Step-by-step explanation:
officially, complementary angles complete each other to a total sum of 90 degrees.
supplementary angles complete each other to a total sum of 180 degrees.
angle 1 = 19× angle 2
90 = angle 1 + angle 2 = 19×angle 2 + angle 2 = 20×angle 2
angle 2 = 90/20 = 9/2 = 4.5 degrees.
angle 1 = 19×4.5 = 85.5 degrees.
and so, it seems to me, your teachers made a severe definition mistake and aimed for 180 degrees instead of the correct 90 degrees.
in that case, everything doubles.
angle 2 = 9 degrees
angle 1 = 171 degrees
If measure of an angle is 19-times measure of its complementary-angle, then measure of one angle is 85.5° and other is 4.5°.
Let us denote the measure of the angle as = "x" degrees.
The complementary angle is the angle that, when added to the given angle, forms a 90-degree angle.
The complementary-angle to "x" degrees is = (90 - x) degrees,
We know that the measure of the angle is nineteen times the measure of its complementary angle, we can write the equation as :
x = 19(90 - x),
x = 1710 - 19x,
20x = 1710,
x = 1710/20,
x = 85.5,
Therefore, the measure of the angle is 85.5 degrees. The measure of its complementary angle is 90 - 85.5 = 4.5 degrees.
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The graph below represents the linear equation y = 3/5 x- 2.
Answer:
The y-intercept is -2 and the slope is 2/3
Step-by-step explanation:
A recipe has a ratio of 1/3 cup of sugar to 4 cups of water if 2 cups of sugar are used how many cups of water are needed
Answer:
24 cups is the answer!
Step-by-step explanation:
Hope this helps :)
Answer:
24 cups
Step-by-step explanation:
1/3
2=6/3
4*6= 24
Help please please with this and another
Answer:
6-8k
Step-by-step explanation:
2(3-4k)=2*3-2*4k=6-8k
Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000. How long will it take him to reach his goal?
The time taken to reach the goal of $3000 will be 36 months.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Lucas has $300 in his savings account and starts saving $75 per month. He wants to meet his savings goal of $3000.
The equation for the total cost will be formed as,
TC = 75m + 300
3000 = 75m + 300
3000 - 300 = 75m
2700 = 75m
m = 2700 / 75
m = 36 months
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What is the positive difference between 8 and 9
Answer:
8-9=-1
just absoulte value. |-1| = 1
Step-by-step explanation:
(a^3 b^12 c^2) * (a^5 c^2) * (b^5 c^4)^0
A) a^15 b^12 c^4
B) a^8 b^17 c^8
C) a^14 b^15 c^9
D) a^8 b^12 c^4
Step-by-step explanation:
[tex] = ( {a}^{3} {b}^{12} {c}^{2} ) \times ( {a}^{5} {c}^{2} ) \times ( {b}^{5} {c}^{4} ) {}^{0} [/tex]
[tex] = {a}^{3 + 5} {b}^{12} {c}^{2 + 2} [/tex]
[tex] = {a}^{8} {b}^{12} {c}^{4} [/tex]
Option D
Please help I need the answer
Step-by-step explanation:
(i) Here in ∆ AED and ∆ CEB ,
ang . DAE = ang. BCE AD = BC ang. AED = ang. BECHence by AAS congruence congruence condition ,
∆AED [tex]\cong [/tex] ∆CEBAlso ,
AE = CE . . . . . (i) BE = DE . . . . . (ii)==========================================
(ii) In ∆ AEB and ∆CED ,
AE = CE BE = DE ang. DEC = ang. AEB ( vertically opposite angles)Hence by SAS condition ,
∆AEB [tex]\cong [/tex] ∆CED===========================================
(iii) Here ,
ang BAC = ang. DCASince these two angles are alternate interior Angles and equal . Hence the lines will be parallel . Also since ∆AEB is congruent to ∆CED , the corresponding sides will be equal . Hence AB = CD .
Hence Proved !What is 25% of 35????
Answer:
8.75
Step-by-step explanation:
In order to determine what is 25% of 35, simply multiply 35 by 0.25 (which is the decimal equivalent of 25%).
0.25 × 35 = 8.75.
Therefore, the 25% of 35 is 8.75.
Please help me please!! −
2 -2/5x -9 < 9/10 Plsss help!
5
x
−
9
<
9
10
Answer:
Step-by-step explanation:
Drag the numbers so their absolute values are ordered from least to greatest.
Answer:
I really don't know sorry
Find f(g(x)) and g(f(x)).
Given: f(x)= 3x – 1; g(x) = 7x + 6
Answer:
When f(x)= 3x – 1 and g(x) = 7x + 6,
f(g(x)) = 21x + 17
and
g(f(x)) = 21x - 1
Step-by-step explanation:
Given:
f(x) = 3x - 1
g(x) = 7x + 6
To find f(g(x)), substitute the value of g(x) into f(x).
f(g(x)) = f(7x + 6)
Substitute variable.
f(7x + 6) = 3(7x + 6) - 1
Distribute the 3 inside the parenthesis.
f(7x + 6) = 21x + 18 - 1
Subtract 1 from 18.
f(7x + 6) = 21x + 17
Therefore, f(g(x)) is 21x + 17.
To find g(f(x)), substitute the value of f(x) into g(x).
g(f(x)) = g(3x - 1)
Substitute variable.
g(3x - 1) = 7(3x - 1) + 6
Distribute the 7 inside the parenthesis.
g(3x - 1) = 21x - 7 + 6
Add 6 to -7.
g(3x - 1) = 21x - 1
Therefore, g(f(x)) is 21x - 1.
