Answer:
The measures of the acute angles are 38 and 52 degrees.
Step-by-step explanation:
In a right triangle, there are three angles, a right angle and two acute angles. In every traingle, the sum of the measures of the angles is 180 degrees. Let's call the acute angles [tex]a[/tex] and [tex]b[/tex].
[tex]a + b +90 = 180[/tex]
The problem also says that one angle is twice the difference of the other angle and 12. That would look like this:
[tex]a = 2(b-12)[/tex]
Now we have two equations. If we simplify them, we get these:
[tex]\left \{ {{a=90-b} \atop {a=2b-24}} \right.[/tex]
Now you can substitute [tex]a[/tex] in the first equation for [tex]a[/tex] in the second equation
[tex]90-b=2b-24[/tex]
Add [tex]b[/tex] to both sides of the equation
[tex]90 = 3b-24[/tex]
Add [tex]24[/tex] to both sides
[tex]114 = 3b[/tex]
Divide both sides by 3
[tex]38 = b[/tex]
Now, you can substitute [tex]38[/tex] for [tex]b[/tex] in the first equation and simplify.
[tex]a = 90-38[/tex]
[tex]a=52[/tex]
Therefore,
[tex]a=52[/tex], and [tex]b=38[/tex]
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The value of the angles are 38° and 52° respectively
Let the acute angles be represented by a and b.
Based in the information given,
a = 2(b - 12)
a = 2b - 24.
Note that the angle in an acute angle equals to 90°.
Therefore,
a = 90 - b.
a = 2b - 24
Equate the equations together
90 - b = 2b - 24
2b + b = 90 + 24
3b = 114
b = 114/3
b = 38
Therefore, a will be:
= 90° - 38° = 52°
The value of the angles are 38° and 52° respectively.
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is the correct pls help me!! I will mark you!!!
Answer:
-10 3
-9 4
-8 5
-3 10
Step-by-step explanation:
.........
Answer:
this it the answer i think
Step-by-step explanation:
as you can see in the picture below, i graphed the points and this is the function. i hope this helped!
Write and solve a real world problem involving a situation that can be represented by the
sequence f(n) = 15 + 2(n-1). |
Answer:
f(n)=2n + 13
.................................
Geometry... Please help and I'll mark brainliest. Triangle proofs & reasons. Thank you
Answer:
According to SSS (side, side, side)
Step-by-step explanation:
Hope it helps...
....
Find x
X=
Can someone pls help
Answer:
x=10
Step-by-step explanation:
3x+10=6x-20 Set the angles equal to each other b/c they are alt. int. angles.
-3x -3x Subtract by 3x on both sides to get x by itself
----------------
+10 =3x-20
+20 +20 Add 20 to both sides to get x by itself
---------------------
30 =3x
/3 /3 Divide both sides by 3 to get x by itself
-------------
10 =x
x=10 Write x first.
What is 3/16= c-7/8 please answer
Answer:
c=17/16
Step-by-step explanation:
3/16=c-7/8
find the common denominator
3/16=c-14/16
add 14/16 on both sides to cancel
c=17/16
Answer:
c= 17/16
Step-by-step explanation:
move 7/8 to the right so cancel it out by adding which would add with 3/16 giving 17/16 = c
A company sells widgets. The amount of profit,y, made by the company is related to the selling price of each widgets,x, by the given equation. Using this equation, find out the maximum of profit the company can make, to the nearest dollar. Y=-x^2+64x-292
Answer:
The maximum amount of profit is 32
Step-by-step explanation:
Given
[tex]y=-x^2+64x-292[/tex]
Required
Calculate the maximum amount of profit
A quadratic function is of the form
[tex]y = ax^2 + bx + c[/tex]
and its maximum, y_max is calculated using:
[tex]y_{max} = \frac{-b}{2a}[/tex]
So for [tex]y=-x^2+64x-292[/tex]
By comparison with [tex]y = ax^2 + bx + c[/tex]
We have that:
[tex]a = -1[/tex] [tex]b = 64[/tex] and [tex]c = -292[/tex]
[tex]y_{max} = \frac{-64}{2*-1}[/tex]
[tex]y_{max} = \frac{-64}{-2}[/tex]
[tex]y_{max} = 32[/tex]
Hence, the maximum amount of profit is 32
The Perimeter of a Pentagon is 20.5 centimeters. Four sides of this pentagon have the same length, in centimeters, x, and the other side has a length of 2.1 centimeters, as shown below. What is the value of x?
Answer:
[tex]4.6\ \text{cm}[/tex]
Step-by-step explanation:
Perimeter of the pentagon = 20.5 cm
Length of 4 sides = [tex]x[/tex]
Length of the other side = 2.1 cm
Perimeter of the pentagon will be
[tex]x+x+x+x+2.1=20.5\\\Rightarrow 4x+2.1=20.5\\\Rightarrow 4x=20.5-2.1\\\Rightarrow 4x=18.4\\\Rightarrow x=\dfrac{18.4}{4}\\\Rightarrow x=4.6\ \text{cm}[/tex]
The value of [tex]x[/tex] is [tex]4.6\ \text{cm}[/tex].
Please answer this ASAP
Add these mixed numbers please
-2 ½ + 6 ⅓ =
Answer:
9.833333
Step-by-step explanation:
best buy marks upnearbuds 60%. the wholesale price is $8. whats the selling price
Answer:
7
Step-by-step explanation:
Answer:
what does a school shooter and a light bulb have income they both know how to light up a room?
Step-by-step explanation:
lets be frineds :))))
Answer:
thanks :)
Step-by-step explanation:
Beth plays a video game in which she starts with 0 points. In round 1, she losses 31/2 points in round 2, she wins 281/2 points ,and in round 3, she losses another 3 1/2 points .What is her final score?
Answer:
[tex]21\frac{1}{2} \ or\ 21.5[/tex]
Step-by-step explanation:
Given that:
Initial score of Beth = 0
Round 1 scores:
Points lost = [tex]3\frac{1}{2} = 3.5[/tex]
Round 2 scores:
Points won = [tex]28\frac{1}{2}=28.5[/tex]
Round 3 scores:
Points lost = [tex]3\frac{1}{2} = 3.5[/tex]
To find:
The final score of Beth in the video game = ?
Solution:
Let us calculate the total points lost and total points won by Beth in the video game.
Then we will subtract the total points lost from the total points won to find the final score in the video game.
Total points won = 28.5
Total points lost = 3.5 + 3.5 = 7
So, final score = Total points won - Total points lost
Final score = 28.5 - 7 = 21.5 or [tex]\bold{21\frac{1}{2}}[/tex]
what is greater than 1/2 what fractions are greater than 1/2
Answer:
3/4
Step-by-step explanation:
3/4 is one example of a fraction that is greater than 1/2. If 1/2 become 2/4, therefore 3/4 is a fraction which is greater than 1/2.
A girl's hair is 12 3/8 inches long, if she has 2 1/2 inches cut off, how long will her hair
be
Answer:
10 2/6
Step-by-step explanation:
Answer:
9 7/8
Step-by-step explanation:
12 3/8-2 1/2=
because she is cutting it off u have to subtract
How do you undo x - 5?
Answer:
x+5 or the full expression: x-5+5
Step-by-step explanation:
Help ? Someone ? , thank you
Answer:
d
Step-by-step explanation:
it's the morning im tiered so go with this my mind is hazy it's d
Answer:
C. x=30
Step-by-step explanation:
Simply both sides of the equation
8x−3(2x−4)=3(x−6)
8x+(−3)(2x)+(−3)(−4)=(3)(x)+(3)(−6)(Distribute)
8x+−6x+12=3x+−18
(8x+−6x)+(12)=3x−18(Combine Like Terms)
2x+12=3x−18
2x+12=3x−18
Step 2: Subtract 3x from both sides.
2x+12−3x=3x−18−3x
−x+12=−18
Step 3: Subtract 12 from both sides.
−x+12−12=−18−12
−x=−30
Step 4: Divide both sides by -1.
[tex]\frac{-x}{-1} =\frac{-30}{-1}[/tex]
x=30
Hope this helps!
