What is the measure of Angle D F E?
not drawn to scale
38 degrees
52 degrees
118 degrees
142 degrees
Answers
Given:
Given that the measure of the exterior angle F is 142°
We need to determine the measure of ∠DFE
Measure of ∠DFE:
The ∠DFE and the exterior angle F are linear pairs.
Thus, the linear pair of angles add up to 180°
Hence, we have;
[tex]\angle DFE+142^{\circ}=180^{\circ}[/tex]
Subtracting both sides of the equation by 142, we get;
[tex]\angle DFE=38^{\circ}[/tex]
Hence, the measure of ∠DFE is 38°
Thus, Option a is the correct answer.
Related Questions
1.
Mrs. Henderson sells houses. She gets a
5% commission on all sales. How much
commission would she make on a house
that sells for $180,000?
a. $1800
b. $9000
c. $18,000
d. $90,000
Answers
Answer:
b. $9000
Step-by-step explanation:
Quick way of doing this:
10% is one-tenth. 10% of $180,000 is $18,000.
5% is half of 10%, so it's half of $18,000.
Answer: b. $9000
Conventional way of doing this:
To find a percent of a number, multiply the percent by the number. To change the percent to a decimal, move the decimal point of the percent two places left.
5% of $180,000 = 5% * $180,000 = 0.05 * $180,000 = $9,000
Answer: c. $9000
Mrs. Henderson's commission for selling a house worth $180,000 is $9000.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Mrs. Henderson sells houses. She gets a 5% commission on all sales.
∴ His commission for selling a house worth $180,000 is 5% of $180,000 which is,
=(5/100)×180000.
= $9000.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ2
Compare 2.95 to 2.949
Answers
Answer:
2.95 is bigger
Step-by-step explanation:
Always remember that each place after the integer in a decimal spot ends are all 0's.
This helps when we are comparing decimals.
In that case we really have:
2.9500 and 2.9490
Since 9500 is bigger than 9490, we can see that the one's digits are the same.
Since they are, 2.95 is the bigger number.
Dales dog eats 0.4 kilograms of dog food each day. How much food will Dale’s dog eat in 7 days
Answers
Answer: 2.8 kilograms
Step-by-step explanation: To find the how much food Dale's dog eats in a week, multiply 0.4*7. 0.4*7=2.8.
The answer is 2.8.
Find the value of x then find the measure of each labeled angle
Answers
Answer:
The answer is the last choice, x=70 and the labeled angles are 110 and 70
tell me if there's is a outlier in these numbers please
20,24,58,59,63,63,65,66
Answers
Answer:
the outlier is 20 and 24
Step-by-step explanation: An outlier, in mathematics, statistics and information technology, is a specific data point that falls outside the range of probability for a data set. In this Case 20 and 24 are outliers because they are not in the range of 58, 59, 63, 63, 65, 66. :) your welcome.
Line C passes through the points (-3,-6) and (-1,-12). What is the slooe of the line perpendicular to the line C
Answers
Answer:
the answer is -1/3
Step-by-step explanation:
here is your step by step solution
Answer:
[tex]- \frac{1}{3} [/tex]
Step-by-step explanation:
The product of the gradients of perpendicular lines is -1.
Let the slope of the line perpendicular to line C be x.
(slope of Line C)(x)= -1
x= -1 ÷ (slope of Line C)
Let's find the slope of line C using the gradient formula.
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Gradient of Line C
[tex] = \frac{ - 6 - ( - 12)}{ - 3 - ( - 1)} \\ = \frac{ - 6 + 12}{ - 3 + 1} \\ = \frac{-6}{ - 2} \\ = 3[/tex]
Thus substituting gradient of Line C= 3,
x= -1÷ (3)
x= [tex]- \frac{1}{3} [/tex]
How is 10,021 divisible by 11
Answers
Answer:
See below
Step-by-step explanation:
1-0+0-2+1=0, so since 0/11=0, it's divisible by 11
The rule for divisibility by 11 is that you subtract then add then subtract then add and so on, and if you get a number divisible by 11 or equal to 0, then it's divisible by 11.
Hope that made sense.
Answer:
=911 i think that its only dividable and you have to use your mind to do it
answer it is 911
When you are multiplying, does the order of the factor matters??
Answers
Answer:
no
Step-by-step explanation:
communitive propery unless there are ( )
If it is only multiplication, no it does not, but you should always go from left to right.
45 books represent 5% of total books at library 2.
Answers
PLEASE ANSWER I NEED HELP WITH NUMBER 6 AND 7!!
Answers
Question seven is option a
Example 1: Find the lateral area of the regular rectangular pyramid.
5 cm
Step 1: Identify the base. Draw it to help find the perimeter of it.
2.5 cm
"regular rectangular" means
all sides are
P= 4(2.5cm) =
cm
2.5 cm
Step 2: Identify the slant height of the pyramid, height of the lateral face of the pyramid.
