Answers
As we look at both triangles, we can see that they have a few things in common.
Each triangle shares a right angle, one leg, and an acute angle.
LL = leg and leg
HA = hypotenuse and angle
HL = hypotenuse and leg
LA = leg and angle
The triangles do not share two legs, nor do they share a hypotenuse.
Therefore,
LA is the only choice that makes sense.
For these two right triangle, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.
What is the condition of congruence of two right triangles?If the hypotenuse and a side of a right- angled triangle is equivalent to the hypotenuse and a side of the second right- angled triangle, then the two right triangles are said to be congruent.
In these two given right triangles, ∠D = ∠S and ∠F = ∠U.
Therefore, the third angle of each triangle are equal as per the third angle theorem.
The leg of each triangle is equal as mentioned.
Therefore, LA(Leg and angle) verifies that ΔDEF ≅ ΔSTU.
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Related Questions
A lawyer has an annual income of $142,500. The income tax she has to pay is 15%. What is the amount of income tax in dollars and cents that the lawyer has to pay?
Answers
Answer:
21,375
Step-by-step explanation:
142,500 multiplied by 15 % is your answer. at least I hope
What is the slope of the line?
I really need help
Answers
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
Take two points that are on the line.
In this case, I have taken (-3,2) <- this is [tex](x_{1} ,y_{1} )[/tex]
and (1,-1) <- this is [tex](x_{2} ,y_{2} )[/tex]
To find the slope, you do the equation [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Put in the values:
[tex]\frac{-1-2}{1-(-3)} =-\frac{3}{4}[/tex]
5х - 7 = 6x - 3
What is the answer/steps?
Answers
Steps to solve:
5x - 7 = 6x - 3
~Add 7 to both sides
5x = 6x + 4
~Subtract 6x to both sides
-x = 4
~Divide -1 to both sides
x = -4
Best of Luck!
True or False: To multiply fractions, you must have common denominators.
Answers
Answer:
False.
Step-by-step explanation:
You don't need common denominators to multiply fractions. You can multiply both the numerator and denominator of each fraction normally.
Find each sum. (3n2 – 5n + 6) + (–8n2 – 3n – 2) =
Answers
Answer:
C
-5n^2-8n+4
Step-by-step explanation:
The value of the expression after adding will be;
⇒ - 5n² - 8n + 4
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The expression is,
⇒ (3n² - 5n + 6) + (- 8n² - 3n - 2)
Now,
Solve the expression as;
⇒ (3n² - 5n + 6) + (- 8n² - 3n - 2)
⇒ 3n² - 5n + 6 - 8n² - 3n - 2
⇒ - 5n² - 8n + 4
Thus, The value of the expression after adding will be;
⇒ - 5n² - 8n + 4
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The average (arithmetic mean) of 10, 14, and 3x is 18. What is the value of x?
A) 25
B) 26
C) 27
D) 30
Answers
Which mean value ady stated, 18
18=(10+14+3x)/(3)
54= (10+14+3x)
54-10-14=3x
3x=30
x=10
Hope this can help.
It is a great match question you go need to do 10x14+3x=18
HELP ME PLEASEEE
-1/3(y-3)=11
Answers
Answer:
y=-4
Step-by-step explanation:
Equation: -1/3(y-3)=11
First multiply -1/3 by y and by -3 because they are in parenthesis:
-1/3*y=-1/3y
-1/3*3=1
-1/3y-1=11
Next add 1 on both sides:
-1/3y-1+1=11+1
-1/3y=12
Now divide -1/3 on both sides:
-1/3y÷-1/3=12÷-1/3
y=-4
I hope this helped you.
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Have a great day!!!!!!!!
Elizabeth started a chess club in her school. In the first week she recruited two members for the club. From the second week, each new member recruited in the previous week recruited two new members each. How many members are there in the club after 7 weeks including Elizabeth?
Answers
Answer:
i saw my name but i think the anwerser i the third one
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
simplify each expression.
