Find the Measure of the missing angles.
3
2
49°
118°
1
73°
Measure angle 1 =
o
Measure angle 2=
o
Measure angle 3=
Answers
Answer:
m∠1 = 62°
m∠2 = 45°
m∠3 = 24°
Step-by-step explanation:
The measure of the exterior angle of a triangle is equal to the sum of the remote interior angles.
The measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.
From the given figure, measure of angles are 118°, 73° and 49°.
What is exterior angle theorem?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
From the given figure, 118° + ∠1 = 180°
⇒ ∠1 = 180° - 118°
⇒ ∠1 = 62°
Now, 118° = 73° + ∠2
⇒ ∠2 = 118° - 73°
⇒ ∠2 = 45°
Using angle sum property of a triangle
62° + 49° + (∠2+∠3) = 180°
⇒ 111° + (∠2+∠3) = 180°
⇒ (∠2+∠3) = 180°- 111°
⇒ (∠2+∠3) = 69°
⇒ 45° +∠3 = 69°
⇒ ∠3 = 24°
Therefore, the measure of angles ∠1, ∠2 and ∠3 are 62°, 45° and 24° respectively.
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Related Questions
3. What is the value of 42 – 2(3 • 5+ 1)?
Answers
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Multiply the numbers
42−2(15+1)
Add the numbers
42−2(16)
Multiply the numbers
42−32
Subtract the numbers
10
Find the slope, m of the line that passes through the points (-1, 6) and (3, 8).
Enter your answer as a fraction in simplest form in the box.
m =
Answers
Answer: m = ½
.........................
Answer:
The answer is -1/2
Step-by-step explanation:
The equation for slope is rise over run (change in y divided by change in x). Therefore, it would be 2/-4. This simplifies to -1/2
Write the expanded form of the expression.
y(0.75+4)
Answers
Answer:
25
Step-by-step explanation:
Answer:4.75y
Step-by-step explanation:
m - 6 > -9
Solve the inequality
Answers
Answer:
m> -3
Step-by-step explanation:
m-6 > - 9
you use inverse opperations and you add six to the other side.
m-6 > - 9
+6 +6
m > -3
el largo del parque que esta cerca de tu casa mide el doble del ancho. el terreno tiene 1250m2 de area ¿cuanto es el ancho y cuánto mide de largo?
Ayúdenme plis :c
Answers
Answer:
ninguna pista
Step-by-step explanation:
eso es muy duro lo siento
Is 6.35 greater than 6.7
Answers
Answer:
NO
Step-by-step explanation:
always look at the number after point
Answer:
No
Step-by-step explanation:
If the box holds 24 of these sugar cubes, what is
the total volume of the box?
Answers
Answer:
3in^cubed
Step-by-step explanation:
Answer:
3in cubed
Step-by-step explanation:
For the function f(x)=x2−8x+8, use f(x)=−4 to find two points on the graph of the function.
Answers
Answer:
56
Step-by-step explanation:
f (-4)=(-4^2)-8 (-4)+8
f(-4)=54
The two points on the graph of the function are (2, -4) and (6, -4).
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
A quadratic function,
f(x) = x²−8x+8.
When f(x) = -4
That means,
quadratic equation,
x²−8x+8 = -4
x²−8x+12 = 0
x²−6x -2x + 12 = 0
x(x - 6) - 2(x - 6) = 0
x = 2 and x = 6
Therefore, the two points are (2, -4) and (6, -4).
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Which expression represents the phrase: “3 fewer than a number, p”? *
a) 3 – p
b) p / 3
c) 3 / p
d) p – 3
Explain pls and ty < 3
Answers
d) p - 3
3 fewer than menas you need to subtract 3
The expression represents the phrase “3 fewer than a number, p” is (p-3).
GivenExpression; the phrase: “3 fewer than a number, p”
What is the phrase?A small group of words standing together as a conceptual unit, typically forming a component of a clause:
The given number is p which is smaller than a number which is 3.
