
1
2
x+4
−3
1
2
x=
1
2
x+4
−3
2
x=
1
2
x+4(Simplify both sides of the equation)
−3
2
x+
−1
2
x=
1
2
x+4+
−1
2
x(Add (-1)/2x to both sides)
−2x=4
−2x
−2
=
4
−2
(Divide both sides by -2)
x=−2
Step: Substitute−2forxiny=
1
2
x:
y=
1
2
x
y=
1
2
(−2)
y=−1(Simplify both sides of the equation)
Answer:
x=−2 and y=−1
Step-by-step explanation:
Sorry if it is too confusing
Answer:
x = 13, y = 7/2 (You can check this yourself by plugging in the numbers yourself.)
Step-by-step explanation:
if are is 24cm² find the x
Answer:
[tex]x = 6[/tex]
Explanation:
Given:
[tex]Area = 24cm^2[/tex]
See attachment for shape
Required
Find x
The attached shape is a rectangle.
So:
[tex]x * 4 = 24[/tex]
[tex]4x = 24[/tex]
Divide both sides by 4
[tex]\frac{4x}{4} = \frac{24}{4}[/tex]
[tex]x = \frac{24}{4}[/tex]
[tex]x = 6[/tex]
David wants to buy a bowling ball that has a price of $120. As a member of a bowling league, he is entitled to a 15% discount off the price of the bowling ball. He will also have to pay 6% sales tax on the discounted price of the bowling ball. What is the final price David pays for the bowling ball, after the sales tax and discount applied?
Answer:
$109.2
Step-by-step explanation:
Given data
Cost of bowling ball= $120
DIscount= 15%
Tax= 6%
let us calculate the discount and tax
=15/100*120
=0.15*120
=$18
=6/100*120
=0.06*120
=$7.2
In all the bill is 120-18+7.2
=102+7.2
=$109.2