Answer: Measure of angle E = 45°
Measure of angle D = 45°+5° = 50°
Measure of angle F = 85°
Step-by-step explanation:
Let the measure of angle E be x. ( in degrees)
Then Measure of angle D = x+5
Also, Angle D + Angle E = Angle F +10
[tex]\Rightarrow\ x+5+x =\text{Angle F}+10\\\\\Rightarrow\ \text{Angle F} = 2x+5-10\\\\\Rightarrow\ \text{Angle F} = 2x-5[/tex]
Since DEF is a triangle, so the sum of their angles should equal to 180 degrees.
[tex]\Rightarrow\ x+x+5+2x-5=180\\\\\Rightarrow\ 4x=180\\\\\Rightarrow\ x=45[/tex]
Measure of angle E = 45°
Measure of angle D = 45°+5° = 50°
Measure of angle F = (2(45)-5)° = (90-5)° = 85°
Lucy’s ranch has 1,718 acres and Paul’s ranch has 2,484 acres. What is the difference in size between the two ranches
Answer:
766 acres is the difference.
Step-by-step explanation:
2,484 minus 1,718 equals 766 acres.
hope this helped!
:)
Answer:
ranch has a ton of calories
Step-by-step explanation:
Find the difference
Phillipe says he cannot simplify the expression 5^c • 2^c. Complete the statement about Phillipe's claim.
Answer:
Step-by-step explanation:
[tex]a^{m} * b^{m}[/tex] = [tex](ab)^{m}[/tex]
Yes, he can!!
[tex]5^{c} * 2^{c} = (2 * 5 )^{c}[/tex] = [tex]10^{c}[/tex]
For example,
2³ × 3³ = 8 × 27 = 216
6³ = 216
The expression can not be simplified as it do not have same base, and can be written as [tex]10^c[/tex]
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, Phillips says he cannot simplify the expression [tex]5^c.2^c[/tex]
She can not simplify the expression because the bases of the expression are not same, and this expression is same as
[tex]5^c.2^c\\\\= (5.2)^2\\\\=10^c[/tex]
Hence, the expression can not be simplified as it do not have same base, and can be written as [tex]10^c[/tex]
Learn more about expressions, click;
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Explain why arctan(1) = 45° or π/4.
Answer:
Explanation below
Step-by-step explanation:
Inverse Trigonometric Functions
They are defined as the inverse of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant.
The corresponding inverse functions are called arcsin, arccos, arctan, arccot, arcsec, arccsc.
These inverse functions in trigonometry are used to get the angle with any of the trigonometry ratios.
For example,
[tex]\displayystyle \sin 30^\circ=\frac{1}{2}[/tex]
Then:
[tex]\displaystyle arcsin \frac{1}{2}=30^\circ[/tex]
Since:
[tex]\tan 45^\circ=1[/tex]
Or, equivalently:
[tex]\displaystyle \tan \frac{\pi}{4}=1[/tex]
Then:
[tex]\displaystyle arctan(1)=45^\circ[/tex]
Or:
[tex]\displaystyle arctan(1)=\frac{\pi}{4}[/tex]
k(x)=6x-12; k(x)=18
please help idk what the answer is
Answer:
96 IS THE AOUNSER
Step-by-step explanation:
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?
Answer:
Yes because they both only have one zero so the discriminant for both is 0
Step-by-step explanation:
explanation above lol
The two functions have the same discriminant b² - 4a = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.
Now, From the graph the discriminant and properties here,
D = 0 as the vertex of the parabola intersect only at one point.
b² - 4ac = 0.
The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).
So, they have the same discriminant.
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Midpoint (24,-20), endpoint (16,-17)
Answer:
Endpoint = (32,-23)
Step-by-step explanation:
end point = (16,-17)
midpoint = 24,-20)
other point = (x,y)
(x + 16)/2 = 24
x + 16 = 24 * 2
x + 16 = 48
x + 16-16 = 48-16
x = 32
======================
(y - 17/2 = - 20
y - 17 = - 20 * 2
y - 17 = - 40
y - 17+17 = - 40 + 17
y = - 23
Can someone help me with this math problem
Answer:
$14.00 per pound for A and $12.50 per pound for B and B is offering the better one since it has a lower cost per pound
Step-by-step explanation:
Answer:
Brand A is $14
Brand B is $12.5
Brand B is offering the better value. I know this because when you get the unit rate for Brand A it is $14. When you get the unit rate for Brand B you get $12.5. So You pay less money for Brand B then Brand A.
Step-by-step explanation:
For brand A you need to first divide 70 by 5 which equals to 14
Then you divide 105 by 12 which equals 12.5
The Last problem i gave to you in the answer box.
Hopefully you understood everything.
Have a good day
Find f(-1) if f(x) = -3x – 5.
