Answer:
<2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary.
Step-by-step explanation:
Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i. <1 and <2 are complementary
ii. <1 ≅ <3
iii. <2 ≅ <4
Prove that: <2 and <3 are complementary
Proof:
<1 + <2 = [tex]90^{o}[/tex] (complementary angles)
<1 ≅ <3 (congruent property)
<2 ≅ <4 (congruent property)
⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)
Since <1 ≅ <3,
∴ <2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary
7-5(x+6)= -7x-17 what value of x makes the equation true?
Answer:
x=3
Step-by-step explanation:
7-5(x+6)= -7x-17
Distribute
7 - 5x-30 = -7x-17
Combine like terms
-5x-23= -7x-17
Add 7x to each side
-5x-23+7x= -7x-17+7x
2x -23 = -17
Add 23 to each side
2x-23+23 = -17+23
2x= 6
Divide by 2
2x/2 = 6/2
x =3
Answer:
x = 3
Step-by-step explanation:
7 - 5(x + 6) = -7x - 17
~Simplify left side
7 - 5x - 30 = -7x - 17
~Combine like terms
-5x - 23 = -7x - 17
~Add 23 to both sides
-5x = -7x + 6
~Add 7x to both sides
2x = 6
~Divide 2 to both sides
x = 3
Best of Luck!
1. f(x) = 3x - 2 for D = (-3, 1, 5}
Plzzz help plzzz help plzz help
Answer:
Step-by-step explanation:
3(-3) - 2 = -9 - 2 = -11
3(1) - 2 = 3 - 2 = 1
3(5) - 1 = 15 - 1 = 14
Maki gave the cashier $50 to pay for 3 necklaces. The cashier gave her $4.25 in change. If each necklace cost the same amount, what is the cost in dollars and cents for each necklace?
Answer:
15.25
Step-by-step explanation
We can make an equation based on the data. 3x + 4.25 = 50
3x = 45.75
x = 15.25
Answer:
15.25
Step-by-step explanation:
Determine if 0.27322370013414... is rational or irrational and give a reason for your answer.
Answer:
It's Rational.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
It is found that 0.27322370013414... is rational number.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Since, rational number is any integer, fraction, terminating decimal, or repeating decimal.
Thus, 0.27322370013414... is rational number.
Learn more about a number pattern:
brainly.com/question/14471389
#SPJ2
18.08 x 1.3 + 2.12 then multiply the answer by 2.12
then add the 2 answers
i will give brainliest
Answer:
79.94688
Step-by-step explanation:
Kaylee bought 4 chicken wings for $8. What was the cost of the wings in dollars per wing?
Answer:
2$
Step-by-step explanation:
2 x 4 = 8
hope this helps
Answer:
The answer to this question is that: each wing was $2
Step-by-step explanation:
The reason for this is because, you take the amount that she paid and divided that by the amount of wings that she bought.
8. An average worker in Brazil can produce an
ounce of soybeans in 20 minutes and an ounce
of coffee in 60 minutes, while an average worker
in Peru can produce an ounce of soybeans in
50 minutes and an ounce of coffee in 75 minutes.
a. Who has the absolute advantage in coffee?
Explain.
b. Who has the comparative advantage in cof-
fee? Explain
c. If the two countries specialize and trade
with each other, who will import coffee?
Explain.
d. Assume that the two countries trade and that
the country importing coffee trades 2 ounces
of soybeans for 1 ounce of coffee. Explain why
both countries will benefit from this trade.