I=
cm
Step 3: Substitute "P" and "l' into the lateral area formula.
L=P7
Answers
Answer:
the answer should be 2.5
To find the lateral area of the given rectangular pyramid, calculate the perimeter of the base, determine the slant height using the Pythagorean theorem, and then apply the lateral area formula. The lateral area is approximately 45.4 cm².
To find the lateral area of a regular rectangular pyramid with base edge length 2.5 cm and height 9 cm, follow these steps:
Identify the base: The base is a square with each side measuring 2.5 cm. The perimeter (P) of the base can be calculated as follows:P = 4 × 2.5 cm = 10 cmIdentify the slant height (l): Use the Pythagorean theorem to find the slant height. Given that the height of the pyramid is 9 cm, and half of the base edge length is 1.25 cm, we can use:
l² = 9² + 1.25²
l² = 81 + 1.5625
l = √82.5625
l ≈ 9.08 cmSubstitute P and l into the lateral area formula: The lateral area (L) formula for a pyramid is:
L = ½ × P × l
L = ½ × 10 cm × 9.08 cm
L ≈ 45.4 cm²
Thus, the lateral area of the pyramid is approximately 45.4 cm².
PLEASE HELP ME ASAP WILL NAME YOU BRAINIEST
Answers
Answer:
A) resturant is at (-4,5)
A)the equation is: [tex](x-0)^2+(y-0)^2=6^2[/tex]
B) Consuela can get free delivery
Step-by-step explanation:
see picture
What is the range of the data represented in the box plot below?
Group of answer choices
10
20
30
15
Answers
Answer:
30
Step-by-step explanation:
40- 10 equals 30
the range is the maximum divided by the minimum.
What is the measure of ABC?
A. 45°
O B. 60°
O c. 120
O D. 75
Answers
Answer:
It is gonna be B not very sure
Answer:
b.60
Step-by-step explanation:
The polynomial p(x) = x3 + 3x2 - 4 has a known factor of (1 - 1).
Rewrite p(x) as a product of linear factors.
Answers
Answer:
34
Step-by-step explanation:
here are the scores that Jenna has received on her seven quizzes what is the upper quartile
Answers
What is X equal to in the equation
Answers
Answer:
x=10
Step-by-step explanation:
8x+30=110
8x+30-30=110-30
8x=80
8x/8=80/8
x=10
hope this helps
please mark me brainliest it would help(✿◠‿◠)
Answer:
10 =8
Step-by-step explanation:
The two angles are vertical angles and we know that vertical angles are equal
110 = 8x +30
Subtract 30 from each side
110-30 = 8x+30-30
80 = 8x
Divide each side by 8
80/8 = 8x/8
10 =8
what is a parabola in mathamatics
Answers
Answer:
a parabola is a curve often resembling a U and follows a mathematical equation
Step-by-step explanation:
for example:
Answer:
In mathematics, a parabola is a plane curve
Step-by-step explanation:
Divide and simplify your answer
2 1/2 divided by 3 3/4
Answers
Answer:
2/3
Step-by-step explanation:
Calculators help :)
To divide 2 1/2 by 3 3/4, convert the mixed numbers to improper fractions, change division to multiplication of the inverse, multiply, and simplify the result to 2/3.
To divide and simplify the expression 2 1/2 divided by 3 3/4, we begin by converting the mixed numbers into improper fractions. The mixed number 2 1/2 becomes 5/2 (2 times 2 + 1), and 3 3/4 becomes 15/4 (3 times 4 + 3).
Next, we use the rule for dividing fractions: invert the second fraction and change the division to multiplication. Therefore, the division becomes 5/2 times 4/15. We can now multiply the numerators together and the denominators together, resulting in 20/30.
To simplify, we can reduce the fraction by dividing both the numerator and the denominator by the greatest common factor, which is 10. Simplifying gives us 2/3, the final answer.
inverse cosine is used to find to find a given angle measure when we know the ________ and the ______.
Answers
Answer: adjacent and hypotenuse
Step-by-step explanation: Cos theta is adjacent/Hypotenuse
Final answer:
Inverse cosine is used to find an angle measure when we know the length of the adjacent side and the hypotenuse in a right triangle.
Explanation:
The inverse cosine function, also known as arccosine, is used to find a given angle measure when we know the length of the side adjacent to the angle and the length of the hypotenuse of a right triangle. The cosine of an angle in a right triangle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. By using the inverse cosine function, we can find the angle whose cosine is the given ratio. This is particularly useful in trigonometry for solving right triangles or when dealing with any scenario where angle and side lengths are related through the cosine ratio.
