Answer:
The answer is 28.
Step-by-step explanation:
Ok.
☆7x and 3x + 16 are congruent, meaning they equal the same.
☆Since they are equal, we can make an equation out of then.
7x = 3x + 16
☆Then we just solve.
[tex] \: \: \: \: \: \: \: \: \: 7x = 3x + 16 \\ \frac{- 3x = - 3x}{4x = 16} \\ \\ \frac{4x}{4} = \frac{16}{4} \\ \\ x = 4[/tex]
☆Therefore, x equals 4.
☆We are solving for m<KJL so all we need to do is plug in.
[tex]7x \\ 7(4) \\ 28[/tex]
☆You answer is 28.
The required angle is 28°
What is congruence in triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all three corresponding angles are equal in measure. These triangles can be slid, rotated, flipped, and turned to be looked identical. If repositioned, they coincide with each other.
Given here ∠KJL=7x and ∠LJM=3x+16
now in ΔKJL & ΔLJM, JL is common and KL=LM, and by Pythagoras theorem JL²=KL²+JK² & JL²=JM²+LM²
Thus KL²+JK² = JM²+LM²
⇒ JK=JM
Thus by the SSS criterion, we can conclude that the triangles are congruent.
therefore by CPCT 7x=3x+16
4x=16
x=4
so the required angle is 7×4 =28°
Hence, ∠KJL=28°
Learn more about congruence here:
https://brainly.com/question/7888063
#SPJ2
I WILL GIVE YOU BRAINLY PLSS
If you multiply both sides of an inequality by a negative number, when should you
reverse the inequality symbol?
A. sometimes
B. always
C. never
D. depends on if the number is a fraction or not
PLSS SHOW YOUR WORK PLSS
Answer:
b
Step-by-step explanation:
if you say 1<2 and multiply both by negative 3 you will have -3 > -6
Answer:
Step-by-step explanation:
When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! This is why you must flip the sign whenever you multiply by a negative number. You can also consider this with a number line.
I hope this helps!
I need help with this
which of the following expressions have the greatest value
Answer:
the Answer is D
Step-by-step explanation:
the answer is 2^5 (D) mate
Question
Under ideal conditions, the population of a certain species doubles every nine years. If the population starts
with 100 individuals, which of the following expressions would give the population of the species t years after
the start, assuming that the population is living under ideal conditions?
Answer: 100 x 2^ t/9
Step-by-step explanation:
The initial population of 100 that doubles in 9 years, gives the
expression for population as; [tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex].
How can the expression for the population be found?Given parameters are;
The time it takes the population to double = 9 years
The initial population count = 100
Required:
The expression that gives the population after t years.
Solution:
The population as a function of time can be expressed as an
exponential function as follows;
[tex]P = \mathbf{P_0 \cdot e^{c \cdot t}}[/tex]
At the start, t = 0, P = 100, we have;
[tex]100 = \mathbf{ P_0 \times e^{c \times 0} }= P_0[/tex]
Therefore;
P₀ = 100
After 9 years, we have;
P = 2·P₀
Therefore;
[tex]2 = \mathbf{ e^{c \times 9}}[/tex]
ln(2) = 9·c
[tex]c = \dfrac{ln(2)}{9} \approx 0.077[/tex]
The function that gives the population is therefore;
[tex]\underline{ P = 100 \cdot e^{0.077 \cdot t}}[/tex]Learn more about exponential functions here:
https://brainly.com/question/15602335
I need this by tomorrow! please help me, I'm desperate. I dont understand it well.
10 yd
5 yd
What’s the surface area of the cylinder
Answer:
471.24 yd²
Step-by-step explanation:
The formula for the surface area of the cylinder
= 2πr(r + h)
Height = 10 yd
Radius = 5 yd
Surface area =
2 × π × 5(5 + 10)
= 471.24 yd²
The surface area of the cylinder = 471.24 yd²
uhm second time? i dont know this question. what is
-1 + -1 = ?
pls help me
Answer:
- into + equals to -
so -1+ -1= -1 -1
Answer is -2
Step-by-step explanation:
The senior classes at High School A and High School B planned separate trips to New York City.
The senior dass at High School A rented and filled 14 vans and 6 buses with 264 students. High
School B rented and filled 7 vans and 5 buses with 178 students. Every van had the same
number of students in it as did the buses. How many students rode in each van?
Answer:
9 kids
Step-by-step explanation:
f(g(x))
F=3x-2
G=-x+1
Answer:
f(g(x)) = 3x + 1
Step-by-step explanation:
To find f(g(x)), substitute x = g(x) into f(x), that is
f(x + 1)
= 3(x + 1) - 2
= 3x + 3 - 2
= 3x + 1
Pls help I’m bad at math no matter how much I try
Answer:
9/1 = 0.9
2 = 2.0
3 1/10 = 3.1
10 = 100
Step-by-step explanation:
solve for all solutions: sin5x=-1/2
Answer:
-1/10
Step-by-step explanation:
Let's solve your equation step-by-step.
5x=−1/2
Step 1: Simplify both sides of the equation.
5x= -1/2
Step 2: Divide both sides by 5.
5x/5 = -1/2/5
x=-1/10
PLEASE HELP THIS IS DUR SOON
Answer:
1 3/4
Step-by-step explanation:
We can set the length of the rectangle to l. We can make an equation with the area because we know length*width = area.
l*(4/5) = 7/5
4l = 7
l = 7/4 = 1 3/4
I need help solving this practice math problem
A train travels at a speed of 35 miles per hour. How far will the train travel in 5 hours?