Answer:
A answer is Brazil.. Is correct
Need some help plzzzz
100^(3-4x)/(2x+1) is less than or equal to 0.01^(5x-8)/(2x+1)
Answer:
domain: 2x+1 not equal to zero, then x not equal to -1/2
Set 2x+1>0
then x>-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)<=0.01^(5x-8)
(10^2)^(3-4x)<=[10^(-2)]^(5x-8)
10^[2*(3-4x)]<=10^[(-2)*(5x-8)]
10^(6-8x)<=10^(16-10x)
6-8x<=16-10x
2x<=10
x<=5
combine x>-1/2 and x<=5
then - 1/2<x<=5
Set 2x+1<0
then x<-1/2
100^(3-4x)/(2x+1)<=0.01^(5x-8)/(2x+1)
100^(3-4x)>=0.01^(5x-8)
(10^2)^(3-4x)>=[10^(-2)]^(5x-8)
10^[2*(3-4x)]>=10^[(-2)*(5x-8)]
10^(6-8x)>=10^(16-10x)
6-8x>=16-10x
2x>=10
x>=5
combine x<-1/2 and x>=5
, then x does not exist while 2x+1<0
so answer is - 1/2<x<=5
Does anyone know the answer? It’s due in an hour PLEASE HELPPP!!
When i did that sort of thing i had a trick. But you are correct.
Which point lies on the graph of the function shown below y=-x^2+5x-3
A.(1,4)
B.(0,3)
C.(2,3)
D.(-2,2)
Answer:
C: (2,3)
Step-by-step explanation:
to solve this algebraically just plug in the x and y values of the points and see if they are true, but here is the graph to juse show you
plz help me thank you :)
Gemma makes a conjecture that the sum of an odd integer and itself is always an even integer. Which choice is the best proof of her conjecture?
A) Look at these different examples: 7 + 7 = 14, 13 + 13 = 26, 23 + 23 = 46. So the sum of an odd number and itself must be even
B) Let 2n + 1 be an odd number; (2n + 1) + (2n + 1) = 4n + 2. Because 4(n + 2) is divisible by 2, the sum of 2n + 1 and itself is even.
C) Let n represent an odd number, and let n + n be an even number. Therefore, n + n = n + n, which shows that the sum of an odd number and itself is even.
D) Every time you add an odd number and itself, the sum is an even number.Every time you add an odd number and itself, the sum is an even number.
Answer:
top right
Step-by-step explanation:
i guessed and it was right
What does Direct & Inverse variation mean?
Answer: In direct variation, as one number increases, so does the other. This is also called direct proportion: they're the same thing. ... In inverse variation, it's exactly the opposite: as one number increases, the other decreases. This is also called inverse proportion.
Step-by-step explanation:
Step-by-step explanation: Direct variation is the relationship between two variables such that the variables have a constant ratio, k, were k ≠ 0.
If we call our variables a and b, we can use the
following formulas to represent direct variation.
[tex]\frac{a}{b} = k[/tex] or [tex]b = ka[/tex]
Inverse variation is also a relationship between two variables but the difference is that as one variable increases, the other variable decreases.
Suppose that our variables are g and h.
As g increases, h will decrease or as g decreases, y will increase.
show that any positive odd integers is of the form 4q+1 or 4q+3, where q is some integers.
Answer:
Step-by-step explanation:
2) If 20 workers can build a house in 45 days, how many more workers are needed
to complete it in 30 days?
А
6
B
15
С
10
D
18
Answer:
B
Step-by-step explanation:
if X = 5 then 3( 2X - 4) - X
Answer:
13
Step-by-step explanation:
Answer:
well if you're looking for the answer, it is: 13
Step-by-step explanation:
A pentagon has two exterior angles that measure (3x)°, two exterior angles that measure (2x+22)°, and an exterior angle that measures (x+41)°. If all of these angles have different vertices, what is the measure of the smallest exterior angle? 25°25 degrees 66°66 degrees 75°75 degrees 72°
Answer:
2(3x)+2(2x+22)+x+41=360°
Step-by-step explanation:
Sum of exterior angles of any polygon is 360°.
So if we add up all five exterior angles of the pentagon, we have
Find the slope of the line passing through the points (3,7) and (3,-5).
Answer:
I believe the slope of the line passing through the points is x= -3
What percent is equivalent to 14/25?
Answer:
56%
Step-by-step explanation:
Answer:
56%
Step-by-step explanation:
[tex]\frac{14}{25} = \frac{56}{100}[/tex] 15/100 = 56%I hope this helps!
Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, ambos com 20cm de base e 30 cm de altura, 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm. Determine em cm² quanto foi a área da cartolina que sobrou. * 1 ponto 7595cm² 0,7595m² 7190cm² 0.719m²
Answer:
7190 cm²
Step-by-step explanation:
Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.
Passo 1
Determine a área de todo o papelão
= Temos dimensões = 1mx0,8m
Área = Comprimento × Largura
= 0,8m²
Nós convertemos para cm²
1 m² = 10.000 cm²
0,8m² = x cm²
Multiplicação cruzada
0,8m² × 10.000 cm² / 1 m²
= 8000 cm²
Passo 2
Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura
Encontramos a área de um triângulo
= 1/2 × base × altura
= 1/2 × 20 × 30
= 300cm²
Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2
= 600cm²
etapa 3
Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.
A área de um trapézio =
1/2 (a + b) h
= 1/2 (10cm + 20cm) × 7cm
= 1/2 × 30 × 7
= 105 cm²
Ele cortou dois trapézios, portanto
A área dos dois trapézios do corte = 105cm² × 2
= 210 cm²
Passo 4
A área total do papelão que foi cortado = 600cm² + 210cm²
= 810 cm²
Etapa 5
Determine em cm² quanto de papelão sobrou.
Isso é calculado como:
Área total do papelão - Área total que foi cortada
= 8000 cm² - 810 cm²
= 7190 cm²
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
If a = 15 and c. 25 what is the length of leg b of a right triangle using the
pythagorean theorem?
Answer:
b=20
Step-by-step explanation:
[tex]b ^{2} + {a}^{2} = {c}^{2} \ \\ {b}^{2} = {c}^{2} - {a}^{2} \\ {b}^{2} = {25}^{2} - {15}^{2} = 625 - 225 = 400 \\ b = \sqrt{400} = 20[/tex]
Given : In a triangle ABC , a = 15 , c = 25 . Also the triangle is a right angled triangle .
To Find : The value of b using the Pythagoras Theorem.
Solution : The value of side a is 15 , c is 25 and we have to find b . The sides with be Pythagorean Triplet whose smallest member will be 15 . So the third member. will be 20 . And the largest member is 25 .
The Pythagoras Theorem is :
[tex]\boxed{\red{\bf hypontenuse^2=base^2+perpendicular^2}}[/tex]
⇒ c² = a² + b² .
⇒ b² = c² - a² .
⇒ b² = ( c + a ) ( c - a ) .
⇒ b² = ( 25 + 15 ) ( 25 - 15 ) .
⇒ b² = 40 × 10.
⇒ b² = 400.
⇒ b² = √400.
⇒ b = 20 .
Hence the value of c is 20 .
3 times Marie’s age is equal to 50 plz show work
Answer:
m = 16 2/3
Step-by-step explanation:
Let m = maries age
3m = 50
Divide by 3
3m/3 = 50/3
m = 16 2/3
Answer:
Marie's age is 16.7 years
Step-by-step explanation:
3 times Marie's age is equal to 50, so you divide 50 by 3.
50 ÷ 3 = 16.6666666 repeating, round it to 16.7
Marie's age is 16.7 years.
Check: 3 x 16.7 = 50.1 so you round it to 50.
Hope this helps!
-Jerc
if 1 mile is 5280 feet, and it is 2 miles from Ellie's house to the school, about how many feet is it from ellie's house to the school?
I need help.........,
Answer:
Step-by-step explanation:
p=15-4
p= 11
a class has the same number of girls and boys only 8 boys were absent on a particular day and then the number of girls was double the number of boys what is the number of boys and girls
solve question please
Answer:
12, 160, 380
Step-by-step explanation:
Answer:
all of them are perfect square numbers since they can all be divided by four.
Can someone answer the question please.
Identify the vocabulary word that matches the picture.
find the value of each power 1. 3 to the power of negative 3 2. 4 to the power of 4
Answer:
1. 1/3
2. 256
Step-by-step explanation:
3/3/3 is .133333 (3's are repeated)
4*4*4*4 is 256
For homework, Olivia had to complete 15 problems. She completed 6. What is the ratio of problems she still has to complete to the number of completed problems
Answer:
3:5
hope this helped :)