Expression; the phrase: “3 fewer than a number, p”
Then,
The expression represents the phrase is;
[tex]\rm =P-3[/tex]
Hence, the expression represents the phrase “3 fewer than a number, p” is (p-3).
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3.12 in standard form
Answers
Now try to use Scientific Notation yourself:
Scientific Notation: 3.1416 x 10^2
answer : 314.16
Explain what this student is doing to go from x^2−6x−3= 0 to (x−3)^2 =12
Answers
The student is solving the quadratic equation by completing the square.
At its highest point, the elevation of a county is feet above sea level. At its lowest point, the elevation of the county is feet below sea level. Answer parts a through c.
Answers
Answer: There is no photo, I cannot see
The length of a rectangular garden is 9 feet longer than its width. If the garden' perimeter is 210 feet, what is the area of the garden in square feet?
Answers
Answer:
2736 square feet
Step-by-step explanation:210 minus 18(9 times 2 )equals 192 then 192 divided by 4 (4 because 4 side )equals 48 (48 is the width) to get the length 48 plus 9 equals 57 (57 is the length) to get the area multiply length times width so 57 times 48 equals 2736 square feet
What is the equivalent of 7(7q+5)
Answers
Answer:
14q + 35
Step-by-step explanation:
Step 1: Write expression
7(7q + 5)
Step 2: Distribute 7 to each term
14q + 35
You deposit $800 in an account that earns simple interest at an annual rate of 5%. How many years must you leave the money in the account to earn $100 in interest?
Answer value
Answers
Answer:
yduhegeggegeheygegeveheyegeveheuegeveve
Step-by-step explanation:
your very welcome
Keith Hernandez has asked Jerry and Kramer to help him move into a new apartment on Sunday morning. He has asked them both in case one of them does not show up. From past experience, Keith knows that there is a 41% chance that Jerry will not show up and a 31% chance that Kramer will not show up. Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
Probability
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability
Answers
Answer:
a. 0.41
b. 0.87
c. 0.13
Step-by-step explanation:
From the above question:
We are told that:
Probability that Jerry will not show up = 41% = 0.41
Probability that Jerry will show up =
100 - 41 = 59 = 0.59
Probability that Kramer will not show up = 31% = 0.31
Probability that Kramer will show up
= 100 - 31 = 69% = 0.69
Even though Jerry and Kramer know each other, their decisions can be assumed to be independent.
a. What is the probability that both Jerry and Kramer will show up? (Round your answer to 2 decimal places.)
= P(A) × P(B)
= Probability the Jerry will show up × Probability that Kramer will show up
= 0.69 × 0.59
= 0.4071
≈ 2 decimal places = 0.41
b. What is the probability that at least one of them will show up? (Round your answer to 2 decimal places.)
Probability = 1 - the probability that both Jerry and Kramer will not show up
= 1 - (0.41 × 0.31)
= 1 - 0.1271
= 0.8729
Approximately to 2 decimal places = 0.87
c. What is the probability that neither Jerry nor Kramer will show up? (Round your answer to 2 decimal places.)
Probability = Probability the Jerry will not show up × Probability that Kramer will not show up
= 0.41 × 0.31
= 0.1271
To 2 decimal places = 0.13
Which type of data is most appropriate to display in the data below
Answers
Sanjay’s present age is ‘y’ years. Form an algebraic expression for:
a)Sanjay’s age 7 years from now
b)Sanjay’s brother’s age is 4 years less than Sanjay’s presentage
c)Sanjay’s mother’s age is 3 times that of Sanjay’spresentage.
d)Sanjay’s grandfather’s age is 30years more than Sanjay’s mother’sage.
e)Sanjay’s father’s age is 8 years more than 6 times Sanjay’s age.
Answers
Answer:
a. y + 7
b. y - 4
c. y times 3 or 3y
d. 3y + 30
e. 6y + 8
Step-by-step explanation:
Algebraic expressions don't need to be a complete equation.
Nick says that the number 751 rounded to the nearest hundred is 750.
Explain Nicks error and the correct way to round to the nearest hundred. Find the correct rounded number.
