Answers
Answer:
Step-by-step explanation:
Equation: (3x+7) + (10x+17) = 180
*These are consecutive interior angles and they add to 180 degrees
1.) Add like terms
13x + 24 = 180
2.) Subtract 24 from both sides
13x = 156
3.) Divide each side by 13
x = 12
*Substitute x in both expressions to get angle measures
Value of x: 12
3(12)+7 = 36+7 = 43
10(12)+17 = 120+17 = 137
*Check 43+137 = 180
Angle Measures: 1st angle: 43 degrees
2nd angle = 137 degrees
Related Questions
(5x2 + 4x + 3) - (2x2 - 2x + 5)
Answers
Answer:
3x^2+6x-2
Step-by-step explanation:
(5x2 + 4x + 3) - (2x2 - 2x + 5)
5x^2+4x+3-2x^2+2x-5
3x^2+6x-2
I need help but the green is correct but I need help with the first 2 I need to turn this in 10 mins
Answers
Answer: see work
Step-by-step explanation:
Blue:
9-5+3x4
Red:
10+6/3+8x2
Answer:
Work
Step-by-step explanation:
Blue:
9-5+6-5
Red:
4+4+5
someone please help me answer this!!
Answers
Answer:
c = 85 in is the answer.
Step-by-step explanation:
a = 36 in
b = 77 in
c = ?
According to the Pythagoras theorem,
a² + b² = c²
36² + 77² = c²
1296 + 5929 = c²
7225 = c²
c = 85 in
∴ c = 85 in is the length of the missing leg.
36^2+77^2=c^2
1296+5929=c^2
C^2=7225
C=-_/7225
C=85
What is the value of (5)3?
Answers
Answer:
15
Step-by-step explanation:
This is simply just 5 x 3 = 15
Solve the equation:
[3 2
5 5]
[x1
x2]+
[1
2]=
[2
-3]
Answers
9514 1404 393
Answer:
(x1, x2) = (3, -4)
Step-by-step explanation:
As with any 2-step linear equation, subtract the constant, then multiply by the inverse of the coefficient of the variable.
[tex]\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]+\left[\begin{array}{c}1\\2\end{array}\right]=\left[\begin{array}{c}2\\-3\end{array}\right]\\\\\left[\begin{array}{cc}3&2\\5&5\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}1\\-5\end{array}\right]\\\\\left[\begin{array}{c}x\\y\end{array}\right]=\dfrac{1}{5}\left[\begin{array}{cc}5&-2\\-5&3\end{array}\right]\left[\begin{array}{c}1\\-5\end{array}\right][/tex]
Performing the multiplication of the matrix by the vector gives the solution.
x = ((5)(1) +(-2)(-5))/5 = 15/5 = 3
y = ((-5)(1) +(3)(-5))/5 = -20/5 = -4
Using your variables, x1, x2, the solution is ...
(x1, x2) = (3, -4)
The price of an item has been reduced by 45%. The original price was $63.
Use the ALEKS calculator to find the price of the item now.
se]
?
Answers
Answer:
$28.35
Step-by-step explanation:
[tex]45\% \times 63 \\ = 0.45 \times 63 \\ = 28.35[/tex]
a gardener is growing tomato plants. one plant starts out 5 cm tall. it grows a constant 2 cm every week. what equation represents the height h of the plant after t weeks
a t= 5h+2
b t= 2h+5
c h=5t + 2
d h = 2t+5
Answers
Answer:
D) h=2t+5
Step-by-step explanation:
BRAINLIST!!!
A construction crew built 7 1/2 miles of road in 3 1/8 days.
What is the unit rate in miles per day?
Write your answer as a fraction or a mixed number in simplest form.
Answers
Answer:
If you think numbers with fractions are annoying, consider transforming the number into fractions!
Step-by-step explanation:
7 1/2 is (14+1)/2, and 3 1/8 is (24+1)/3. Not you have 15/2 miles for 25/3 days and by dividing them you get 0.9 miles a day
Drag the word or expression to complete the function.
Answers
Answer:
-5 cos (2x)
Step-by-step explanation:
Reflection over x axis just means "multiply by -1" so the answer is
f(x) = 5 cos (2x)
g(x) = -5 cos (2x)
Julie runs 3 miles each morning. How far does she run in feet?
(1 mile = 5,280 feet)
Answers
Answer:
15,840 feet
Step-by-step explanation:
5,280*3 = 15840
Since she runs 3 miles each morning, and 1 mile is 5,280,
then you multiply 5,280*3
How do you factor x^3-2x^2+3x-6
Answers
Answer:
(x - 2) (x^2 + 3)
Step-by-step explanation:
x^3-2x^2+3x-6
Factor by grouping
Answer:
Factor by grouping
Step-by-step explanation:
[tex]x^{3}-2x^{2} +3x-6[/tex]
[tex]x^{2} (x-2) + 3 (x-2)[/tex]
[tex](x^{2} +3)(x-2)[/tex]
n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.
Answers
Answer:
Step-by-step explanation:
The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.
Null hypothesis: Vitamin C has no effect on preventing colds.
Alternative hypothesis: Vitamin C has a strong effect on preventing colds.
Assuming, significance level = 0.05
Since the p-value for the difference is 0.03 which is less than 0.05.
Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).
As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.
1. Find y if log, y – 2 = log, 92.
Answers
Answer:
well, if I use a bit of lateral thinking; if y = 94, the the left hand side [ log(y-2)] simplifies down to log(92) which is the right hand side.
so y = 94
A loan of $16,840 is borrowed at 9% simple interest and is repaid with $4,167.90 interest. What is the duration of the loan?
Answers
9514 1404 393
Answer:
2 3/4 years
Step-by-step explanation:
The interest is given by the formula ...
I = Prt . . . . . . principal P at annual rate r for t years
Solving for t gives ...
t = I/(Pr)
t = 4167.90/(16840×0.09) = 2.75
The duration of the loan is 2 3/4 years.
Element X is a radioactive isotope such that every 26 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 390 grams, how long would it be until the mass of the sample reached 260 grams, to the nearest tenth of a year?
Answers
Answer:
It will take 15.029 years for element X to reach mass of 260 grams
Step-by-step explanation:
The half life period of radioactive element X is 26 years
The initial mass of radioactive element X is 260 grams
Elapsed time = half life * log (beginning amount /ending amount)/log 2
Substituting the given values, we get
Elapsed time = 26 * log (390/260)/log 2
= 15.209 years
How many solutions are there in the following system of equations? (
one solution, no solutions, infinitely many solutions)
- 8x + 2y = -16
4x - y = 10 PLEASW HELP
Answers
Answer:
No solutions
Step-by-step explanation:
-8x+2y = -16
4x-y = 10 [multiply by 2 so it is easier to add/subtract]
-8x+2y = -16
8x -2y = 20
0 = 4
0 and 4 cant be equal so theres no solution
Please help I’ll mark you as brainliest if correct
Answers
Answer:
X=28
Step-by-step explanation:
If x=28 then the degrees of the corners are 26, 84, and 70
Those added together equals 180 degrees, the amount of degrees a triangle is supposed to have.
Answer:
x = 28
Step-by-step explanation:
Okay, so we know that all the angles in a triangle are supposed to add up to 180°, and we already have our 26°, so we can take that off:
180 - 26 = 154
So our two angles add up to 156, so we set up our problem like this:
3x + 2x + 14 = 154
So now we combine like terms:
3x + 2x = 5x
So now our equation is:
5x + 14 = 154
So now we just have to do the inverse operations thing:
154 - 14 = 140
140 ÷ 5 = 28
So, x = 28
if this is wrong, let me know so I can fix it
hope this helps:)
A bag contains 5 apples, 4 peaches, and 3 oranges. What is the probability of choosing an apple?
