Answers
Answers:
x = 12angle A = 35angle ABC = 65============================================================
Explanation:
Let y be the measure of angle ABC.
We can see that y = 4x+17 because the two angles (y and 4x+17) are vertical angles. Vertical angles are always congruent.
-------------
From here, focus entirely on the interior angles of triangle ABC.
Recall that for any triangle, the interior angles always add to 180
A+B+C = 180
(x+23)+(y)+(80) = 180 ..... plug in the given angle measures
(x+23)+(4x+17)+(80) = 180 .... replace y with 4x+17
5x+120 = 180 ..... combine like terms
5x = 180-120 ..... subtract 120 from both sides
5x = 60
x = 60/5 ..... divide both sides by 5
x = 12
Now use that x value to find the following:
angle A = x+23 = 12+23 = 35angle ABC = y = 4x+17 = 4*12+17 = 48+17 = 65--------------------------
In short we have this summary of values we found:
x = 12angle A = 35angle ABC = 65Angle A=35
And angle ABC=65
Related Questions
Help Please !!
A baby bird can eat 14 feet of earthworm every day. At this rate, how many days would it take six baby birds to eat 840 feet of worms?
Answers
Answer:
10
Step-by-step explanation:
Answer:
10 days
Step-by-step explanation:
840 feet of worms divided by 6 birds = 140
If a baby bird can eat 14 feet of earthworms every day, then:
140 divided by 14 = 10
It would take 10 days for 6 birds to eat 840 feet of worms
To get from your house to school, you walk 2 blocks east and 1 block
south. What ordered pair corresponds to the location of your school?
Answers
this is because east is two to your right and south is one down
Suppose that an individual has a body fat percentage of 18.9% and weighs 141 pounds. How many pounds of her weight is made up of fat? Round your answer to the nearest tenth.
Please respond within the hour
Thanks
Answers
here is the proportion I used to get the answer. hopefully this helps
image
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 1 options:
A)
Yes; AA; ΔIGF ∼ ΔMNL
B)
Yes; SAS; ΔIGF ∼ ΔMNL
C)
Impossible to determine.
D)
The triangles are not similar.
Answers
Answer:
Yes; SSS;Triangle AYM Triangle EDC The answer will be D is the correct answer choice.
Step-by-step explanation:
toy store is having a sale on puzzles. For each puzzle Naomi buys
she gets 75% off a second puzzle. The original price of a puzzle is $16.60.
How much would 4 puzzles cost? *
Answers
Answer:
4 puzzles would cost $41.50
Answer:
$41.50
Step-by-step explanation:
Add the currency of your sum then subtract but double the 75%
i hope this helped :)
PLEASE HELP PLEASEEEEEEEEEEEEEE
Answers
Answer
sorry it’s no the 9 shirts is wrong
Step-by-step explanation:
Answer:
No the cost of the 9 shirts is incorrect
A recipe calls for 3/4 cup of brown sugar for every 3 eggs. What is the unit rate of eggs per cup?
Answers
Answer:
4 eggs per cup
Step-by-step explanation:
PLEASE help me this is due tomorrow!!
Frodo goes to New Army and buys two pairs of Jeans for $19.99 each, 3 shirts at $7.99 each, and a pack of socks for $5. He has a coupon for 25% off his
entire purchase. Sales tax Is 7 3/4%. What is the total cost after the discount and tax? $
Answers
Answer:
$55.72 that is the rounded to the nearest cent the exact answer is 55.72021875
I need help with this question I'm in 9th grade
Answers
Answer:
Check pdf
Step-by-step explanation:
GIVING BRAINLIEST, FIVE STARS AND THANKS!! PLS AND TY!!
1. Is the product of 12 and 3/4 more or less than 12? Explain your answer in complete sentences.
2. Is the quotient of 5 and 1/2 greater than or less than 5? Explain your answer in complete sentences.
Answers
Answer:
1.) The product of 12 and 3/4 is less than 12. This is because you are multiplying 12 by a number less than 1.
2.) The product of 5 and 1/2 is less than 5, this is because you are multiplying 5 by a number less than one.
Step-by-step explanation:
If multiplied by a number less than one then it will be smaller than original
If multiplied by one will be the same as original
If multiplied by a number greater than one it will be greater than original
A map has a scale 1/2 in.= 60 mi. If two cities are 2 inches apart on the map, hoy many miles separate de cities?
Answers
Answer:
240 miles
Step-by-step explanation:
1/2 + 1/2 + 1/2 + 1/2 = 2
60 + 60 + 60 + 60 or 60 * 4 = 240
drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge when flat. Find the height of the suspension point of the chain, to the nearest tenth of a meter, and the measures of the acute angles the chain makes with the wall and the drawbridge, to the nearest degree.
Answers
Answer:
4.0 meters, ∠C = 39°, ∠A = 51°
Step-by-step explanation:
Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the Pythagorean Theorem to solve for the height of the chain:
[tex]a^{2} +b^{2} =c^{2}[/tex]
[tex](3.3)^{2} +b^{2} =(5.2)^{2}[/tex]
[tex]b^{2} =(5.2)^{2}-(3.3)^{2}[/tex]
[tex]b =\sqrt{(5.2)^{2}-(3.3)^{2}}[/tex]
[tex]b=4.0187...[/tex]
[tex]b=4.0 m[/tex]
Now, we can use the Law of Cosines to figure out one of the acute angles:
[tex]c^{2} =a^{2} +b^{2} -2ab(cos(C))[/tex]
[tex](3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))[/tex]
[tex]cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}[/tex]
[tex]C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})[/tex]
[tex]C=39.3915...[/tex]
∠C = 39°
And since we know that all angles in a triangle add up to 180°:
∠A + ∠B + ∠C = 180
∠A + 90 + 39 = 180
∠A = 180 - 90 - 39
∠A = 51°
However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the
drawing.
Train Car
10.8 cm
What is the actual length of the train car?
A.21.6 ft
B.27 ft
C.43.2 ft
D54 ft
Answers
Answer: c
Step-by-step explanation:
The required actual length of the train is given as 27 ft.
Given that,
Heather drew the scaled drawing of a train car shown below. She used the scale of 2 cm = 5 ft to complete the drawing.
The scale factor is defined as the ratio of the modified change in length to the original length.
here,
As given,
2 cm = 5 ft
1 cm = 5/2 ft
Tain car length = 10.8 m
Actual length = 10.8 × 5/2 = 27 ft
Thus, the required actual length of the train is given as 27 ft.
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PLEASR HELP THIS IS THE LAST QUESTION AND ITS DUR IN 4 MINUTES
Answers
Answer:
3x(3x-5)
Step-by-step explanation:
I can do this in my head but I hope it is right but if not I'm sorry
Answer:
- 3x ( x² - 4x + 5 )
Step-by-step explanation:
- 3x ( x² - 4x + 5 )
Help me please please
Answers
Answer:
a. 45 + 20x
30 + 26x
b. 2.5 hours
c. 95
Step-by-step explanation:
45 + 20x = 30 + 26x
subtract 30 from both sides of the equation
15 + 20x = 26x
subtract 20x from both sides of the equation
15 = 6x
divide 6x on both sides of the equation
2.5 = x
Solve for 3x^2-10x+8=0
(SHOW YOUR WORK)QUICKLY
Answers
Answer:
Step-by-step explanation:
Step 1: Factor left side of equation.
(3x−4)(x−2)=0
Step 2: Set factors equal to 0.
3x−4=0 or x−2=0
Answer:
x= 4 /3 or x=2
Answer:
5/3 +/- 1/3
or
x= 2
or
x= 1 /3
Step-by-step explanation:
plug all of the numbers into the formula attached,
the first coefficient is a, the second is b, and the last is c
So a=3 b=-10 and c=8
What is the range of the function y= 5-2x when the domain is {0,1,2,3}
Answers
Answer:
The range for the function y=5-2x is all real numbers, but the numbers corresponding the the domain values of 0, 1, 2, and 3, are 5, 3, 1, -1.
