Answer:
10 units
Step-by-step explanation:
In triangle DEF, m∠D = (4x + 15)°, m∠E = (5x + 32)°, and m∠F = 70°. Determine the degree measure of the exterior angle to ∠D.
137°
113°
67°
43°
The measure of the exterior angle to ∠D will be 137°.
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In triangle DEF,
m ∠D = (4x + 15)°, m ∠E = (5x + 32)°, and m ∠F = 70°
Now,
Sum of the measure of angle in a triangle is 180°.
So, We can formulate;
⇒ m ∠D + m ∠E + m ∠F = 180°
Substitute all the values, we get;
⇒ (4x + 15) + (5x + 32) + 70 = 180
⇒ 9x + 117 = 180
⇒ 9x = 180 - 117
⇒ 9x = 63
⇒ x = 7
Thus, We get;
m ∠D = (4x + 15)°
m ∠D = (4 x 7 + 15)°
m ∠D = (28 + 15)°
m ∠D = (43)°
And, m ∠E = (5x + 32)°
m ∠E = (5 x 7 + 32)°
m ∠E = (35 + 32)°
m ∠E = 67°
Since, The measure of the exterior angle to ∠D = m ∠E + m ∠F
= 67° + 70°
= 137°
Thus, The measure of the exterior angle to ∠D will be 137°.
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A bakery has 72 half gallons of milk.
It takes 1 2/3 cups of milk to make a cake. Note that 1 cup = 1/8 half gallon = 0.125 half gallon. How many cakes can the bakery make? Say 1,2,3,4 in your answer so that I know which option to choose. There’s no 346 option (a lot of people have been saying that answer.)
Answer:
345 :)
Step-by-step explanation:
Solve 0.5(−6 + 4d) − 2d = −11 for d.
Answer:
it's unavailable
Step-by-step explanation:
you have to solve the bracket first
after that u move -3 , when u move it becomes positive 3
but because 2d-2d so it equals to 0
therefore the answer is unavailable
What is the base 8 representation of the number 600? A.1130 B.1310 C.1301 D.1300
Answer:
A,
Step-by-step explanation:
0*1=0
3*8=24
1*64=64
1*512=512
600
[STATISTICS QUESTION]
The table shows some information about the lifetimes, t, in hours, of some lightbulbs.
The median of a set of data is the number in the middle when ordered from least to greatest, and when there are two, average them. The two numbers in the middle are 18 and 22, and the average of those numbers is 20.
Can someone please help?
Answer:
2^8 (simplified)
256 (evaluated)
Step-by-step explanation:
simplified part
(2^2)^4
= 2^2×4
=2^8
evaluated :
2^8 = 2×2×2×2×2×2×2×2 = 256
Answer:
2^8, 256
Step-by-step explanation:
(2^2)^4, 2*4=8, 2^8
2*2*2*2*2*2*2*2=256
heeeeelp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Can some one please help?
Answer:
1.). 2
2.) -10
3.) 3
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
It's A!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Write each of the following expressions as a power of two 4^-6 x 4^4 x (2^3 x 2^-4)^-1
the x is a multiplication sign
Answer:
Step-by-step explanation:
2^2(-6) * 2^2(4) * (2^3 * 2^-4)^-1
= 2^(-12) * 2^8 * (2^(-1))
= 2^(-4) * 2
= 2^(-3) or 2 power (-3).
as a fraction : 1/8
help me on this question asap #5
Answer:
C) 112
Step-by-step explanation:
help me, please :)))
Answer:
The lengths of AB and EF are 10 and 2 respectively
Step-by-step explanation:
The lengths of AB and EF are 10 and 2 respectively
If the triangle ABC and DEF are similar, based on the similarity theorem of a triangle;
AB/DE = BC/EF
5x/4 = 5/x
5x² = 20
x² = 20/5
x² = 4
x = 2
Since the value of x is 2, length of AB is 5x = 5(2) = 10
Since EF = x, hence EF = 2
The lengths of AB and EF are 10 and 2 respectively
please help me with this question<
Answer:
He had 25.3 mL of cleaner on Thursday.
Step-by-step explanation:
64.2 - 5.8 on Monday = 58.4
58.4 divided by 2 on Tuesday = 29.2
29.2 - 3.9 on Wednesday = 25.3
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Helppppppppppppppppppppppppppppppppppp AHHHHH
The blueprint of a house shows the house as 7.5 inches tall and 11.75 inches wide.
How tall is the house in real life?
Answer:
7 ft tall
Step-by-step explanation:
7ft tall and 5 inches
It's the image that's attached
Answer:
it has infinitely solution's
I need help fast!!!! What is the percent difference between $4.39 and $4.28?