Answers
10. What is the perimeter of the figure on the coordinate plane below?
A 32 units
B 24 units
C 22 units
D 14 units
Answers
Answer:
24 units
Step-by-step explanation:
Each line plot equals 2, so the length is 8 and the hight is 4. 8+8+4+4 = 16 + 8 = 24 units.
What is the smallest number of people you need for
the probability to be 100 percent that at least two of
them were born in the same month?
Answers
I believe The answer would be two if this is the correct question
The Y-Axis on a Coordinate plane runs vertical.
Answers
Answer:
good
Step-by-step explanation:
So when you do the (,) things the x-axis would go first for example
say the x-axis=5 and the y-axis= 9 it would be (5,9)
hope this helps plz mark brainlest
Can a right triangle have a leg that is 10inches long and a hypotenuse that is also 10inches long? Why or why not? Explain your reasoning
Answers
Answer:
No, the smallest ratio between a hypotenuse and a leg is in the 45/45/90 special case. In this case, the ratio between the hypotenuse and either legs is
√2:1
If the leg is 10 inches long, the smallest the hypotenuse can be is 10√2.
Convert r=2/7sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the blanks. Enter values so that fractions are simplified.
y=_/_x + _/_
Answers
Answer:
x²+y²=√(2/7 x-y)
is the answer, i think
1/3 divided by 7/6 can u solve it?????
Answers
Answer:
2/7
Step-by-step explanation:
when you divide a fraction by a fraction, flip the second fraction. 1/3 x 6/7 is 6/21, then you reduce it. divide 6 by 3 and 21 by 3, =2/7
Answer:
0.28571428571
Step-by-step explanation:
This is the calculated answer.
But after a lot of. technical,work the answer,ends up be 2/7
can i please have some actual help with this?
Answers
Answer:
x = 286.01 inches
Step-by-step explanation:
Given that,
Height of the ramp, H = 20 inches
Angle of elevation, [tex]\theta=4^{\circ}[/tex]
We need to find the value of x. It can be solved using trigonometry as follow :
[tex]\tan\theta=\dfrac{P}{B}[/tex]
Where
P is perpendicular and B is base
So,
[tex]\tan(4)=\dfrac{20}{x}\\\\x=\dfrac{20}{\tan(4)}\\\\x=286.01\ in[/tex]
So, the value of x is equal to 286.01 inches.
Answer choices
18
25
30
40
Please help no links I will report
Answers
Because is 40% and is ok most 50%
Answer:
the 75 person is the 100 percent then 40 is x x=(40 ×100 )÷75x=53 then the nb of people preffar hotdogs ic 53Name the ordered pair for point R
Answers
Can you post a picture please
What is the volume of a sphere with a diameter of 22ft? Round your answer to the nearest cubic foot.
8359 cubic feet
6193 cubic feet
• 2786 cubic feet
5572 cubic feet
Answers
Answer:
D) 5,572
Step-by-step explanation:
4/3×pi×r^3
4/3×3.14×11^3
5572.453...
5572
DUE IN THREE MINUTES
i give brainliest
factor each expression:
9+21
14+28
80+56
Answers
Answer:
Step-by-step explanation:
The secret trick to factoring is the greatest common factor.
The greatest common factor of 9 and 21 is 3. Thus, our expression is
3(3 + 7).
The greatest common factor of 14 and 28 is 7. Our expression is
7(2 + 4)
The greatest common factor of 80 and 56 is 8. This makes our expression
8(10 + 7).
3(3+7)
7(2+4)
8(10+7)
Solve the Inequality Give 5 solutions of the inequality ( Show your solution).
2x -3 < 5
Answers
Answer:
Inequality Form:
x<4
1<4
3<4
-1004<4
Interval Notation:
(−∞,4)
(-1004,4)
(3,4)
(1,4)
Step-by-step explanation: