[tex]\\ \sf\longmapsto 5y+32+7y-14=90[/tex]
[tex]\\ \sf\longmapsto 12y+18=90[/tex]
[tex]\\ \sf\longmapsto 12y=72[/tex]
[tex]\\ \sf\longmapsto y=6[/tex]
m<2=7(6)-14=42-14=28[/tex]The required value of m∠2 would be 30 degrees when the value of y = 6 due to the given pair of angles being complementary.
What are complementary angles?The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles.
We have been given that the pair of angles as
(5y + 32)° and (7y - 14)°
∵ ∠1 and ∠2 are complementary angles
Here, the pairing of angles sums up to 90° then they are called complementary angles.
So 5y + 32 + 7y - 14 = 90°
⇒ 12y + 18 = 90
⇒ 12y = 72
⇒ y = 6
So m∠2 = 7y - 14
Substitute the value of y = 6 in the above equation, and we get
So m∠2 = 7(6) - 14 = 42 -12 = 30
Therefore, the value of m∠2 would be 30 degrees when the value of y = 6.
Learn more about the complementary angles here:
brainly.com/question/5708372
#SPJ5
Look at the figures. How can you prove the triangles are congruent?
is it
A) ABC= DEF by the SAS postulate
B) It is not possible to determine if the triangles are congruent
C) ABC = DEF by the SSS postulate
Answer:
SAS
Step-by-step explanation:
AB ≅ DE Given
AC ≅ DE Given
∠ A and ∠B are right angles Given
∠A ≅ ∠B All right angles are ≅
A chemist is using 337 milliliters of a solution of acid and water. If 13.2% of the solution is acid, how
many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
44.5 mL
Step-by-step explanation:
337 × 13.2%
= 337 × 0.132
= 44.484 mL
= 44.5 mL (1dp)
match the inequality with its graph
Write the value of
[tex]1 - 2 \cos {}^{2} c[/tex]
Step-by-step explanation:
1-2cos²c.
> (cos²c+sin²c)-2cos²c. (cos²c+sin²c=1)
> cos²c+sin²c-2cos²c
> sin²c-cos²c.
is your correct answer.
hope this helps you.
–8(6+3)
-83
Please help me
Answer:
-155
Step-by-step explanation:
-8\cdot \:9-83
-72-83
=-155
please help due today NO LINKS WILL REPORT
Answer:
Step-by-step explanation:
i think that the answer is a, because the def of natural numbers match's and there all integers.
HELP THIS IS DUE SOON 30 POINTS
Answer:
x = 4
Step-by-step explanation:
f(x) = 4x-5
11 = 4x-5
4x-5 = 11
4x = 11+5
= 16
x = 16÷4
= 4
Write and solve an inequality that represents the values of x, in feet.
The perimeter is less than 16 feet.
Answer:
x < 16 ft
Step-by-step explanation:
Perimeter = x
If it is less than 16, the equation is:
x < 16
-Chetan K
In a particular part of the Volta lake, there is a population of 100000 tilapia. The number of tilapia is decreasing at a rate of 10% per year due to pollution from a human settlement on the shores of the Volta lake in this area.
2. Copy and complete the table below to show the number of tilapia P after 1, 2 and 3 years
Number of years (t) 0 1 2 3
Number of tilapia (N)
Criterion B 1-2
b) Write an exponential model for the number of tilapia N after t years
Criterion B 3-4
c) When the population of tilapia falls below 25000 it is at a ‘critical level’. Write an inequality and calculate how long it will take for this lake to be at a critical level.
Answer:
?????
Step-by-step explanation:
value of 3 to the power of -2
Answer:
it would be .1111111111
Hope this helps
Answer:
.1 repeating
Step-by-step explanation:
.1 repeating= .11111111111
Hope this helps.
The angle which is four times its complement is a. 60 b. 30 C. 45 d. 72
Answer:
The answer is D.72°
Step-by-step explanation:
hope this helps.
the diagram shows a circle inside a square 16cm work out the area of the circle
Answer:
12.57 or 4π
Step-by-step explanation:
Since the area of 16, the 2 sides must be 4 and 4
From that we can infer that the diameter is 4
Radius is 2
radius squared*pi
4*3.142
12.57
find two numbers with a sum of
11 and a difference of 5.
Answer:
8 and 3
Step-by-step explanation:
Answer:
The numbers are 8 and 3
Step-by-step explanation:
Hope This Helps!
Elaine old bicycle had tires with 12 inch diameter. Her new bicycle has tires with 16 inch diameter. What is the difference in the same conference of the tires
Answer:
12.56 inches
Step-by-step explanation:
A map of Pennsylvania has a scale of ¾ inch to 25 miles. If Pittsburgh and Philadelphia are 9 inches apart on the map, how many miles apart are the two cities?
Answer: 300
Step-by-step explanation:
0.75 inches : 25 miles
we can times 0.75 by 12 to get 9, we have to do the same thing on the other side.
9inches : 300 miles
Collin spent $34 on a new video game. How much money does he need to earn in order to have a net change of $0?
A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 40 miles per gallon of gas. During one particular week, the two cars went a combined total of 1700 miles, for a total gas consumption of 55 gallons. How many gallons were consumed by each of the two cars that week
PLEASE HELP DUE TODAY NO LINKS WILL REPORT
Answer:
The first option
Step-by-step explanation:
Because you cannot have a negative squared root
Answer:
a.
