Answers
Step-by-step explanation:
the essential thing to remember here (and please, burn this into your brain for life) : the sum of all angles in a triangle is always (really always) 180 degrees.
therefore, in 12 and 13 we only need to add all 3 angles, and their sum must be 180.
from there we get really all 4 answers.
the next thing to consider is when a triangle had two equal angles, then it is an isoceles triangle (the 2 sides leading away from these 2 angles are equally long). that gives us the answers for 14 and 15.
12.
3x + 18 + 7x - 58 + 2x - 8 = 180
12x - 48 = 180
12x = 228
x = 19
angle A = 3x+18 = 3×19 + 18 = 57+18 = 75 degrees
angle B = 7x-58 = 7×19 - 58 = 133-58 = 75 degrees
angle C = 2x-8 = 2×19 - 8 = 38 - 8 = 30 degrees
13.
8x - 17 + 19x + 4 + 5x + 1 = 180
32x - 12 = 180
32x = 192
x = 6
angle Q = 8x-17 = 8×6 - 17 = 48-17 = 31 degrees
angle R = 19x+4 = 19×6 + 4 = 114+4 = 118 degrees
angle S = 5x+1 = 5×6 + 1 = 30+1 = 31 degrees
14.
KL = 9x - 14
LM = 7x - 37
KM = 3x + 23
angle K = angle L
so, the sides LM and KM must be equally long. that gives us
7x - 37 = 3x + 23
4x = 60
x = 15
KL = 9x-14 = 9×15 - 14 = 135-14 = 121
LM = 7x-37 = 7×15 - 37 = 105-37 = 68
KM = 3x+23 = 3×15 + 23 = 45+23 = 68
15.
XY = 13x - 21
YZ = 8x - 6
XZ = x + 4
angle X = angle Z
so, the sides XY and ZY (or YZ) must be equally long. that gives us
13x - 21 = 8x - 6
5x = 15
x = 3
XY = 13x-21 = 13×3 - 21 = 39-21 = 18
YZ = 8x-6 = 8×3 - 6 = 24-6 = 18
XZ = x + 4 = 3+4 = 7
Related Questions
Please can I have help on this?
Answers
Answer:
9 :)
Step-by-step explanation:its 9
answer and please show work.
Answers
Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x
The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)
Simplify.
m=11/2.
Multiply as indicated. Write the product in standard form. An explanation is needed.
(2+i)^2
Answers
Answer:
2^2 + i^2 or 4 + i^2 (depending if the teacher wants it simplified or not)
Step-by-step explanation:
(2+i)^2
Basically just add the power to each number using the distributive property. 2 would go to 2^2 (which can be simplified to four) and i would go to i^2.
if a ll b and line c is perpendicular to line a then line b and c are?
Answers
Answer:
perpendicular
Step-by-step explanation:
Answer:
Perpendicular
If f(x)=X^2+1, g(x)=9x_1
Answers
Answer:
I dod not understand the question. Do you need to find the solution? ifso, it is (0,1)
Step-by-step explanation:
In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answers
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
Answers
Answer:
x = -10 or 2
Step-by-step explanation:
Amir invests £2000 into an savings account.
Amir gets 4.75% per year compound interest.
Work out how much Amir will have in the account after 9 years.
Answers
Answer:
£30000
Step-by-step explanation:
I used a couculator
Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8
Answers
Answer:
B, D and E
Step-by-step explanation:
The first triangle inequality theorem states:
the lengths of any two sides of a triangle must add up to more than the length of the third side.
So as long as the sum of the two shortest is greater than the longest side a triangle is possible
А
7 + 9 < 17 NO
B
2 + 7 > 8 YES
C
1 + 3 < 5 NO
D
3 + 5 > 6 YES
E
12 + 12 > 13 YES
F
3 + 8 = 11 NO
-3(u+4)-2u=2(u+1)
a) no solution
b) u=
c) All real numbers are solution
Answers
Answer: u = -2
Step-by-step explanation:
-3(u+4)-2u=2(u+1)
-3u-12-2u=2u+2
-5u-12=2u+2
-7u = 14
u = -2
93 is what percent of 300
Answers
[tex]\sf \longmapsto \: \dfrac{93}{300} [/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times x[/tex]
[tex]\sf \longmapsto \: \dfrac{93}{300} \times 100[/tex]
[tex]\sf \longmapsto \cancel\dfrac{93}{300} \times \ \cancel\dfrac{100}{100}[/tex]
[tex]\sf \longmapsto \: \dfrac{31}{100} [/tex]
[tex]\sf \longmapsto \: 31\%[/tex]
An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price
Answers
Answer:
$19.25
Step-by-step explanation:
Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75
Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.