Answer:
2.5%
Step-by-step explanation:
[tex]100 -( ( \frac{4.28}{4. 39} ) \times 100)[/tex]
which equals 2.5% difference
Answer:
2.57%
Step-by-step explanation:
What is the percent difference between $4.39 and $4.28?
$4.39 - $4.28 = 0.11
(0.11/$4.28) * 100 = 2.57%
What is the relationship between the figure number in the number of stars in the figure represents the relationship in as many ways as possible.
Answer:
It is the the figure numbers squared and then +1 added to it.
So Fig. 1 is 1^2 +1 = 2
Fig 2 is 2^2 +1
Fig 3 is 3^2 + 1
...and so on...
Please give an answer and explanation in order to not get reported.
Answer:
8
Step-by-step explanation:
subtract 816 from 3500 which is 2684 (816 is a one time fee)
add 125, 100, and 95 to get 320 because those would be daily.
the divide 2684 by 320 to get 8(rounded)
Determine which integer will make the inequality x − 5 > 12 true.
S:{17}
S:{18}
S:{12}
S:{16}
Answer: S:{18}
Step-by-step explanation:
All you need to do is subtract all of them until you get an answer greater than 12.
Determine which integers in the set S: {−2, −3, −4, −5} will make the inequality 2p − 8 < 5p + 4 true.
S:{−2, −3}
S:{−3, −4}
S:{−4, −5}
S:{−2, −5}
Please Help me right now!!
Answer:
The second one
Step-by-step explanation:
Easy
Answer:
B
Step-by-step explanation:
write each of the following expressions as a power of two (4x2^5)\(2^3x1/16)
P.S. the x is a multiplication sign not a variable
Answer:
Step-by-step explanation:
Rewrite as : (2^2 * 2^5) / (2^3 * 2^4)
= 2^7 / 2^(-1)
Note: Based on exponent rules you do 2 power 7 minus, minus seven. And 2 minus is a positive. So you do 2 power seven plus 2 power 1. That is 2 power 8.
= 2^8
Of the cars in a used-car lot, 23 are less than 3 years old. 13 of the cars on the lot are both less than 3 years old and also get at least 30 miles to the gallon. What fraction of the cars that are less than 3 years old also get 30 miles to the gallon?
The fraction of the cars that are less than 3 years old also get 30 miles to the gallon is 13/30.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Of the cars in a used-car lot, 23 are less than 3 years old and 13 of the cars on the lot are both less than 3 years old and also get at least 30 miles to the gallon.
Therefore, The fraction of cars that are less than 3 years old also get 30 miles to the gallon is simply 13/23.
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help me please ill give the crown again
Answer:
x = 10
Step-by-step explanation:
[tex] \frac{4}{x} = \frac{10}{25} [/tex]
[tex]10x = 100[/tex]
[tex]x = 10[/tex]
Answer: it’s x = 10
Step-by-step explanation:
Please help ASAP and please explain how you did it!! Thanks♡♡!
Answer: 75%
Step-by-step explanation: We know that 4/4 is 1 or 4 quarters = 1 dollar.
What do we have if we only have 3 quarters? 75 cents
75 cents is 75% of a dollar!
Hey there!
3/4
= 3 ÷ 4
= 0.75
0.75 × 100
= 75%
Therefore, your answer should be:
75%
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Describe the graph of g(x)=f(x)+k compared to the graph of f(x).
Choose the correct answer below.
A. The graph of g(x)=f(x)+k would be shifted k units down.
B. The graph of g(x)=f(x)+k would be shifted k units to the right.
C. The graph of g(x)=f(x)+k would be shifted k units to the left.
D. The graph of g(x)=f(x)+k would be shifted k units up.
I will give brainliest to the best answer btw
Solve:
3x + 3x - 2x = 12
Group of answer choices
X = -8
X = 8
X = 3
X = -3
Answer:
X= 3
Step-by-step explanation:
3x+3x+(-2x)=12
3x+3x=6x
6x+(-2x)
4x=12
4x/4x
12/4
x=3
Need answer as soon as possible, emergency please be 100% sure thank you
please help me out with this problem, i'd really appreciate it
Answer:
Step-by-step explanation:
let amount of nickels = y
then amount of quarters = 12-y
let amount of dimes = 2y
according to given condition,
Total amount = y+12-y+2y
we will +y and -y because of different signs,(+,- = -).
10.60 = 12+2y
12-10.60 = 2y
2.60=2y
using / as division sign,
y=2.60/2
y = 1.30
amount of quarters = 1.30
amount of nickels = 12-y
= 12-1.30
= 10.70
amount of dimes = 2y
=2(1.30)
=2.60
What form represents the following in equation? 4x + 3y = 7
Answer:
both x and y equal 1
Step-by-step explanation: