Answers
Answer:
Step-by-step explanation:
m∠R = 180° - 110° [Linear pair of angles are supplementary]
m∠R = 70°
m∠S = 45° [Vertically opposite angles]
By triangle sum theorem,
m∠P + m∠R + m∠S = 180°
m∠P + 70° + 45° = 180°
m∠P = 180 -115
= 65°
Therefore, m∠A = m∠P = 65° [Vertically opposite angles]
By triangle sum theorem,
m∠B + m∠S + m∠T = 180°
m∠B + 45° + 65° = 180°
[m∠T = 65°. Since, ∠P and ∠T are corresponding angles]
m∠B = 180° - 110° = 70°
m∠C + m∠B = 180° [Linear pair of angles are supplementary]
m∠C = 180° - 70° = 110°
m∠D + m∠T = 180° [Linear pair of angles are supplementary]
m∠D + 65° = 180°
m∠D = 115°
Related Questions
y=46(1.034) x growth or decay
Answers
Answer:
growth
Step-by-step explanation:
1.034 < 1 means the number will get larger
Answer:
Step-by-step explanation:
Since the ratio or rate is greater than one this is an exponential growth function
Help! Check if my answer is right please, I’m marking brainliest!!!
A. 46.1
B. 50.1 - (my answer)
C. 76
D. 54.2
Show work, if possible. Thanks❤️
Answers
Answer:
its B
Step-by-step explanation:
Select the correct answer.
A machining company needs to manufacture more than 20 fixtures in a day. The company uses five identical machines to make the fixtures. If each machine produces x fixtures, which inequality represents this situation?
A.
5x > 20
B.
5x < 20
C.
5x > 20 + 5
D.
5x < 20 + 5
Answers
Answer:
I thinks its D.
Step-by-step explanation:
In order to become a member of the library all star members club there is a $40 signup fee and a $2 monthly fee
Answers
Answer:
do you need an equation? if so it would be 2x+40
Step-by-step explanation:
Multiplying by which number is equivalent to an increase of 23% ?
Answers
Answer:
1.23Step-by-step explanation:
Increase by 23%
x + 23% of x = x + (23/100)x = x + 0.23x = (1 + 0.23)x = 1.23x1.23 is the answer
The vertex of a parabola is (-1, -8) and the zeros are (-5, 3) Determine the equation of the parabola in standard and factored form
Answers
Answer:
Part A
The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5
Part B
The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)
Step-by-step explanation:
The coordinates of the vertex of the parabola, (h, k) = (-1, -8)
The zeros of the parabola = -5, 3
Part A
The quadratic equation representing the parabola can be written as follows;
y = a·(x - h)² + k
The standard form of the equation is f(x) = a·x² + b·x + c
k = c - b²/(4·a)
h = -b/(2·a)
c = k + a·h² = -8 + a
From the zeros of the parabola, we have;
f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0
f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0
Therefore, we have;
25·a - 5·b + c = 0...(1)
9·a + 3·b + c = 0...(2)
From which we have;
25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0
9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0
We then have;
26·a - 5·b = 8...(3)
10·a + 3·b = 8...(4)
Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;
From equation (3), we have;
26·a - 5·b = 8
∴ b = (26·a - 8)/5
From equation (4), we have;
10·a + 3·b = 8
∴ b = (8 - 10·a)/3
From b = b, by transitive property, we have;
(26·a - 8)/5 = (8 - 10·a)/3
3 × (26·a - 8) = 5 × (8 - 10·a)
78·a - 24 = 40 - 50·a
∴ 128·a = 64
a = 64/128 = 1/2 = 0.5
a = 0.5
∴ b = (26·a - 8)/5 = (26 × 0.5 - 8)/5 = (13 - 8)/5 = 1
b = 1
c = -8 + a
∴ c = -8 + 0.5 = -7.5
c = -7.5
The equation of the parabola in standard form is therefore presented as follows;
f(x) = 0.5·x² + x - 7.5
Part B
The equation of the parabola in factored form is given as follows;
With the aid of a graphing calculator, we have;
f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)
The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)
Richie is solving the equation x^2 – 12x = 28 by completing the square. What number should he add to
both sides of the equation to complete the square? Pleaseee Help
Answers
Answer:
Richie should add the number 36 to both sides.
Step-by-step explanation:
To complete the square, you need to divide b by 2, square it, then add it to both sides. In this case, you'd do this:
12/2=6
6^2=36
A flagpole casts a shadow 15 feet long. Brad is 6 feet tall. If Brad casts a 4.5ft shadow, how tall is the flag pole? (Will mark brainliest!!)
Answers
Write
9 3/5
as an improper fraction.
Answers
9x5+3 divide by 5
45+3 divide by 5
48/5
Answer:
48/5
Step-by-step explanation:
Step 1
Multiply the denominator by the whole number
5 × 9 = 45
Step 2
Add the answer from Step 1 to the numerator
45 + 3 = 48
Step 3
Write answer from Step 2 over the denominator
48/5
The slope is -8. The point
(3, 12) lies on the line. What is the equation for each linear
Answers
Step-By-Step:
y=-8x+b
12=-8(3)+b
12=-24+b
b=36
What is the measure of the missing angles?
