Answer:
[tex]\angle 1=39\textdegree[/tex]
Step-by-step explanation:
Remember that the sum of the interior angles of a triangle always equal 180. Therefore:
[tex]\angle 1+\angle Y+102=180[/tex]
Let's subtract 102 from both sides. This yields:
[tex]\angle 1+\angle Y=78[/tex]
Now, notice the that both ∠1 and ∠Y have exactly one arc mark.
Arc-marks denote congruence. Therefore, ∠1 and ∠Y are congruent to each other. In other words:
[tex]\angle 1=\angle Y[/tex]
So, we can substitute ∠Y for ∠1 for our equation. This yields:
[tex]\angle 1+\angle 1=78[/tex]
Combine like terms:
[tex]2\angle 1=78[/tex]
Divide both sides by 2. So, the measure of our angle is:
[tex]\angle 1=39\textdegree[/tex]
And we're done!
Create YOUR OWN Algebraic expression, then write the expression in words.
Answer:
Step-by-step explanation:
his salary S is raised by 300 dollars
Algebraic expression
s+120
pls try to answer my question
i have to do it as soon as possible
PLEASE HELP ASAP
Which expressions are equivalent to 25x4 −64? Select three options. 25x4 + 40x − 40x − 64 25x4 + 13x − 13x − 64 (5x2 + 8)(5x2 − 8) (x2 + 13)(x2 – 13) (5x2 – 8)2
The equivalent expression of 25 - 64 are "a), b) and c)"
The given expression is:
25 - 64
To find, the equivalent expressions are:
a) 25 + 40x - 40x - 64
= 25 - 64, is the equivalent expression.
b) 25 + 13x - 13x - 64
= 25 - 64, is the equivalent expression.
c) (5 + 8)(5 - 8)
Using the algebraic identity,
(a + b)(a - b) =
=
= 25 - 64, is the equivalent expression.
d) ( + 13)( - 13)
Using the algebraic identity,
(a + b)(a - b) =
=
= - 169, is not a equivalent expression.
e)
Using the algebraic identity,
, is not a equivalent expression.
∴ The equivalent expression of 25 - 64 are "a), b) and c)".
Answer: option A, B, C are equivalent to [tex]25x^4-64[/tex].
We check each option by simplifying:
A) [tex]25x^4 + 40x - 40x - 64 = 25x^4-64[/tex].
B) [tex]25x^4 + 13x - 13x - 64 = 25x^4-64[/tex]
C) [tex](5x^2 + 8)(5x^2 - 8)=(5x^2)^2-8^2=25x^4-64[/tex]
D) [tex](x^2 + 13)(x^2 - 13)=(x^2)^2-13^2=x^4-169[/tex]
E) [tex](5x^2 - 8)^2=(5x^2)^2-2(5x^2)(8)+8^2=25x^4-80x^2+64[/tex].
So option A, B, C are equivalent to [tex]25x^4-64[/tex].
Learn more: https://brainly.com/question/1214333
Which inequality is represented by this graph?
Find the value of y-10 given that -5y-6=9.
Answer:
-13
Step-by-step explanation:
-5y = 9 + 6
y = 15 / -5
y = -3
Now;
y - 10 = -3 - 10 = - 13
Nathan usually drinks 32 ounces of water per day. He read that he should drink 56 ounces of water per
day. If he starts drinking 56 ounces, what is the percent increase? Round to the nearest percent.
Answer:
20
Step-by-step explanation: you have to find the amount of change then determine the percent of increase and round it to the nearest percent
32 -56=24 then round to the nearest number you get 20
Please helpppp thank y’all
Answer:
105
Step-by-step explanation:
since its a straight line it would add up to 180 degrees so 52 + 23 + 75 and you need 180 so 180-75 which gives 105 which is the missing angle
Answer:
105 degrees
Step-by-step explanation:
First add the angles that you already know, 52 + 23 = 75, then since we know that the whole thing is a straight angle (180 degrees) 180-75 = 105 degrees.
Hope this helped!
3 bananas cost $0.99. At this rate, how much do 5 bananas cost?
Answer:
1.65
Step-by-step explanation:
0.99/3 = .33
.33 x 5 = $1.65
Answer:
Five bananas will cost $1.65
Solve the equation for the given variable.
5- 3x = 4
Answer:
x=1/3
Step-by-step explanation:
5-3x=4
or,5-4=3x
or,1=3x
x=1/3
− 3 − {3 − [ − 3(2 +4) − ( − 2)]}
Evaluate the left hand side to find the value of a in the equation in simplest form.
is this true the square root of a positive number is always less than the half of the number itself
Step-by-step explanation:
yes ........................................ ..
What is the opposite integer of 53
-53
The opposite of 53 is -53
A team of painters is painting all the homes in a new neighborhood. So far, they have painted
3
4
of a house in 4 days. At what rate are they painting?
Answer:
3/16
Step-by-step explanation:
Use the distributive property to simplity 3 (4x + 8).
7x+8
7x + 24
12x + 8
12x + 24
Answer:
d) 12x + 24
Step-by-step explanation:
1/2 divided by 6
Could you help me
Answer:
Well for some reason my computer will not allow me to see the first half, but if the question you're asking is just ''1/2 divided by 6'' then I can help!
Step-by-step explanation:
1/2 is equal to .5 so to divide .5 times 6 that would get you .083 (3 repeating).
Hope this helps, and again , my apologies for my computer not showing the first two numbers or emojis
The equation below represents a situation.
13 – 14x = 38x
Which word problem could the equation represent?