1:4+6(8)
2:2.7+3.6×4.5
3:17-[(3+2)×2]
4:4×3^2+2
5:6×(3+2)÷15
6:40÷5(2)
Answers
Answer:
1. 80
2. 18.9
3. 7
4. 146
5. 2
6. 4
Step-by-step explanation:
1. 6+4=10
10×8=80
2. 3.6×4.5= 16.2
16.2+2.7= 18.9
3. 3+2=5
5×2= 10
17-10=7
4. 4×3=12^2
12×12=144
144+2= 146
5. 3+2=5
5×6=30
30÷15=2
6. 5×2= 10
40÷10=4
how do i solve 20= 2a + 3a i dont need the answer, just how to do it
Answers
Answer:
Add 2a and 3a
20 = 5a
Divide both sides by 5
a = 4
Step-by-step explanation:
Answer: a=4
Step-by-step explanation: you add 2a and 3a together then you get 20=5a. You would divide 20 by 5 and get a=4.
PLEASE HELP ASAP Hi! Please help me guys!!! This is difficult for me.. :c ~Why might a solution to an inequality not be reasonable? Give an example or a counterexample. Thanks! (I'll give brainly!!)
Answers
Answer:
When the solution is negative
Step-by-step explanation:
One example, let's say you are buying pens and each pen cost 3 dollars and you cannot spend more than 15 dollars, how many pens can you buy?
The inequality would be 3x < 15, so any negative solution is not reasonable because you cannot buy negative pens. The same goes for most real-world problems dealing with time, money, or distance.
How many integers satisfy the inequality (x 2 – 4)(x 2 – 10) < 0?
Answers
Answer:
2 integers (2 and -2)Step-by-step explanation:
Given the inequality (x²– 4)(x² – 10) < 0, we are to find the number of integers that satisfies the inequality
From (x²– 4)(x² – 10) < 0, (x²– 4)< 0 and (x² – 10) < 0
For (x²– 4)< 0;
x²<4
take the square root of both sides;
√x²<√4
x < ±2
x<2 and x<-2
Similarly for (x²– 10)< 0;
x²<10
take the square root of both sides;
√x²<±√10
x < ±√10
x<√10 and x<-√10
Note that √10 is not an integer but an irrational number. An integer should be a negative or positive whole number. Therefore the amount of integers that satisfies the equation is 2 i.e 2 and -2
Answer:
B - 2
Step-by-step explanation:
Edg2020
1 sack of flour contains 18 cups. It takes 3 cups of flour to make a batch of cookies. How many batches of cookies can you make with TWO sacks of flour? Identifiey the lead coefficient and the constant term of the following.
Answers
Answer:
12
Step-by-step explanation:
18x2=36
36/3=12
Slope:-2;y intercept: 3
Answers
Answer:
y = -2x + 3
Step-by-step explanation:
Hope this helps!
What goes into -27/8
Answers
What is 2 3/4as an improper fraction
Answers
Caleb painted a regular wall that was 15 feet long and 12 feet tall. He divided the wall into two congruent, right triangles and painted each try and go to different color. What was the area, and square feet, of each triangle?
Answers
Answer:
Step-by-step explanation:
Each triangle has a formula of 1/2 a*b
So one triangle = 1/2 * 12 * 15 = 90
So the other one is the same area of 90 square feet.
Together they make 180 square feet.
You can check this by simply multiplying a*b = 12 * 15 = 180 square feet.
Solve the equation for the variable.
[tex] \frac{1}{4} x - 2 = - 6 + \frac{5}{12} x[/tex]
x = [?]
Answers
3x - 24 = -72 +5x
3x -5x = -72 +24
-2x = -48
x = 24
Enter the number in scientific notation. 9,140,000
Answers
Step-by-step explanation:
[tex] \huge \: 9,140,000 = 9.14 \times {10}^{6} [/tex]
Organisms A and B start out with the same population size. Organism A’s population doubles every day. After five days, the population stops growing and a virus cuts it in half every day for three days. Organism bees population grows at the same rate but it’s not infected with the virus. After eight days how much larger is organism B’s population an organism A’s population?
1: By what factor does organism as population grow in the first five days? Express your answer as an exponential expression
Answers
Answer:
1. 252N = ([tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]7^{1}[/tex])N
2. Factor = [tex]2^{5}[/tex]
Step-by-step explanation:
Let the starting population size for organisms A and B be represented by N.
For organism A;
Day 0: N
Day 1: 2N
Day 2: [tex]2^{2}[/tex]N
Day 3: [tex]2^{3}[/tex]N
Day 4: [tex]2^{4}[/tex]N
Day 5: [tex]2^{5}[/tex]N
Day 6: [tex]2^{4}[/tex]N
Day 7: [tex]2^{3}[/tex]N
Day 8: [tex]2^{2}[/tex]N
For organism B;
Day 0: N
Day 1: 2N
Day 2: [tex]2^{2}[/tex]N
Day 3: [tex]2^{3}[/tex]N
Day 4: [tex]2^{4}[/tex]N
Day 5: [tex]2^{5}[/tex]N
Day 6: [tex]2^{6}[/tex]N
Day 7: [tex]2^{7}[/tex]N
Day 8: [tex]2^{8}[/tex]N
1. After the eight days, organism B's population is larger than organism A's population by;
[tex]2^{8}[/tex]N - [tex]2^{2}[/tex]N = 256N - 4N
= 252N
= ([tex]2^{2}[/tex] x [tex]3^{2}[/tex] x [tex]7^{1}[/tex])N
2. Organism A's population grows by [tex]2^{5}[/tex].
Answer:
factor 2^5
Step-by-step explanation:
wut is the answer of 4-1/3x=8 step by step
Answers
Answer:
[tex]\frac{4-1}{3x}=8/3x\\ 4-1=24x\\24x=3/24\\x=\frac{1}{8}[/tex]
Step-by-step explanation:
Puzzle 1 - Distributive Property Directions: Rewrite the expression 24x - 12 using the distributive property? Find eight equivalent expressions.
Answers
Answer:
2 (6 + 6)
Step-by-step explanation:
2 (6 + 6) is an expression.
Answer:
The answer would 6.5
Step-by-step explanation:
Because when you use the dirstibutive property thats what the total is
To put a narrow border around a square photo, alicia has 32 inches of trim. The area of the photo is 60 square inches. Will she have enough trim for all four sides of the square? Explain how you decided.
Answers
Answer:
yes
Step-by-step explanation:
ur right
Simplify the product using the rules for exponents 14^3• 14^4
Answers
Answer:
105,413,504
Step-by-step explanation:
14x14x14= 2,744
14x14x14x14= 38,416
2,744x38,416= 105,413,504
can someone explain to me what's a perfect square???? and how to solve them
Answers
in in math in mathematics a square number or a perfect square is an integer of a square integer
Type the correct answer in each box. Use numerals instead of words.
Consider this expression.
-4x^2 + 2x – 5(1 + x)
Answers
Answer:
the answer is -4x^2-3x-5
Find the values of x and y
Answers
Answer:
x = 30
y = 10
Step-by-step explanation:
3x° is a right angle so it equals 90°. To solve for x, you need to divide 90 by 3. This equals 30.
In order to find what the angle with y equals, you have to find the rest of them. So if you add 135° + 90° + 90° you get 215. Which is the missing angle.
So to solve for y in (5y - 5) = 45°, you add 5 to 45, which is 50 and then divide by 5. This is how you get y=10.
of the relations graphed below, three are functions and one is not.
Which of the relations is NOT a function?
Graph a
Graph b
Graph c
Graph d
Answers
Answer:B
Step-by-step explanation:
Simple interest is given by the formula A = P + Prt. Where A is the balance of the
account after t years, and P is the starting principal invested at an annual percentage rate
of r, expressed as a decimal.
Noah is investing money into a savings account that pays 3% simple interest, and plans
to leave it there for 10 years. Determine what Noah needs to deposit now in order to
have a balance of $20,000 in his savings account after 10 years.
Noah will have to invest $
now in order to have a balance of
$20,000 in his savings account after 10 years. Round your answer to the nearest dollar.
Answers
Answer:
$10,679
Step-by-step explanation:
Answer:
$645.20
Step-by-step explanation:
The ratio of boys to girls at Compton is 5:6. If there
are 384 girls, how many boys are there at Compton?
Answers
Answer:
Step-by-step explanation:
5:6
6=384
5=
5×384÷6=320
Boys =302