Answer:
f(-1) = -2
Step-by-step explanation:
Just plug in -1 for x
f(-1) = -3(-1) - 5 = 3 - 5 = -2
Answer:
-2
Step-by-step explanation:
The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
What is 78/100 in standard form
Answer:
0.78 x 10^ 0
Step-by-step explanation:
What is the measure of angle y?
I need help I’m being timed plz
Answer:
y=2, angle c=55, line AB is 2, line BC, is 2 angle X is 35. also fun fact that test is messed up because X is the angle not Y so either you may want to tell someone about that.
Step-by-step explanation:
Which of the following shows the graph of y = 1/2x + 3?
Answer:
See the attached file
Step-by-step explanation:
Your graph should pass the y axis at 3, this is because b is your y
and in y = mx + b the b is 3 in y = 1/2x + 3.
From that point of (0, 3) the correct graph rises by one and goes to the right 2
In order to find a constant rate of change, the function must be linear.
True or False?
Marco is discussing how prices have changed with his son, Paul. Paul does not believe him, so they decide to research the price of their favorite food items. Use the information below to determine the percent change in the question below. Round your answers to nearest tenths place.
What is the percent of change in the cost of a hot dog? il mark you brainly
Answer:
devide them by each other and then when it is deamal form put it in %
:)
Step-by-step explanation:
Brainliest plz
Answer:
Cost of the Pizza is 20%
Cost of the Cheeseburger is 30%
Cost of the Fries is 125%
Step-by-step explanation:
use the graph to find the possible value for X such that f(x) =10
A).10
B).15
C).20
D).40
Answer:
15 is right ans
Step-by-step explanation:
Find the area of the given triangle. 16 5. 20
Answer: 160 m^2.
Step-by-step explanation:
Daily snowfall in Omaha in January
Mode, median or mean?
Answer:
mean but im guessing as well
Step-by-step explanation:
How many solutions will an equation have, if you take the square root?
Here please do this. 25 pts
Answer:
the correct answer is A
The number of items, n, a shopper can have in the
express check-out lane is at most 8. Write this as an
inequality.
Answer: n < 8
Step-by-step explanation:
REALLY APPRECIATE YOUR HELP
Given log x = 3 and log y = 2, prove that x^2 -7xy =3000y
Answer:
[tex]if \: log(x ) = 3 \\ log_{10}(x) = 3 \\ {10}^{3} = x \\ therfore \to \: \boxed{x = {10}^{3} } \\ \\ if \: log(y ) = 2 \\ log_{10}(y) = 2 \\ {10}^{2} = y \\ therfore \to \: \boxed{y= {10}^{2} }[/tex]
Step-by-step explanation:
[tex]x^2 -7xy =3000y \: then \to \\ x^2 =3000y + 7xy \\ {(10 ^{3} )}^{2} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{3} \times {10}^{2}) \\ {10}^{6} = 3000(10)^{2} + 7( {10}^{5} ) \\ {10}^{6} = 300000 + 700000 \\ \boxed{{10}^{6} = 1000000} \\ hence \: the \: equation \to \: x^2 -7xy =3000y \\ \boxed{ is \: corret}[/tex]
♨Rage♨
Write a integer for the situation a deposit of $145.50
Helpppp fast pleaseeeee
HELP PLEASE 25 POINTS
1. Use the Pythagorean theorem to find AD.
2. Find AC. Show your work.
3. Is ΔABC a right triangle? Explain.
Answer:
It is only 13
Step-by-step explanation:
Brainly takes away half points by the way
Answer:
AD=√AB^2-BD^2=√10^2-8^2=√36=6
DC=√BC^2-BD^2=√17^2-8^2=√225=15
AC=AD+DC=21
Step-by-step explanation:
What equation in slope intercept form represents the line that passes through the two points?
(4, 5), (6, 0)
Four balls of wool will make 8 knitted hats. How many balls of wool will Janet need to make 6 hats?
the number 4,304 in word from
Answer:
four thousand three hundred and four
Step-by-step explanation:
Answer:
Four thousand three hundred and four
If this was helpful, please mark brainliest. Have a beautiful day!
The cities shown on the map lie approximately in a straight line. Find the distance from Pittsburgh, Pennsylvania, to Columbus, Ohio
Answer: 188 miles
Step-by-step explanation:
Find m∠ABC.
24°
58°
19°
37°
Answer:
3x-14=2x+10
add 14 to both sides
3x-14+14=2x+10+14
3x=2x+24
subtract 2x from both sides
3x-2x=2x+24-2x
x=24
Plug x into the equations
3(24)-14=58
2(24)+10=58
they are the same angle
B=122
58-180=122
116-360=244
244/2=122
I hope this is good enough:
Answer:
X=24
Step-by-step:
3x-14=2x+10
add 14 to both sides
3x-14+14=2x+10+14
3x=2x+24
subtract 2x from both sides
3x-2x=2x+24-2x
=24 deg