Step-by-step explanation:
What is the simplest form of the radical expression?
√2+√5/√2-√5
Answers
here u go...........
whats the domain of y=-3x+7?
Answers
All linear equations(unless they have restrictions) will have a domain that goes on forever in both directions of the x-axis
The value of a movie poster is increasing at a rate of 3.5% per
year. In 1990, the poster was worth $20.25. Find the value of the
poster in 2013.
Answers
Answer:
44.55
Step-by-step explanation:
I actually didn't get the right answer and I just edited it right now I'm sorry I dont have an explanation!
Find the area of the figure.
(Sides meet at right angles.)
3 ft
2 ft
2 ft
1 ft
5 ft
2 ft
2 ft
3 ft
Answers
The proper angle for a ladder is about 75 from the ground. Suppose you have a 6 foot ladder. How high
can it reach?
ht
Answers
Answer:
450
Step-by-step explanation:
75 x 6 is 450 so the answer is 450
A recipe for cookies calls for
cups of chocolate chips for every 3 dozen cookies made. How many cups of chocolate chips would be needed for 7 dozen cookies?
A.
B.
C.
D.
Answers
For 7 dozens cookies 3 1/2 cups needed.
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
For 3 dozen cookies = 1 1/2 cups = 3/2 cups
For 1 dozen cookies = 3/2 * 1/3 = 1/2 cups needed
So, for 7 dozen cookies = 1/2 * 7
= 3 1/2 cups needed
Hence, for 7 dozens cookies 3 1/2 cups needed.
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what is the solution to m/8 < 4
Answers
Answer:
m < 32
Step-by-step explanation:
m/8 < 4
m < 32
Answer:
m<32
Step-by-step explanation:
multiply both sides of the inequality by 8
[tex]8 \times \frac{m}{8} < 8 \times 4[/tex]
then, reduce the numbers with the GCF= 8
[tex]m < 8 \times 4[/tex]
wich set of numbers is areanged in decreasing order? I need help thanks
Answers
Answer:
Send a pic of the problem.
Step-by-step explanation:
On Old McDonald's Farm, there are 16 cows and 4 sheep in the first field. If this ratio is proportional, and there are 48 total sheep on the farm, how many cows does Old McDonald have? *
Answers
Answer:
192 cows
Step-by-step explanation:
16 cows : 4 sheep
? cows : 48 sheep
48 / 4 = 12
16 x 12 = 192
Answer:
192 Cows
Step-by-step explanation:
if the ratio is 1 sheep: 4 cows then by multiplying 48 by 4 you get a total of 192 cows
Ben bought a new computer for $1200. Each yedt, the value of the computer decreases
by 30% of the previous year's value. At this rate, what can Ben expect the approximate
value of the computer to be after 6 years?
$130
$360
$0.88
$141
Answers
Answer:
$141
Step-by-step explanation:
1200-(1200*30/100 )
and i did that six time each tume with the new numbers i got
what is 4.2 less than 7.6
Answers
Answer: 3.4
Step-by-step explanation: 6-2 is 4 and 7-4=3 therefore it’s 3.4
The solution is 3.4
The value of the equation 4.2 less than 7.6 is 3.4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is expressed as
A = 4.2 less than 7.6
Substituting the values in the equation , we get
A = 7.6 - 4.2 be equation (1)
On simplifying the equation , we get
The value of A = 7.6 - 4.2
The value of A = 3.4
Therefore , the value of A is 3.4
Hence , The value of the equation 4.2 less than 7.6 is 3.4
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Help meeeeeeeewee plsssssss
Answers
Answer:
D
Step-by-step explanation:
multiplying the day with 54 gives you its amount earned
Will give brainliest