An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.
solve by factoring x^2+5-14=0
Answers
Answer:
Factored -> (x+7)(x-2)
Step-by-step explanation:
If you are solving for x then its x= -7, x=2
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Answers
Urgently please it is due today
Answers
Answer:
1/4.
Step-by-step explanation:
There are 12 possible outcomes.
There are are 3 outcomes represented by 4B.
So required probability = 3/12 = 1/4.
[ READ ATTACHMENTS ] !!! [ HELP ME ASAP PLEASE!! ]
A.) $4,000
B.) $5,100
C.) $4,100
D.) $3,900
Answers
Total up the Consumption,Investment, Government Spending and Exports then minus the Total Imports. So the correct answer is C. $4,100
ples help meeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
po 989r9 vcmc cohol,j
Step-by-step explanation:
Write 9 2/3 as a inpropper fraction
Answers
9/1 x3/3 = 27/3
27/3 + 2/3 = 29/3
Answer:
29/3
Step-by-step explanation:
hopes this helps :)
If my dad drives at a rate of 120 miles every 2 hours, how many miles will he drive in 12 hours? A 720 miles B 320 miles C 120 miles D 600 miles. please help me....
Answers
Answer:
A: 720 miles
Step-by-step explanation:
Since in 2 hours he drives 120 miles we can calculate the rate for 1 hour by diving the miles by 2
1 hour he will have driven 60 miles
Since we are looking for how much would be driven in 12 hours we multiply 60 by 12. Giving us 720 miles in 12 hours
Consider the following shape drawn on a centimetre grid. I 1.1) Determine the perimeter of this shape.
Answers
Answer:
its 19 ur welcome byeeee
Step-by-step explanation:
f(1) = 4
f(x) = f(x-1) + 3
Find f(2)
Answers
f(2)= f(2-1)+3
f(2)=f(1)+3
In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?
Answers
Answer:
34 boys
Step-by-step explanation:
you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34
What are the terms in the following expression? Choose all that apply.
c + 4a + 2b + 7
Answers
Answer:
C, 4a, 2b and 7
Step-by-step explanation:
PLEASE ANSWER THIS AS SOON AS POSSIBLE AND CORRECTLY
This table represents the number of inches, n, a plant grows after m, months in a new pot.
When graphed, all of the points in the table lie on the same line.
Months, m Plant height in inches, n
0 2
2 4
4 6
6 8
What are the slope and y-intercept of the line?
Question 1 options:
Slope = 2, y-Intercept = -4
Slope = -2, y-Intercept = -4
Slope = 1, y-Intercept = 2
Slope = -1, y-Intercept = 2
Answers
Answer:
Y-Intercept would be 2, Slope would be 1
Step-by-step explanation:
Answer this -
also can you answer faster kid?
Answers
Let's assume the triangle having sides as A, B & C, With an extended exterior side as D. (Refer the above attachement for better view!)
We know that the angles opposite to equal sides of a triangle are equal.
∴ AB = AC ⇒ ∠B = ∠C
Now, Side BA of Triangle ABC has been produced to D.
∴ ∠CAD = ∠B + ∠C (Exterior angle = sum of int. opp. angles)
⇒ 3x - 10 = 25 + x + 15
⇒ 3x - 10 = 40 + x
⇒ 3x - x = 40 + 10
⇒ 2x = 50
⇒ x = 50/2
⇒ x = 25
∴ The value of 'x' in the given figure is 25!
▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄▄Find the slope of the line that passes through (7, 1) and (2, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Plug in the values
(3-1)/(2-7) = 2/-5 = -2/5
The slope is -2/5
Answer:
-2/5
Step-by-step explanation:
slope equation is as follows -
(y1-y2)/(x1-x2)
now we just put (7,1) and (2,3) into the formula
(1-3)/(7-2)
-2/5
sales tax is 7% what is the amount of sales tax you would pay this bill
Answers
% means per 100
so when figuring out percents it's good to use 100
so
on $100 7% would mean $7
on $50 7% would mean $3.5
in $200 7% would mean $14
20 decreased by the product of 5 and a number x
Answers
Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?
Answers
Answer:
$382.5
Step-by-step explanation:
First get the 4.25% of $3000. then multiply it by 3-representing 3 years.
hope it can help you lovelots
the perimeter of a rectangle is 20cm. if the breadth of the rectangle is 2cm what is it's area
Answers
Answer:
perimeter =20cmbreadth=2cmlength=?we know that
perimeter =2*(l+b)
20=2*(l+2)
20=2l+4
2l=20-4
2l=16
l=16/2
l=8