In mathematical terms, if we have a right triangle with an angle labeled as θ (theta), and we know the lengths of the side adjacent to θ (adjacent) and the hypotenuse (hypotenuse), the cosine of θ is given by-
cos(θ) = adjacent / hypotenuse
To find the angle measure θ based on the ratio of these two sides, we would compute-
θ = arc cos(adjacent / hypotenuse).
the length of AB ( the minor arc) is 20cm. what is the circumference of C? 10
A)200 cm
B)56 cm
C)720 cm
D)72 cm
E)360 cm
F)12 cm
Answers
Answer:
c. 720 cm
Step-by-step explanation:
Which angles are vertical angles and, therefore, congruent?
3 lines intersect to form 8 angles. From top left, clockwise, the angles are A, B, C, D, H, G, F, E.
Angle A and Angle D
Angle A and Angle G
Angle A and Angle E
Angle A and Angle F
Answers
Answer:
D
Step-by-step explanation:
Answer:
The answer is D: a and f
Step-by-step explanation:
Just did on edge :)
Factor the expression completely.
[tex] {8x}^{2} - 18[/tex]
O A. 2(2x - 3)(2x - 3)
O B. 2(42 - 9)
O C. 2(2x+3)(2x-3)
O D. 2(4x + 3)(x - 3)
Answers
Answer:
C. 2(2x + 3)(2x - 3)
Step-by-step explanation:
[tex]8 {x}^{2} - 18 \\ = 2 \times 4 {x}^{2} - 2 \times 9 \\ = 2(4 {x}^{2} - 9) \\ = 2 \{( {2x})^{2} - ( {3)}^{2} \} \\ = 2(2x + 3)(2x - 3) \\ [/tex]
Final answer:
The expression 8x² - 18 is factored by first taking out the common factor of 2, and then applying the difference of squares formula to get the fully factored form, 2(2x + 3)(2x - 3). Option C is accurate.
Explanation:
To factor the expression 8x² - 18, we need to first take out the common factor. Here, we can see that both terms are multiples of 2. Thus, we can factor out a 2, which gives us:
2(4x² - 9)
Now, we recognize that the expression inside the parentheses is a difference of squares because 4x² is (2x)² and 9 is 32. A difference of squares can be factored into:
(a² - b²) = (a + b)(a - b)
Applying this to our expression, we get:
2((2x) + 3)((2x) - 3)
Hence, the fully factored form of the expression 8x² - 18 is:
2(2x + 3)(2x - 3) (Option C)
Helpppp y’all I need it quick ❗️
Answers
Explain : bc the other one is 24 and the half of 24 is 12 ♀️
Answer:
14
Step-by-step explanation:
You fins the measure of angle C, and get 180-(118+22) = 40 degrees
You use law of sines, and get:
24/(sin40) = AC/(sin22)
Multiply both sides by sin(22)
24sin(22)/sin(40)=AC
Plug into a calculator, and get: 13.9868256738, which rounds to 14
If the discriminate is less than zero, the quadratic will have:
A) one solution
B) no real solution
C) 2 Solutions
D) infinity many solutions
Answers
If discriminate is less than zero, the quadratic will have no real solution.
Answer: B
there is no solution to the equation cscx=-1 . True or False
Answers
Answer:
false
Step-by-step explanation:
this has one answer and that would be 270 degrees.
Using both the rotation matrices earlier in this lesson and your matrix calculator, find each determinant.
det= [ -1 0
0 -1 ]
det= [ 0 1
-1 0 ]
Answers
Answer:
both are one
Answer:
det = 1 and det = 1
Step-by-step explanation:
just took the lesson on ed-genuity, these are both right :)
Over 5 days 5,385 people went to Chick-Fil-A. If the same amount of people went each day, how many people went on one day?
Answers
Answer:
1077
Step-by-step explanation:
Samuel and Christopher go to the movie theater and purchase refreshments for their friends.
Samuel spends a total of $34.00 on 6 bags of popcorn and 4 drinks.
Christopher spends a total of $66.25 on 12 bags of popcorn and 7 drinks.
Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink.
Using these equations, determine and state the price of a drink, to the nearest cent.
Answers
Answer:
Drink=5.75
Popcorn=1.83
Percentage for drink=75.9%
Step-by-step explanation
Let the popcorn be p
the drinks be d
6p+4d=34....(1)
12p+7d=66.25...(2)
Multiply (1) by 2
12p+8d=72....(3)
Substrate (2) from (3)
d=5.75
Substitute the value for d into (1)
6p+4(5.75)=34
6p+23=34
Substrate 23 from both sides
6p=11
Divide both sides by 6
p=1.83
So for one drink=$5.75
For one popcorn=$1.83
To determine the% for drink
5.75+1.83=7.58
5.75/7.58 ×100
575/7.58
75.858~75.9%
The percentage for drink is 75.9%
EASY WAY TO GET POINTS!!!!
Answers
Answer:
Step-by-step explanation:
3ft x 5 ft x 6 ft
15 x 6 = 90 cubic feet
Step-by-step explanation:
To get the volume, you have to do LxWxH so its 3x5x6=90
so its 90 cubic feet.