A person invests 3500 dollars in a bank. The bank pays 5% interest compounded
semi-annually. To the nearest tenth of a year, how long must the person leave the
money in the bank until it reaches 8900 dollars?
r
A = P(1 + )nt
n
Answer: 18.9
A=8900
P= 3500
r = 0.05
n = 2 (semi-annually)
T= 18.9
Maggie has a collection of 1,200 pennies. Of these, 25% are dated before 1980, 35% are dated from 1980-2000, and the rest are dated after 2000. How many pennies in Maggie's collection are dated after 2000?
Answer: 780
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Answer:
I think this one will be D.
TR=UR
Hope this helps :)
Satchmo bought half pound of mangoes for $6 how much would he pay for 13/4 pounds of mangoes ?
Answer: 39
Step-by-step explanation: 1/2 = 6
13/4 = x
cross mutiply13/4 * 6=19.5divide both sides by 1/2answer is 39If Satchmo bought half pound of mangoes for $6 then he pay $39 for 13/4 pounds of mangoes.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given that Satchmo bought half pound of mangoes for $6
We need to find the amount he has to pay for 13/4 pounds of mangoes.
Let x be the amount he has to pay for 13/4 pounds of mangoes..
We find the value of x by forming a proportional equation by given data.
1/2/6=13/4/x
1/12=13/4x
Apply cross multiplication
4x/12=13
x/3=13
x=39
Hence, Satchmo pay $39 for 13/4 pounds of mangoes.
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Please help asap. I really need this!!
Answer:
65
Step-by-step explanation:
Suppose that two asteroids in the asteroid belt are moving in a straight line and at the same speed toward each other. If a 3D coordinate system is placed with the origin at the sun, then the position of one asteroid can be described as 2.8 astronomical units (AU) in the direction of positive x, 0.3 AU in the direction of positive y, and 0.15 AU in the direction of positive z. At the same time, the position of the other asteroid can be described as 2.7 AU in the direction of positive x, 0.23 AU in the direction of positive y, and 0.12 AU in the direction of positive z. At what point in this 3D coordinate system will they collide? Use the midpoint formula
i have tried to solve this by using the formula but i cant figure out x2,y2 and z2.
Answer:
x2 =0.87
Step-by-step explanation:
Find the of fish food cubes it takes to fill the large box
Answer:
Step-by-step explanation:
What exactly is your question first of all?
Which fraction is equal to 0.54--
Answer:
27/50
Step-by-step explanation:
Answer:
27/50
Step-by-step explanation:
54 is another way of writing 54 hundredths, or as a fraction, 54/100. Asking for a simplified fraction is asking you to reduce the numerator and denominator by any common terms. 54 and 100 are both divisible by 2, so we get to 27/50. These have no factors in common, so 27/50 is our simplified fraction.
I need help ASAP the answer should be 230 mi^2 I just need the work !! Please
Answer:
9x5=45x5=225+5=230
Step-by-step explanation:
The cost of a car rental is $40 plus $0.18 per mile. You are on a budget of $67. Write and solve an inequality to find the greatest distance you can drive while staying within your budget.
Answer:
You can pay a maximum of $84.
formula is:
84 = 40 + .22*m
subtract 40 from both sides of this equation to get:
44 = .22*m
divide both sides of this equation by .22 to get:
44/.22 = m
simplify to get:
m = 200
you can go at most 2
Shandra scored 75 on her first math test. She scored
20% higher on her next math test. What did she score
on her second test?
Answer:
90
Step-by-step explanation:
20% of 75 is 7.5 times 2 which equals 15 so 15 plus 75 is 90.
Answer:
She scored 90 on her second math test.
Step-by-step explanation:
A 20% increase is 120% of the original number. 120% is also just a multiplier of 1.2. Multiply the first score by 1.2 to get the second score:
[tex]75\times1.2=90[/tex]
She scored 90 on her second math test.
please help!!! thanks!!!
Answer:
C
Step-by-step explanation:
Use the quadratic formula to find the roots. Find the factors from the roots, then multiply the factors together.
2+2/50
what is the answer?
Answer:
2.04
Step-by-step explanation:
Answer:4/50
Step-by-step explanation:
2+2 = 4
what is (x+4) (2x-1) in standard form
Answer:
[tex]2x^{2} +7-4[/tex]
Step-by-step explanation:
Distribute x+4 into 2x-1 to get
[tex]2x^{2} +7-4[/tex]
Answer:
y= 2x^2+7x-4
Step-by-step explanation:
if you make a box plot it is easier to figure answers like this out.
30 pts pleeeaase answer correctly
Answer:
what is the question?
Step-by-step explanation:
will give brainliest
Answer:
D. 1356.5 cm³
Step-by-step explanation:
The volume of a cone can be represented by:
V = (π)(r²)(h/3)
Substitute the known values:
π = 3.14
r = 12
h = 9
V = (3.14)(12²)(9/3)
Square 12.
V = (3.14)(144)(9/3)
Divide 9 by 3.
V = (3.14)(144)(3)
Multiply 3.14 and 144.
V = (452.16)(3)
Multiply 452.16 and 3.
V = 1356.48
Round to the nearest tenth.
V = 1356.5.
Solve for x.
X+10
—-
5
X-2
—-
6
Answer:
X+10 5Step-by-step explanation:
we divide since when 5 can divide 2
10divide 5 is 2 so x = 2.so as the second2 divide 6 is 3 so X =-3Which expression is equivalent to
8
p
−
3
n
+
4
q
−
9
m
Answer:
4p-n+2q-3m
Step-by-step explanation:
:)
profa lo necesito urgente
the answer is 5x But if you know what "x" is then just multiply the x first and then the addition