Answers
Answer:
800
Step-by-step explanation:
he probably didn't label the numbers from ones to hundred or maybe he rounded off to the nearest 50 Ct maybe
Dylan took an applicant-paid job through an employment agency. The job pays $395 per week. Dylan must pay a fee to the agency. The fee is 20% of his first 4 weeks pay. How much does Dylan owe the employment agency?
Answers
Answer:
Dylan owed a $1,264 fee, and earned $316
Step-by-step explanation:
First find out how much money he gets in 4 weeks without the fee
395 times 4 = $1,580
Then multiply 1,580 by the .2 percent he owes the eployment agency
$316
(He gets $316 for working for 4 weeks minus the fee) Subtract the payment without the fee by the payment with the fee to find out how much the fee was.
Dylan owe the employment agency $316
First we need to calculate the amount that Dylan will earn for the first 4 weeks. This will be:
= Weekly earnings × Number of weeks
= $395 × 4
= $1580
Since Dylan pays 20% to the employment agency, then the amount owed will be:
= 20% × $1580
= 0.2 × $1580
= $316
In conclusion, Dylan owe the employment agency $316.
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If a+b>a−b, which of the following must be true?
(A) a>b
(B) a=b
(C) a 0
(E) b > 0
Answers
Hi
a+b > a-b
<=> a+b-a = b > a-b-a=-b ** subtract a **
<=> b+b > 0 ** add b **
<=> 2b > 0 ** divide by 2 **
<=> b > 0
so (E) is the right answer
Thanks
Can someone please help me, ty!! (Will mark brainliest)
Answers
What is the greatest integer? [In picture]
Answers
3+(-h)+(-4)where h = -7.
Answers
Answer:
6
Step-by-step explanation:
3+(-h)+(-4)
Let h = -7
3+(- -7)+(-4)
3+(7)+(-4)
10 -4
6
In AIJK, i = 850 inches, j = 250 inches and ZK=80°. Find the length of k, to the
nearest inch
Answers
Answer:
843
Step-by-step explanation:
If cx - d = f, what is an equivalent equation solved for X?
Answers
Answer:
(f+d)/c
Step-by-step explanation:
First get rid of -d on the left side by adding d to both sides
cx - d = f --> cx = f + d
Then remove c from the left side by dividing both sides by c.
cx = f + d --> x = (f + d)/c
15/4 divided by -5/8
Answers
Answer:
-6
Step-by-step explanation:
Answer:
-6/1 or just -6
Step-by-step explanation:
15/4 ÷ (-5/8) is -6/1 .
Find the reciprocal of the divisor
Reciprocal of (-5/8) : (-8/5)
Now, multiply it with the dividend
So, 15/4 ÷ (-5/8) = 15/4 × (-8/5)
= 15 × (-8) = -120
4 × (-5) = -20
After reducing the fraction, the answer is -6/1 or just -6.
Lisa paid 45.30 for 15.9 gallons of gasoline.what was the cost per gallon, rounded to the nearest hundreath
Answers
Answer:
About $2.85 per gallon
Step-by-step explanation:
We can set up a proportion [tex]\frac{45.3}{15.9}[/tex]=[tex]\frac{x}{1}[/tex] we can then cross multiply, getting 15.9x=45.3. When you divide you get about $2.85
1.5 lbs of gum balls I want to buy it’s 3.99 per pound
Answers
Answer:
$5.99 for 1.5 lbs of gumballs
Step-by-step explanation:
You want to buy One and a half pounds of gumballs for $3.99 per pound. It is 3.99 for one pound of gumballs, so the price for half a pound of gumballs is half of that price.
3.99 / 2 = 1.995
Then add the price of 1 pound
3.99 + 1.995 = 5.985
Then you can round that up to 5.99
Every chord is NOT diameter. But every diameter is a chord.” Do you agree or disagree with the statement? Justify.
Answers
Answer:
Yes
Step-by-step explanation:
The chord is a diameter only if it passes through the center of the circle. And a diameter is a chord because it goes from on point on the circle to another in a straight line.