591,000 in scientific notation
helppp i don’t know how to find where the lines will intercept
Answer:
(-5,10)
Step-by-step explanation:
You need to do this by finding a point where it is a solution to both equations. You can do this by using systems of equations.
y=25+3x
y=-5-3x
subtracting, you get 0=30+6x
simply, -30=6x, x=-5.
you're half way done! now plug in x in one of the equations to get the y value.
-5*3+25 = y = 10
can someone please help me
Answer:
thats easy just.......
Step-by-step explanation:
A sailboat begins a voyage with 145 lb of food. The
crew plans to eat a total of 15 lb of food per day. The crew plans to have 25 lb
of food remaining when they end their voyage. How many days does the crew
expect their voyage to last?
Answer:
The crew expects their voyage to last 8 days.
Step-by-step explanation:
There are initially 145 lb of food in the sailboat.
The crew plans to eat 15 lb of food per day, and they want to leave 25 lb of food remaining when they end the voyage.
The amount of food to eat during the voyage is 145 - 25 = 120 lb.
Since the daily consumption of food is 15 lb, there is enough food for 120/15 = 8 days.
The crew expects their voyage to last 8 days.
5x5^2=
2^3=
2^8=
27^4=
Answer:
1. 125
2. 8
3. 256
4. 531441
Answer:
1. 125
2. 8
3. 256
4. 531441
Step-by-step explanation:
(4e)⁴ ÷ 2e²
(4f)⁴ ÷ (2f)²
Answer:
4e and 4f
Step-by-step explanation:
1: 4*4*e=16e 2*2*e= 4e 16e/4e=4e
2: 4*4*f=16f 2*2*f=4f 16f/4f=4f
I haven't learned about this yet but I do know a little, hopefully this was correct and helps you out! :) Have a good evening!
What’s the slope ofY=3x+4
Answer:
3
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 3x + 4
Step 2: Break Function
Identify Parts
Slope m = 3
y-intercept b = 4
3. Events A and B are independent. If P(A) = 0.3 and P(B) = 0.4 what is P(A and B)?
a. 0.12
b. 0.3
c. 0.7
d. 0.75
Answer:
Step-by-step explanation:
it depends on if you are adding A and B it would be P= 0.7 and if you are multiplying it would be P= 0.12
Alejandro went out to eat dinner, and the meal cost $70.00. If Alejandro received a 24% discount, what was the total value of the discount?
Answer:
16.8
Step-by-step explanation:
Are the triangles congruent, if so by what theorem/postulate
Yes, SSS
PR are already a given side. PS and PQ are also given sides. Lastly, RS and RQ are given sides.
4. What İs the recursive formula for the sequence?
-14, -8, -2, 4, 10, ...
Answer:
a recursive definition for your sequence is
adding (6) to each one of the digits
Step-by-step explanation:
I NEED HELP ASAPPPP IM TIMED PLS AND THANKS :)
Answer:
YAH WELL I WONT HELP YOU
" GET SMART DUMMY" LOLTHATS WHAT YOU SIAD TO ME :)
Step-by-step explanation:
Find the sale price of an item if the original price was $46 and the discount was 25% off
Sale price $ ?
Answer:
34.50
Step-by-step explanation:
46.00×0.25=11.50. 46.00-11.50=34.50
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
9514 1404 393
Answer:
f(x) = (x -25)/(5x -5)x ≠ 1Step-by-step explanation:
To find f(x), you can replace x in the given function with (x/5).
f(5(x/5)) = (x/5 -5)/(5(x/5) -1)
f(x) = (x/5 -5)/(x -1)
f(x) = (x -25)/(5(x -1))
f(x) = (x -25)/(5x -5)
The only domain restriction is that x cannot make the denominator zero:
x cannot be 1. (The domain is all real numbers except 1.)
Please look at photo and help me I will mark who ever is first
Answer:
a = 9
Step-by-step explanation:
you can simplify the proportion to:
[tex]\frac{a}{24} =\frac{3}{8}[/tex]
use cross- multiplication
8a = 72
a = 9