Step-by-step explanation:
I had this question before lol.
Lourdes plans to jog at least 1.5 miles. Write and solve an inequality to find x, the number of hours that Lourdes will have to jog..
Answer:
An inequality compares two or more variables by using the <, >, ≤, or ≥ signs.
The number of hours Lourdes will have to jog is 0.4 hours
From the given parameters:
Lourdes plans to jog for at least a distance of 1.5 miles
If Lourdes can jog averagely at the speed of 3.75 mph
Then,
the inequality that can represent the information can be written as:
= 1.5 miles ≤ 3.75 (x) miles/hour
Solving the inequality;
= 1.5 ≤ 3.75 (x)
Making (x) the subject of the formula, we have:
x = 0.4 hours
Therefore, we can conclude that the number of hours lourdes will have to jog is 0.4 hours
Step-by-step explanation:
(1.5x10^-5)+(3.5x10^-2) what is this written in scientific notation??
Answer:
0.035015x
Step-by-step explanation:
tập nghiệm của phương trình 3tan+√3=0
Answer:
if 0° ≤ x ≤ 360°
x = 150° or x = 330° (5/6 π , 11/6 π)
if x can be beyond 2π (360°) , above or below
x = 5/6 π + 2nπ or x = 11/6 π + 2nπ
Step-by-step explanation:
3 tanx = -√3
tan x = - 1/√3
if 0° ≤ x ≤ 360°
x = 150° or x = 330° (5/6 π , 11/6 π)
if x can be beyond 2π (360°) , above or below
x = 5/6 π + 2nπ or x = 11/6 π + 2nπ
Larry and Cathy study for a total of 24 hours each week. Larry studies 3 less than twice the hours than Cathy studies. How many hours does Cathy study per week?
ATQ
[tex]\\ \sf\longmapsto x+2x-3=24[/tex]
[tex]\\ \sf\longmapsto 3x-3=24[/tex]
[tex]\\ \sf\longmapsto 3x=24+3[/tex]
[tex]\\ \sf\longmapsto 3x=27[/tex]
[tex]\\ \sf\longmapsto x=9[/tex]
Answer:
ᎪꪀsωꫀᏒ9 hours Cathy study per week
Step-by-step explanation:
=> according to the question
➪ x+2x-3=23
➪ 3x-3=24
➪ 3x=24+3
➪ 3x=27
➪ x= 27/3
➪ x= 9
Barry buys a new washing machine.
The value of the washing machine depreciates by 20% each year.
(a)
Barry says 'after 5 years the washing machine will have no value'.
Barry is wrong. Explain why.
Barry wants to work out the value of the machine after 2 years.
(b)
By what single decimal number should Barry multiply the value of the machine when new?
Answer:
The machine decreases in value by 20% each year.
After 1 year the machine is worth only .8 of its original value.
The machine will only decrease by .2 * (.8 A) in the second year not .2 * A where A is the original amount.
A1 = .8 A
A2 = .8 A1 = .64 A value of machine after 2 years
.8 is the value Barry needs when the machine is new
.8^n never goes to zero
After 10 years value = .8^10 A = .11 A of its original value
Let f(x)=8x−6. What is the value of f(12)?
Answer:
f(12) = 90
Step-by-step explanation:
This is more of a notation problem than anything else.
The x on the left means that the variable is x. That sounds weird I know, but it starts out this way.
f(variable) = 8*variable - 6
Where you see the word variable, you put the letter x and that gives you the question.
f(x) = 8*x - 6
That is math shorthand for whatever you see on the left, like an x or in this case 12, you put the value 12 in for x on the right. It will look like this.
f(12) = 8*12 - 6 Now it just becomes a calculator problem.
f(12) = 96 - 6
f(12) = 90
help please i need it with explanation
Answer:
10. x = -23
Step-by-step explanation:
-3.8x - 5.9x = 223.1
-9.7x = 223.1 (-3.8 minus 5.9)
x = -23 (223.1 divided by -9.7)
Answer:
12. x = 70
Step-by-step explanation:
(-3/5)x - (7/10)x + (1/2)x = -56
-(4/5)x = -56 ( -3/5 minus 7/10 plus 1/2)
x = 70 (-56 divided by -4/5)
Find the slope of the line that passes through (20, -37) and (68, -56).
i believe it would be -19/48
HELP ME PLS
if y varies inversely with x, and y = 15/2 when x = 4, find x when y = 15/4
You are given that a 7.6.54 to 3 significant figures) and b = 123 (to 3 significant figures):
Calculate upper and lower bounds for a+b, give your answers to 3 significant figures:
[tex]\\ \sf\longmapsto a+b[/tex]
[tex]\\ \sf\longmapsto 123+76.5[/tex]
[tex]\\ \sf\longmapsto 199.5[/tex]
[tex]\\ \sf\longmapsto 199[/tex]
9 - 5n < -4n + 9 or 9n + 4 < 7n - 4
Help me :( please help me
Answer:
22.84, 5.83
Step-by-step explanation:
Pythagoras theorem states that: a^2+b^2=c^2
So, for red triangle, it will be: 9^2+21^2=b^2
81+441=b^2
522=b^2
square root of 522=b
22.84=b
For purple one,
3^2+5^2=a^2
9+25=a^2
34=a^2
square root of 34=a
5.83=a