The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
Please help me complete it PLEASE ASAP!!!!!!!!!
Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?
(125x3 – 8) = (5x – 2)
Answer:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
Step-by-step explanation:
Given
[tex]Dividend = 125x^3 - 8[/tex]
[tex]Divisor = 5x - 2[/tex]
Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x
[tex]\frac{125x^3}{5x} =25x^2[/tex]
Write [tex]25x^2[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]
[tex]= 125x^3 - 50x^2[/tex]
Subtract from 125x^3 - 8
i.e.
[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]
Step 2:
Divide 50x^2 by 5x
[tex]\frac{50x^2}{5x} = 10x[/tex]
Write [tex]10x[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]
[tex]= 50x^2 - 20x[/tex]
Subtract from 50x^2 - 8
i.e.
[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]
Step 3:
Divide 20x by 5x
[tex]\frac{20x}{5x} = 4[/tex]
Write [tex]4[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]4[/tex]
[tex]= 20x - 8[/tex]
Subtract from 20x - 8
i.e.
[tex]20x - 8 - (20x - 8) = 0[/tex]
Hence:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?
Answer:
2 years
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
t = 84 / ( 600 × 0.07 ) = 2
t = 2 years
The time required to
accumulate simple interest of $ 84.00
from a principal of $ 600.00
at an interest rate of 7% per year
is 2 years.
If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?
Answer:
270 calories
Step-by-step explanation:
Guthrie made the input-output table shown below.
Input (x)
1
2
3
Output (v)
4
7
10
13
4
Which of the following equations is true for all values in Guthrie's input-output table?
AI +3 = y
B :+7=y
C 3x+1=y
D) 4.1 - 1=y
9514 1404 393
Answer:
C 3x +1 = y
Step-by-step explanation:
x-values increase by 1 from row to row.
y-values increase by 3 from row to row.
The slope of the linear function is the ratio of the y-increase to the x-increase:
m = ∆y/∆x = 3/1 = 3
The only offered choice with an x-coefficient of 3 is ...
C 3x +1 = y
__
If you check this against the table entries, you find it fits.
3(1) +1 = 4
3(2) +1 = 7
and so on.
Someone help, I don't understand what trig ratio to use, or how to get the answer to w or x
Answer:
Uhm I think you need to like times the 10 to the 56? erm yeaaaaaaa SOrry if you get it wrong
Step-by-step explanation:
Answer:
1:2
Step-by-step explanation:
56*10= 560
34+56= 90
90*10= 900
X is about 2 times the size of W so it would be
1:2 (W:X)
I think i am right, i may be wrong i haven't exactly learned this yet, i am just going off by what i know. sorry if i am wrong
We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent
Answer:
56 cent per ft²
Step-by-step explanation:
Wall dimension = 35 feets * 21.5 feets
Total cost of paint used = 421.40
Area of wall = Area of rectangle = Length * width
Area of wall = 35 feets * 21.5 feets
Area of wall = 752.5 ft²
Cost of paint per square feet:
Total coast of paint / Area of wall
$421.40 / 752.5 ft²
= $0.56 per ft²
= 0.56 * 100 = 56
my question has been up too long lol
Answer:
Question 2: y = -7
Question 3: All real numbers
Step-by-step explanation:
(2) - The equation has a horizontal asysmptote that is y = -7
(3) - they are all real numbers it does not stop at any point
I hope this helps!
PLEASE HELP ME WITH ALGEBRA! THANK YOU
Answer:
She will do 61 sit ups.
Step-by-step explanation:
The number of situps are increasing by 4 each day.
So at this rate...
Day 6: 37
Day 7: 41
Day 8: 45
Day 9: 49
Day 10: 53
Day 11: 57
Day 12: 61
1. Both of the equations shown have the same solution when solved for x. What is
the value of k? Show or explain all your work. *
5x + 34 = -2 (1 – 7x) and – 3 (4x + 3) + 4 (6x + 1) = k
Your answer
PLS HELPPPP
Answer:
Step-by-step explanation:
Ted's company has received an order to print 10^6 pages. Ted's company has 100 machines., each of which can print 10^4 pages a day. Ted's coompany can print the 10^6 pages in 1/10 day, 1 day, 10 days, or 100 days?