This is Math
Answer:
175 miles
Step-by-step explanation:
35 times 5 = 175
What is the length of AB? 4 units 5 units 6 units 7 units
Answer:
the answer is 6 units
Step-by-step explanation:
find point A and point B and then just count the units over from
A to B and you will get AB is 6 units
Answer c
Step-by-step explanation: bc its 6 units
Next Question!!? Help please... <3
Answer:
x=4 and y=0
Step-by-step explanation:
Sub x-4 in for y:
2x+4(x-4)=8
2x+4x-16=8
6x=24
x=4
y=x-4
y=4-4
y=0
Y = 4
X = 0
Answer is 8
If you were going to solve -3(x + 5) = 27, what is the first step that you would do? Why did you start there?
Answer:
Step-by-step explanation:
Multiply -3 for x and for 5
-3x-15=27
When you have this type of equation the first thing you do is take off the parentesis
Then you pass the 15 to the other side and you get -3x= 27 +15 . After that you divide that for -3 and you get the x . In this case x= -14
Sorry if the english is bad, i hope this helps
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee assstin
90×90×90×90
Answer:
65610000
Step-by-step explanation:
Answer:
65,610,000
Step-by-step explanation:
Original price is $300; Discount is 25%
Answer:
$225
Step-by-step explanation:
25% of 300 is also 1/4 of 300 which is 75
you take the discounted price away from the original price
300-75=225
Find the average rate of change of the tree over time. In 1965 the tree has a diameter of 135 in. And in 2005 it has a diameter of 139 in. B)Predict the diameter in 2035.
Answer:
0.1 in per year ; 142 in
Step-by-step explanation:
Giveb that :
Diameter of tree in 1965 = 135 inches
Diameter of tree in 2005 = 139 inches
Average rate of change:
Change in diameter / change in time
(139 - 135) / (2005 - 1965)
4 / 40
= 0.1 in per year
Predict diameter in 2035;
Initial diameter + (average rate of change * (Number of years from initial)).
135 in + (0. 1 * (2035 - 1965))
135 in + (0.1 * 70)
135 in + 7 in
= 142 in
Are the ratios 13:9 and 6:3 equivalent?
Ms. Agokeng is making a trip to Pennsylvania that is more than 250 miles. She has already driven 45 miles and is continuing her drive at 70 miles per hour. Which of the following inequalities represents the amount of time she has left in the car?
Answer:
The correct answer is A.) 45 + 70x < 250.
y = mx + b
She started at 45 miles (+ 45).
She has to go at least 250 miles (< 250).
She is driving at a constant, unchanging speed of 70 mph (70x).
Which inequality is true?
Answer:
a
Step-by-step explanation:
Answer:
The inequality -2 [tex]\frac{3}{4}[/tex] < -1 [tex]\frac{2}{4}[/tex] is correct.
Step-by-step explanation:
-2 [tex]\frac{3}{4}[/tex] is greater than -1 [tex]\frac{2}{4}[/tex] because the more left the number is on the number line, the smaller.
Therefore the inequality -2 [tex]\frac{3}{4}[/tex] < -1 [tex]\frac{2}{4}[/tex] is correct.
M/8-15=-12
What would m equal??
Answer:
24?
Step-by-step explanation:
What’s the constant of proportionality
(COP= constant of proportionality) help plz
Find a point on Y-axis which is equidistant from the points (2,-2) and (-4,2)
answers fast pleasee ......help me out guys
Answer:
( -1, 0)
Step-by-step explanation:
(2 + -4)/2 = -1
(2 + -2)/2 = 0
A staffing agency for in-home nurses and support staff places necessary personnel at locations on a daily basis. Each placed nurse works 240 minutes per day at a daily rate of $90. Each support staff employee works 360 minutes per day at a daily rate of $120.
A. On a given day, 3000 total minutes are worked by then nurses and support staff that were placed. Write an equation that represents this relationship
B. On the same day, earnings for placed nurses and support staff totaled $1050. Write an equation that represents this relationship.
C. Solve the system of equations, and interpret the solution in the context of the situation.
Samuel deposits $100 in a high-interest account that has an interest rate of 10% compounded annually. Samuel decides to neither add to nor withdraw money from the account for the next 10 years. How much will be in his account in 3 years? How long will it take to accumulate $61 in interest?
Answer:
In 3 years, the value of Samuel’s account will be approximately $133
It will take about 5 years for Samuel’s account to earn $61 in interest.
Step-by-step explanation:
edmentum
Dwight is selling flowers and candles for a school fundraiser. Flowers, x, sell for $7 for a bouquet, and candles, y, sell for $5. each. If he wants to sell at least $200 worth of flowers and candles, which inequality represents the situation where he sells x flowers and y candles?
A: 7x + 5y 200
C: 7x + 5y ≤ 200
D: 7x + 5y ≥ 200
Please explain why the right answer choice is correct. Thanks.
Answer:
D: 7x + 5y ≥ 200
Step-by-step explanation:
If flowers sell for $7 and candles sell for $5, we can write those as 7x and 5y. Now, our inequality is 7x + 5y __. The words "at least" can translate to greater than or equal to. The symbol for that is ≥. Now, he wants to sell at least $200 worth of goods. That means we can write our inequality as 7x + 5y ≥ 200.
Need help with this one
Answer:
3/2 and 2/3
Step-by-step explanation:
Scale Factor = Image / object
You can take either of the three sides so as far as it corresponds with the side of the other triangle
Let's take longest sides
= 15/10 = 3/2 That's scale Factor from Triangle PQR to STU
The second question is the reverse of the first one
= 10/15 = 2/3
The same applies to when you use the other sides of the triangles.