Answer:i)16y^2−4x^2
ii) i don't know the other one sorry
Step-by-step explanation:
Gina Wilson all things algebra unit 4 homework 3 questions 12-15
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
Which pair of sneakers has the lowest sale price?
A) 20% off $35
B) 10% off $29
C) 15% off $30
D) 30% off $38
15% off $30 has lowest sale price. Therefore, option C is the correct answer.
What is sale price?A sale price is the discounted price at which goods or services are being sold.
A) 20% off $35
20/100 ×35
= 0.2×35
=$7
Sale price =35-7=$28
B) 10% off $29
10/100 ×29
= 0.1×29
= 2.9
Sale price =29-2.9
= $26.1
C) 15% off $30
15/100 ×30
= 0.15×30
= 4.5
Sale price =30-4.5
= $25.5
D) 30% off $38
30/100 ×38
= 0.3×38
= $11.4
Sale price=38-11.4
= $26.6
Therefore, option C is the correct answer.
Learn more about the sale price here:
https://brainly.com/question/29199569.
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Hello! Please answer this ASAP. Thanks!
Answer:
x=3
Step-by-step explanation:
Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.
A cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?
well im guessing it the average highway speed 60 mph so it is $7
Jessica's curtain company is making curtains for a local hotel. She wants each curtain to be 24 inches long. At the fabric store, fabric is sold by the foot. If Jessica's curtain company wants to make 79 curtains, how many feet of fabric will she need? 1 inch = 1 twelfth foot
Answer:
158 feet
Step-by-step explanation:
24 inches = 2 feet
79 x 2 = 158
Does anybody know the answer or how to do this question bellow|−3+2|
How much is 25% of a 4 gallon jug of milk?
the answer is 1 because .25x4=1
Answer:
1 gallon
Step-by-step explanation:
4 / 4 = 1
(because 25% is 1/4 of 100%)
:)
Name the congruent triangles.
Answer:
ΔOGD≅ ΔPRC
Step-by-step explanation:
Indices Home Learning
Simplify the following, leaving your answers in index notation.
1. (39)
2. Zf x 9f
38
3. 124 x 1210
4. (6m)
5. 252-3
6. 42g? = 7g?
7. 39 x 36
35
8. 116 x 116
112 x 11
Solve the following.
9. 7-2
10. 3-3
Answer:
We know that,
[tex](a^{x}) ^{y} =a^{xy}[/tex]
[tex]a^{x} *a^{y} =a^{x+y}[/tex]
[tex]\frac{a^{x} }{a^{y} } =a^{x-y}[/tex]
Let's solve now.
1) [tex](3^{8})^{4} =3^{32}[/tex]
2) [tex]7f^{3} * 9f^{9} =63f^{12}[/tex]
3) [tex]12^{4} *12^{10} =12^{14}[/tex]
4) [tex](6m^{5} )^{3} =6m^{15}[/tex]
5) [tex]\frac{2^{5} }{2^{-3} } =2^{8}[/tex]
6) [tex]\frac{42g^{7} }{7g^{2} } =6g^{5}[/tex]
7) [tex]\frac{3^{9}*3^{6} }{3^{5} } =\frac{3^{15} }{3^{5} } =3^{10}[/tex]
8) [tex]\frac{11^{6}*11^6 }{11^2*11^3} =\frac{11^{12}}{11^5} =11^7[/tex]
9) [tex]7^{-2} =\frac{1}{7^2} =\frac{1}{49}[/tex]
10) [tex]3^{-3} =\frac{1}{3^3} =\frac{1}{27}[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
HELP ME PLEASE
whats 9+10?
Answer:
21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
How do you find the quotient in the equation 8÷304
Answer:
304 divided by 8 in decimal = 38
304 divided by 8 in fraction = 304/8
304 divided by 8 in percentage = 3800%
Step-by-step explanation: You just simply divide.
Ravi Makes lemonade by mixing lemon juice and water for every 1 cup of lemon juice he uses 4 cups of water.
Answer:1/4
Step-by-step explanation:
How do I find x in this ?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Correct choice is ~
[tex]x = 450[/tex]Refer to attachment for solution ~
Tarek can do a job in 4 hours. Aisha can do the same job in 6 hours. How many hours will it take the
two of them to do the job if they work together?
Answer:
it will take 10 hours
Step-by-step explanation:
6+4=10
Fiona earns $10 for mowing each lawn and $5 per hour for her work. Write an inequality to show how many lawns she needs to mow in order to earn at least $135.
Answer: [tex]\geq[/tex] 9 lawns, assuming Fiona spends 1 hour per lawn.
Step-by-step explanation:
Let Y = the amount earned from mowing a lawn. Let z be the number of hours worked on that lawn.
Y = $10 + $5(z)
We need to know the number of hours, z, for any particular lawn to be able to make this a valid equation. Not having that, we really can't set up a valid equation.
But let's assume z=1 for each and every lawn and see what we'd have.
