Answer:
62°
Step-by-step explanation:
Given that the triangle has two angle measures of 41° and 77°.
All the angles in a triangle must add up to 180° (e.g. 20° + 60° + 100°). So we write a simple equation to solve for the mystery angle measure:
Let x = the missing measure
[tex]41 + 77 + x = 180[/tex]
Now that we have our equation, let's start solving it. First, we need to add 41 and 77 together which simplifies the equation: [tex]118 + x = 180[/tex]
Then we subtract 118 from both sides to isolate x - this will give us the value of this variable: [tex]x = 62[/tex]
Therefore, the third angle must have a measure of 62°.
A student solved the given equation and justified every step except one. What is the missing reason? A) Associative property of addition B) Commutative property of addition C) Multiplicative property of equality D) Distributive property of multiplication over addition
Given:
The statements and reasons to solve an equation.
To find:
The missing reason.
Solution:
If a, b and c are three real number, then
Associative property of addition : [tex](a+b)+c=a+(b+c)[/tex]
Commutative property of addition : [tex]a+b=b+a[/tex]
Multiplicative property of equality : [tex]a=b\Leftrightarrow ca=cb[/tex]
Distributive property of multiplication over addition : [tex]a(b+c)=ab+ac[/tex]
In the given step, [tex](x+-3)+3[/tex] is written as [tex]x+(-3+3)[/tex].
It means, only parenthesis are changed, which is possible by Associative property of addition.
So, the missing reason is Associative property of addition.
Therefore, the correct option is A.
The department store sells logo t-shirts at an original price of $12.50. Every month that a t-shirt doesn’t sell, the store reduces the price by 25%. Brianna calculated the price after two reductions:
12 dollars and 50 cents minus (12 dollars and 50 cents) (0.25) minus (12 dollars and 50 cents) (0.25) = 6 dollars and 25 cents
What is Brianna’s error?
Answer:
Brianna subtracted $12.50, even though you are not supposed to do that to find the price. You have to subtract $6.50, not $12.50.
The final answer is $7.04 because you subtract two initial prices.
Hope this helps you!
Answer:
The sample answer is :Brianna took both 25% discounts off the original amount. The second discount should have been calculated on the first reduced price of $9.38. The final sale price should have been $7.03.
Step-by-step explanation:
hope this helps :)
what is 40 times 8 minus 10 to the power of 2
Answer:
220
Step-by-step explanation:
40 x 8 = 320
[tex]10^{2}[/tex] = 100
320- 100 = 220
Hope that helps and have a great day!
Answer:
220
Step-by-step explanation:
Rewritten in numerical terms, the problem is:
40 * 8 - 10^2
Remember PEMDAS:
10^2 = 100
40*8 = 320
320 - 100 = 220
220
Help me solve 5 and 6 please someone
Answer:
5) 1
6) -13
Step-by-step explanation:
f(x) = -x -8 g(x)= x^2 +8x -15
f(1) = (-1 -8) +10 g(-9)= (-9)^2 +8(-9) -15 -7
f(1) = 1 g(-9) = -13
if mr. Johnson dress 172 miles from Seattle to Portland in 4 hours then the average speed of the rental van for that portion of the trip is how many miles per hour?
Answer:
43 miles per hour
Step-by-step explanation:
just divide 172 by 4!
Answer:
43 miles per hour
Step-by-step explanation:
172 divided by 4
I need help with 29 and 30
Answer:
29 is 1.50 i think
Step-by-step explanation:
Answer:
Area is 0.15. Measure ratio is 1:2.
Step-by-step explanation:
Area is length x width.
60 degree angle is half of 120 degree angle.
Please help me . I’m begging you :( thank you
if y is directly proportional to x and y = 56 when x = 8 what is the value of y when x = 13
Answer:
y=91
Step-by-step explanation:
if x=8 when y=56,we can make a formula like this(y=7x) &then we can solve easly
y=7x
y=7*13
y=91
i hope helps you
Evaluate each using the values given. x+z+y; use x = 4, y = 4, and z = 6
Answer:
14
Step-by-step explanation:
x + z + y = ?