Answer:
1 day because he has 100 machines not just one
Step-by-step explanation:
I hate how i have to write things here
Answer: Question 1 is m=-7/4
Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)
Step-by-step explanation:
Find f(-) if f(n) = 5n + 6.
Answer:
f(-1) = 1
Step-by-step explanation:
Are you missing a number after the negative in f(-)?
If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6
so f(-1) = -5 + 6 so f(-1) = 1
Need help :::::::::::::::::
Answer:
2/3
Step-by-step explanation:
First, we read the two points with circles off the graph.
They are (-4, -5) and (5, 1).
slope = (y2 - y1)/(x2 - x1) = (-5 - 1)/(-4 - 5) = -6/(-9) = 2/3
Answer: 2/3
will give brainliest! number 4 it’s the pythagorean theorem
How many roots does y=3x^2+8 have?
Answer:
This quadratic has two unequal, imaginary roots.
Step-by-step explanation:
y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots. In this case they happen to be different (unequal), as well as imaginary.
Setting y = 3x^2 + 8 = 0, we get:
3x^2 = -8, or
x^2 = -8/3
Taking the square root of both sides, we get
x = ±i√(8/3) (2 imaginary roots)
Find an overestimate for 33 x 67 by adjusting each factor up to the next ten.
Answer:
210 is my estimate
Step-by-step explanation:
19+23=2X-2
Someone help me pleaseeeeeeeeeeeeee
Answer:
x = 22
Step-by-step explanation:
19+23=2X-2
42 = 2x - 2
-2x = -2 - 42
-2x = -44
x = 22
hope this helps
The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
Please mark as brainliest
What the slope? Can someone help me
Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Step-by-step explanation:
Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?
Answer:
6-12.
Step-by-step explanation:
Between 6 to 12 two numbers must the third side of the card fall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that Sarah is creating a triangular birthday card for her teacher.
Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.
It should be known that two of the sides measure 4 inches and 9 inches.
Therefore, in between 6 to 12 the third number must be lie.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
x = -0.25 and y = -6
Solve the expression: xy
Answer:
If x = -0.25 and y = -6 then we have -6(-0.25) = 1.5
Hope this helps!
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
---
hope it helps
4. Which of these is equal to sin(70°)?
a. cos(1109)
c. cos(20°)
b. cos(160)
d. cos(709)
Find the measure of Arc XY.
Answer:
arc XY = 46°
Step-by-step explanation:
the arc of an inscribed angle is equal to 2 x the inscribed angle
mXY
2m<XZY2(23)46°5 x +4+=34
6y+3=45
8z - 7=57
11t-16=39
2n -6=12+4
3z+4=22???
Answer:
z=6
Step-by-step explanation:
3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3
A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicine. How much mg of the medicine will be in James' bloodstream at the start of day 6?
a
61.25mg
b
80.94mg
c
115.08mg
d
132.12mg
Representa en la recta numérica los siguientes grupos de números enteros e identifica entre ellos cual es el menor y el mayor. a). (-8, -6, -7, 3) b). (-9, -5, 2, 5,9) c). (-1, -8, - 5, -3, 1) d). (12,-5,0,-1,-10)
Answer:
sorry but i don't understand.
Step-by-step explanation:
how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)
1=6
x=42
cross multiply
x=7
Please mark brainlist
If XY is 4 m and WZ is 9 m, the exact volume of the cone is ___π square meters.
Answer:
[tex] 48\pi \: {m}^{3} [/tex]
Step-by-step explanation:
Radius of the cone (r) = XY = 4 m
Height of the cone (h) = WZ = 9 m
[tex]V_{cone} = \frac{1}{3} \pi {r}^{2}h \\ \\ = \frac{1}{ \cancel3} \pi {(4)}^{2}( \cancel9) \: \: \red{ \bold 3 }\\ \\= \pi \times 16 \times 3 \\ \\\purple {\bold {V_{cone} = 48\pi \: {m}^{3}}} [/tex]