Answers
Answer:
[tex]x = 64 + 45 \\ x = 109[/tex]
The answer is A
You’re welcome
Answers
Answer:
so you answered your own question?
Camden is going to invest $600 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Camden to end up with $920?
Answers
Answer:
320 i think lol
Step-by-step explanation:
Answer:
3.56
Step-by-step explanation:
(m - 8) ÷ 2 in standard form (no links)
Answers
Answer:
1/2m - 4
Step-by-step explanation:
find the hcf of 52 and 117 and express it in the form of 52x + 117y
Answers
Pleaseee needing helppp
Answers
Answer:
You were correct.
Step-by-step explanation:
If the input to the function y = 4x - 3 is 2 Then
y = 4 * 2 - 3
= 8 - 3
= 5
Hope it helps :)
y = -3x + 4
y = 3x - 2
graph
Answers
Answer:
Look at the graph bellow
Step-by-step explanation:
use the slope and y-intercept to graph.
need this one 3.97x62.4
Answers
Answer:
247.728
Step-by-step explanation:
(3.97)(62.4)
=247.728
HELP ME ASAP !!!!!!!*
Answers
85+70+98=253
253 divide by 3 is 84.33
Answer:
d is correct i think
Step-by-step explanation:
My brain aint working
need help on geometry would be VERY useful
Answers
Answer:
y = 7, x ≈ 9.9
Step-by-step explanation:
The remaining angle has to also be 45° which tells us we're working with an isosceles right triangle, or that y also has to be 7 (the same length).
Use the Pythagorean theorem for x.
a^2 + b^2 = x^2
7^2 + 7^2 = x^2
49 + 49 = x^2
x^2 = 98
x ≈ 9.9
The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 andthe chicken wrap costs $3.10. Today they made $268.30 from the 136 wraps sold. How many of the wraps
sold were vegetarian?
a. 57 wraps
c. 63 wraps
d. 75 wraps
b. 73 wraps
Answers
Answer:
I think it is 73
Step-by-step explanation:
Because i tryed all of the other numbers and they didnt work
HOPE THIS HELP !!!!!!!!!!!!!!!! :)
Select the expression that has a value of 23.
6 + (9 x 3) ÷ 3 + 8
(6 + 9) + 3 ÷ 3 + 8
6 + 9 x 3 ÷ (3 + 8)
(6 x 9 x 3) ÷ 3 + 8
Answers
6 + (9 x 3) ÷ 3 + 8
Which of the following graphs represents the equation
2x + y = 12?
Answers
Answer:
a
Step-by-step explanation:
Answer:
Step-by-step explanation:
I NEED HELP PLEASE Which is the better buy?
14 rolls of paper towels for $18
or
10 rolls of paper towels for $12
what is the unit rate for the 14 roll option
Answers
Answer: The second one, 10 rolls for $12. 1.29 (Rounded)
Step-by-step explanation:
14/18 is 1.29 (Rounded)
10/12 is 1.20.
The unit rate is cheaper, therefore making it the better buy
Make both numbers of rolls 140 (14x10 and 10x14)
Do the same with the dollars:
10 roll option: $168 but 14 roll option: $180
Bottom option is better
I NEED THIS ANSWERED QUICKKKK
Answers
Answer:
2/4=4/8
Step-by-step explanation:
you do 2×2=4 and 4×2=8. You multiply both denominators by 2.
Find the missing angles?
Answers
Answer:
100°
Step-by-step explanation:
Since x and the 100 degree angle which is highlighted in blue are vertical to each other, they are parallel to each other as it is vertically opposite angles.
If they are parallel, it means
Angle highlighted in blue = 100°
x = 100°
Help please
Will give brainest
Answers
Answer:
first option
Step-by-step explanation:
Using the rule of exponents
[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex] then
[tex]5^4)^{3}[/tex] = [tex]5^{4(3)}[/tex] = [tex]5^{12}[/tex]
Can someone help hurryy!!
Answers
Answer:
32km
Step-by-step explanation:
An octagon has 8 sides. 8 * 4 = 32
Answer:
32km
Step-by-step explanation:
To calculate the perimeter of a polygon, just add all of the sides together.
In this case, take 4 and multiply it by 8 (since there are 8 sides)
4km x 8 = 32km
en un gimnasio pusieron 27 filas de sillas . en cada fila pusieron 48 sillas , cuantas sillas se pusieron en el gimnasio?
Answers
Answer:
1296
Step-by-step explanation:
Answer:
what i dont understand the word
The sales tax in one town is 8%. So, the total cost of an item can be written as c+0.08c. What is the total cost of an item that sells for 12?
Answers
Answer:
12.96c
Step-by-step explanation:
Given the total cost of an item written as c+0.08c. To get the total cost of an item that sells for 12, we will write;
1 item = c+0.08c
1 item = 1.08c
For 12items;
12 = x
Divide both expressions
1/12 = 1.08c/x
1 * x = 12 * 1.08c
x= 12.96c
Hence the total cost of 212 items is 12.96c