First, substitute in x for 4, y for 4, and z for 6
4 + 6 + 4
Add 4 and 6
10 + 4
Add 10 and 4 to get your answer:
14
Answer:
X + y + z= 4 + 4 + 6= 14 . The Answer is 14. I hoped this helpful for you . If you like this answer then mark this answer as BRAINLIEST answer....Thank you ☺️☺️
Algebra II Question One
Answer:
(a). 4n = 4²
n = 2
(b). 3n = 1/81
3n = 1/3⁴
3n = 3 power -4
n = -4
Simplify the following numerical expressions.
|7| - 7 =
2|-7| =
(-7)^2 =
-7-|-7|=
-7-1-71=
Answer:
|7| - 7 = 0
2|-7| = 14
(-7)^2 = 49
-7-|-7|= -14
-7-1-71= -79
Step-by-step explanation:
Answer:
|7| - 7 = 0
2|-7| = 14
(-7)^2 = 49
-7-|-7|= -14
-7-1-71= -79
Step-by-step explanation:
Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
Answer:
9 weeks
Step-by-step explanation:
5 x 9 = 45
45 + 55 = 100
Answer:
55 + 5x ≥ 100.
5x ≥ 45.
Step-by-step explanation:
write the first equation shown above first, then subtract 55 from 55 and 55 from 100. do not use 0 later on in your equation! 100 - 55 = 45. then write the second equation. after you write the second equation, divide 5 by 5 and 45 by 5. do not use 0 later on in your equation! 45 divided by 5 = 9. she must save for 9 weeks. i hope this works! here is a picture of my work to help you understand it better! <3 it’s kind of blurry, but if you focus enough it’s easier to read.
9. The amount of money Allen earns varies directly with the amount of time he works. He earns
$19 for working 2 hours. How much can Allen earn if he works 5 hours?
Answer:
47.5
Step-by-step explanation:
19÷2=9.5x5=47.5
PLEASE HELP IM BEING TIMED!
Find KJR
Options: 4
61
55
50
Answer:
61
Step-by-step explanation:
Let's see what to do buddy...
_________________________________
KJI = KJR + RJI
So :
172° = ( 6x -5 )° + ( 12x -3 )°
172° = 18x - 8°
Subtract the sides of the equation plus 8°
180° = 18x
Divided the sides of the equation by 18
x = 180/18
x = 10°
_________________________________
So we have :
KJR = 6x -5 = 6(10) - 5 = 60 - 5 = 55°
KJR = 55°
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
Please help ! Simplify the expression below
Dina's birthday was 125 days ago. If today is Sunday, on what day of the week did her birthday fall?
Answer:
her birthday is on Saturday
Step-by-step explanation:
choose the statement that correctly compares the unit rates
please help, im not feeling good
Answer:
A
Step-by-step explanation:
Answer:
A. $4/1lb
Step-by-step explanation:
You can get the unit price of beef by looking at the graph, and the denominator is always the number on the bottom of this graph, and the numerator is always the one on the left. (Denominator is the bottom number in a fraction, numerator is the top)
The length of a rectangular garden is 4 feet long. The scale factor of a drawing of the garden to the actual garden is 1 inch to 0.5 foot. Find the length of the drawing.
Is the following a function? (plz help ;-;)
Answer:
Yes this is a function
Step-by-step explanation:
For every inout there is one output
Please answer this question - my sibling is bothering me about this question, I have school work to do, please answer. Urgent.
People are putting together goodie bags to sell for a fundraiser. They have 30 chocolate cupcakes, 24 brownies, and 40 chocolate chip cookies. What would be the greatest number of bags they could make if each bag is to have the same number of each kind of treat?
Thank you
Answer:
2 bags
Step-by-step explanation:
what you need to do is find the GCF or greatest common factor. which is a number they can all be divided by. 30 can be divided by 2 24 can be divided by 2 and 40 can be divided by 2. so in conclusion, in order to use every treat, and have an equal amount of treats in every bag, you can make 2 bags.
Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?
Answer:
3.2 ft
Step-by-step explanation:
50x²+250=40 x²+350
50x²-40x²=350-250
10x²=100
x²=100/10=10
x=√10≈3.1623≈3.2 ft
x2+9x+20 plz help me with it plz
Answer:
11x + 20
Step-by-step explanation:
x2 + 9x + 20
2x + 9x + 20
11x + 20
Hope this helps!
Answer
9x+2x+20
11x=-20
Step-by-step explanation:
9x+2x=-20
11x=-20
Find the quadrant of the image.
A future is translated 7 units up and 4 units left. how large is the image in comparison to the figure ? the size of the image in comparison to the figure is
A. 4 times larger
B. The same size
C. 7 times smaller
Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
Kelly has $20000 to invest, and hopes to earn $1390 in interest in the first year. She wants her investment in treasury bills to be $3000 more than her investment in corporate bonds. The expected return (in simple interest) on each investment are: Treasury Bills: 5%, Treasury Bonds: 7%, Corporate Bonds: 10%. How much should Kelly invest in each one?
Answer:
$8,000 in Treasury bills
$7,000 in Treasury bonds
$5,000 in corporate bonds
Step-by-step explanation:
Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y
From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;
So mathematically, this will be $(x - 3000)
So therefore, the amount invested in each will be;
x + y + x-3000 = 20,000
2x + y = 20,000 + 3000
2x + y = 23,000 ••••••••(i)
Let’s now work with the simple interests;
For treasury bills;
5% = 5/100 * x = 5x/100
For Corporate bonds ;
10% = 10/100 * (x -3000) = (x-3000)/10
For Treasury bonds 7%
7% = 7/100 * y = 7y/100
Adding all gives the total interest;
5x/100 + 7y/100 + (x-3000)/10 = 1390
Multiply through by 100
5x + 7y + 10(x-3000) = 1390 * 100
5x + 7y + 10(x-3000) = 139,000
5x + 7y + 10x -30,000 = 139,000
15x + 7y = 139,000 + 30,000
15x + 7y = 169,000 •••••••••(ii)
So we have two equations to solve simultaneously;
From i, y = 23,000 - 2x
Put this into ii
15x + 7(23,000 -2x) = 169,000
15x + 161,000 - 14x = 169,000
x + 161,000 = 169,000
x = 169,000 - 161,000
x = $8,000
y = 23,000 - 2x
y = 23,000 - 2(8,000)
= 23,000 - 16,000 = $7,000
So the last investment amount is x-3000 = 8,000 -3,000 = $5,000
Help please! I have to do this math test and I dont understand
Answer:
y=1x+1
Step-by-step explanation:
y=1x+1 gradient= 1 and y-intersept = 1
Two parallel lines are crossed by a transversal.
Parallel lines r and s are cut by transversal q. On line s where it intersects with line q, the uppercase left angle is 125 degrees and the bottom right angle is d degrees.
What is the value of d
Answer:
125
Step-by-step explanation:
Measure of d will be,
⇒ d = 125°
What is mean by Angle?An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Here, r and s are two parallel lines
And, q is the Transversal
Here, Uppercase left angle is 125 degrees
And, The bottom right angle is d degrees
We know that the sum of supplementary angles is 180°
Hence, By the figure, we get;
125 + x = 180
x = 180 - 125
x = 55°
Also we know that
Alternate interior angles are formed by a transversal intersecting two parallel lines . They are located between the two parallel lines but on opposite sides of the transversal, creating two pairs of alternate interior angles. Alternate interior angles are congruent, meaning they have equal measure.
So, Measure of d will also be,
d = 125°
Or,
d = 180 - 55
= 125°
Learn more about the angle visit:;
https://brainly.com/question/25716982
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please help urgent 8th grade math
Answer:
use your phone to scan the text on google
8) The sum of nine times a number and 13 is equal to seven times the number,
Answer:
-7.5=x
Step-by-step explanation:
9x+13=7x
13=-2x
-7.5=x