A.) A jar contains 13 dollars worth of one kind of coin. Clara took 14 coins out of the jar. Now, there are 38 coins remaining. What is the value of one of the coins in the jar?
B.) A box contains 38 muffins. Nate sells 14 muffins and makes 13 dollars. How much did Nate charge per muffin?
C.) Over 13 days, Gretchen withdrew 14 dollars from her bank account and deposited 38 dollars. On average, how much money did she deposit each day?
D.) Matthew has 38 pages to read in his textbook, but 14 of the pages are ripped out. It took him 13 minutes to read the pages. How long did he spend on each page?
Answer:
it is C
Step-by-step explanation:
Maybe
I am not really good at math
Jim received notice from his employer that the equation to calculate his salary was changing. Currently he makes $300 per week plus 4% commission on sales. The new equation will be $450 plus 2% commission on sales. Which equation shows the amount in sales he will need for his salary to be the same?
Answer:
Sales= $750Step-by-step explanation:
let sale be x
and his salary be y
y=300+0.4x----------1 the old equation
y=450+0.2x----------2 the new equation
for his salary to be the same
equation 1 and 2 must be equal hence
300+0.4x=450+0.2x
solving for x we have
300-450+0.4x-0.2x=0
-150+0.2x=0
0.2x=150
x=150/0.2
x=$750
Help needed ASAP will give you BRAINLIEST and 5 stars rate
Answer:
Vehicle A with 25 mpg
Step-by-step explanation:
You get the slope.
Answer:
D. Is the correct answer.
Step-by-step explanation:
I had this one too.
Line m passes through points (2,-5) and (4,-3). Line n passes through points (-4,-8) and (-6,-6). Are lined m and n perpendicular? Explain?
A. Yes, the lines are perpendicular because the product of their slopes does not equal -1.
B. Yes, the lines are perpendicular because the product of their slips equals -1.
C. No the lines are not perpendicular because the product of there slopes equals -1.
D. No the lines are not perpendicular because the product of their slopes does not equal -1
If 16 of 200 apples were bad, what percent is that?
A
8%
B
10%
C
12%
D
16%
Answer:
:)
Step-by-step explanation:
It's 8 percent! Mark brainliest pls
Evaluate the expression 3x - 2(y + 3) for x = 4 and y = 7
Answer:
-8
Step-by-step explanation:
3x4= 12, 7+3=10x2=20
12-20= -8
Answer:
The value of the expression is -8
Step-by-step explanation:
Numerical value of expressions
We are given the expression:
3x - 2(y + 3)
Let's find its value for x = 4 and y = 7.
Substituting both values into the expression:
3*4 - 2(7 + 3)
Operating:
12 - 2(10)
12-20
-8
The value of the expression is -8
Simplify
-(6x – 12) - (-20) – 7x
Please help me thanks
Answer:
−(6x−12)−(−20)−7x
Distribute:
=−6x+12+20+−7x
Combine Like Terms:
=−6x+12+20+−7x
=(−6x+−7x)+(12+20)
=−13x+32
Answer:
=−13x+32
Expand and smiplify(3m + 3)²
(I just need an explanation of how to do this cause I’m not sure) find an expression for the area of these shapes
can someone help me figure out how to do unit cube finding volume please?
Answer:
the Volume of a cube Given the length of one side, call it the volume of a cube can be found by using the following formula: Volume of any cube = a 3 = a × a × a Examples showing how to find the volume of a cube.
Step-by-step explanation:
whats {(5-8)+5}+10/2-20/5
Answer:
{(5-8)+5}+10/2-20/5= 3
Step-by-step explanation:
{(5-8)+5}+10/2-20/5
PEMDAS
Parentheses first
5-8 = -3
( -3 + 5 ) + 10/2 - 20/5
-3 + 5 = 2
2 + 10/2 - 20/5
10/2 = 5
2 + 5 - 20/5
2 + 5 = 7
20/5 = 4
7 - 4 = 3
What is mass if force is 45 N and acceleration is 39 m/s/s?
Answer:
The answer is 1.15 kgStep-by-step explanation:
To find the mass of an object given it's acceleration and the force acting on it we use the formula
[tex]mass = \frac{force}{acceleration} \\ [/tex]
From the question
force = 45 N
acceleration = 39 m/s²
We have
[tex]force = \frac{45}{39} = \frac{15}{13} \\ = 1.153846...[/tex]
We have the final answer as
1.15 kgHope this helps you
What part of an equation represents the constant rate of change?
Answer:
equation written in the form Ax + By = C where A and B are coefficients and C is the constant. assigns each input value, one output value. rate that describes how one quantity changes in relation to another quantity. rate of change between any two quantities is the same, or constant.
Step-by-step explanation:
The Slope of the equation represents the constant rate of change.
For example: in the equation [tex]y=3x+9[/tex] [tex]3[/tex] is the slope
In what form is an equation that relates two proportional quantities x and y?
Oy=k+x, where k is the constant of proportionality
O y = kx, where k is the constant of proportionality
k
where k is the constant of proportionality
O y
y=
k
where y is the constant of proportionality
Answer:
B. [tex] y = kx [/tex] , where k is the constant of proportionality.
Step-by-step explanation:
Given that quantity x and y is directly proportional to each other, which means as one variable increases, the other increases as well. Thus, the constant of proportionality, which is often denotes with the alphabet k, can be represented by the following equation:
[tex] y = kx [/tex] , where, k is the constant of proportionality.
Constant of proportionality, k, is gotten when you divide the value of y by the value of x.
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