Y = $10 + $5
Y = $15/lawn.
Fiona needs at least $135 for her Broadway ticket.
Let L be the number of lawns mowed. We need:
L*($15/lawn) [tex]\geq[/tex] $135
L [tex]\geq[/tex] 9 lawns
b) Given that tan e = 3/4, calculate
i) the length of QR
ii) the value of cos 0
6cm
P
Q
R
Answer:
0+_+0
Step-by-step explanation:Identify all the word phrases that can be represented using the expression 3t – 5.
(Choose 2)
Answer:
B
Step-by-step explanation:
3t is also represented as 3(t)
which is multyplication
theirfor the product
Answer:
Step-by-step explanation:
3t - 5
can you keep the options?
my answers would be
5 less than product of 3 and a number
I need help on Tales mathemathics below on image
Answer:
x=5
Step-by-step explanation:
i'm assuming the upper left expression is x-1 and that the 3 horizontal lines are parallel
the three horizontal lines seem to be parallel, so we have (x-1)/6 = 6/(x+4). cross multiply to get (x-1)(x+4) = 36, or x^2 +3x - 4 = 36. subtract 36 from both sides to get x^2 + 3x -40 = 0, factor or use the quadratic formula to get (x+8)(x-5)=0, so x=-8 or x=5, since we are looking for a length x can't equal -8, so x=5,
which expression is equivalent to 3(x+5)-6
A) 3x-3
B)3x-1
C )3x+9
D) 15x-6
Answer:
answer C. 3x + 9
Step-by-step explanation:
3(x + 5) - 6 =
3x + 15 - 6 =
3x + (15 - 6 ) =
3x + 9
3(x+5)-6
Multiply 3 by the inside parenthesis:
3x+15-6
Subtract
3x+9
This means our answer is C) 3x+9
I hope this helps! :)
A backpacking club can average 2 1/2 miles per hour. At that
rate, how long will it take for a hike of 8 3/4 miles?
Answer:
3.5 hours
Step-by-step explanation:
8.75/2.5=3.5
Answer:
3.5 miles
Step-by-step explanation:
maria has $100 dollars to spend. she wants to buy a sweater for $30 and a pair of jeans for $42. she would like to spend the rest of her money on t-shirts that cost $4 each. how many can she buy?
Answer:
7 T-Shirts
Step-by-step explanation:
Given:
100 Dollar
30 = sweater
42 = Jeans
4 each = t-shirts
Solution:
30+42 = 72
100-72 = 28
28/4=7
Therefore she can buy 7 T-Shirts.
Answer:
7 shirts
Step-by-step explanation:
100 (total) - 30 (sweater) - 42 (jeans) = 28 (for shirts)
28 (money) / 4 (shirt cost) = 7 (shirts)
Assuming no tax and stuff, Maria should be able to by 7 shirts on top of her other items.
so i just added a similar question but the explanation was complicated so me and my mates need help with this one as well
Answer:
Y = -X + 9
Step-by-step explanation:
yeah-ya....... right?
Need help on this! Plz help
Answer:
54 degrees
Step-by-step explanation:
First, I need to find the value of t.
So, I create an equation. Angle BPK is a right angle, so I can just add the two inner angles and set it equal to 90.
(8t + 6) + (3t + 18) = 90
Now, just solve for t.
11t + 24 = 90
11t = 66
t = 6
Finally, substitute 6 in for t.
8(6) + 6
48 + 6
54
A nurse spent 83% of a 12-h shirt caring for patients. How many hours were devoted to patient care?
Answer:
9.96
Step-by-step explanation:
12 * .83
Answer:
10 hours
Step-by-step explanation:
83% of 12 hours = 0.83 * 12 hours = 10 hours
The midpoint of DF is E(-5, 4). If the coordinates of Fare (-4, 2), What are the coordinates of D?
Answer:
(-6,6)
Step-by-step explanation:
I-Ready find the measure of angle RST
Answer:
Step-by-step explanation:
You need an image for problem to be solved, please repost it with a image, so it can be solved
What is
-3/10 + 3/10 =
Answer:
-3/10+ 3/10
lcm=10
-3+3
______
10
=0/10 = 0
Answer:
-6/10
Step-by-step explanation:
hope it helps
in figure below, lines r and s are parallel. If the m<1=47° , find:
Answer:
<3 = 47 degrees
<4 = 133 degrees
<5 = 47 degrees
<6 = 133 degrees
<7 = 47 degrees
<8 = 133 degrees
Angles 1 = 3 = 5 = 7 (vertical angles
Step-by-step explanation:
what is the volume of the prism ?
Answer:
Your answer is 150 units!
A flower pot in the shape of a truncated cone with a height of 8 in. was formed by slicing off the tip of a cone along a plane parallel to the base.The original cone had a height of 12 in. and a volume of 810 in3. What is the volume of the tip that was sliced off?
A)30 in3B)60 in3C)90 in3EliminateD)180 in3
the correct answer is B
hope I helped