Answers
===================================================
Explanation:
Let
x = the measure of angle 2y = the measure of angle 3The goal is to find y
For now, focus on the interior angles of triangle DEF. We have these three angles:
D = 90 (due to the square angle marker)E = angle 1 = 53F = angle 2 = xThose interior three angles add to 180. This is true for any triangle.
D+E+F = 180
90+53+x = 180
143+x = 180
x = 180-143
x = 37
angle 2 = 37 degrees
Now we can find y.
Focus on angles 2 and 3, which are x and y respectively. These two angles add to 180 because they form a straight line. Note: the triangle's angles summing to 180 is closely related to this idea where angle 2 and angle 3 are a linear pair.
So this means,
(angle2)+(angle3) = 180
x+y = 180
37+y = 180
y = 180-37
y = 143
angle 3 = 143 degrees
It's not a coincidence that we ended up with a previously calculated value of 143. It turns out that adding the remote interior angles D and E leads to the exterior angle EFG.
D+E = 90+53 = 143 = angle EFG
I'm using the remote interior angle theorem. Some textbooks may call this the exterior angle theorem. In my opinion, the phrasing "remote interior angle theorem" is more descriptive.
Related Questions
Natalie walked 3/5 mile in 1/2 hour how fast did she walk in miles perhour
Answers
Answer:
Speed = Distance / Time
Speed = 3/5 ÷ 1/2
Speed = 3/5 * 2
Speed = 6/5 mph or 1.2 mph.
Step-by-step explanation:
HOPE IT HELPS, PLS MARK IT AS THE BRAINLIEST AND PLS
6 x ? x 3 = 90 pls help I’m to lazy to do it
Answers
Step-by-step explanation:
let the unknown number be x
6 * x * 3 = 90
18 x = 90
x = 90/ 18
x = 5
Hope it will help :)
Answer: 5
Step-by-step explanation:
30 divided by 6 is 5, so 6 x 5 x 3=90
Find the percent change if the original is $300 and the new cost is $1,100?
Answers
The percentage change from $300 to $1,100 is 266.67% increase
How?
1,100 - 300 ÷ 300 = 2.6667
2.6667 x 100 = 266.67%
^this is how you find the percent in change
(You could have just asked me to show my work instead of reporting me- that was a bit uncalled for)
Answer: $266.667% change
Step-by-step explanation:
(V2 - V3) (1100 - 300) 800
_______ x100 = ________ x 100 = ____ x 100= $2.66667% = $266.667%
V1 300 300 x 100 increase or change
I need help please :( . Which equation best models the set of data ?
A. Y = -3/4 x
B. Y= 6x -3/4
C . Y= -6x + 3/4
D. Y= 3/4x -6
Answers
In a large urban high school, 68% of the students take public transportation to and from school. Annette takes a random sample of 75 students from this school. What is the probability that more than 70% of the students in the sample take public transportation to and from school?
0.356
0.371
0.488
0.644
Answers
Answer:
0.488
Step-by-step explanation:
Answer:
0.356
Step-by-step explanation:
took the quiz
two angles of an isosceles triangle are x and x+10.find two possible value of x
Answers
Recall two important facts:
- An isosceles triangle always has two identical angles
- The interior angles always add up to 180 degrees
Armed with this info, we can set up two different equations to solve for x, depending on which angle we treat as being one of the pair of identical angles.
If we assume that the identical angles are x, then:
180 = 2x + x + 10
170 = 3x
56[tex]\frac{2}{3}[/tex] = x
Alternately, we can assume that the identical angles are x+10. In this case:
180 = 2(x + 10) + x
180 = 2x + 20 + x
160 = 3x
53[tex]\frac{1}{3}[/tex] = x
An arc subtends an angle of 72 degree at the circumference of a circle of radius 5 cm. calculate the length of the arc in terms of pie
Answers
Hope you understand the solution. Call my attention if you need any help
What is the solution set of 6x2-24 = 0?
(-2.2
Answers
Answer:
x = { - 2, 2 }
Step-by-step explanation:
Given
6x² - 24 = 0 ( add 24 to both sides )
6x² = 24 ( divide both sides by 6 )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
solution set is { - 2, 2 }
A bouquet of flowers contains a total of 24 red and white roses. The number of red roses is 4 less than three times the number of white roses.
How many of each color rose are in the bouquet?
(with preferred work)
Answers
Answer:
White roses - 7
Red roses - 17
Step-by-step explanation:
Set up proportional equations
White roses = x
Red roses = 3x - 4
Set equal to 24
x + 3x - 4 = 24
4x - 4 = 24
4x = 28
x = 7
x is white roses, so there are 7
Plug x value into red rose equation
3(7)-4
21-4 = 17 red roses
Check
17+7 = 24
Find the slope of the line that passes through the two points below."
(7,-1) and (9,0)
Answers
Answer:
y = 1/2x – 9/2 or y = 0.5x – 4.5
Step-by-step explanation:
same thing just in different forms
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
what is the question...?
Step-by-step explanation:
Find the discount and sale price of a dresser whose original price is $280 and is discounted 15% off,
Answers
Answer:
Sale=238 Discount=42
Step-by-step explanation:
15% of 280 is 42...So 280 - 42 =238
The price of a pair of shoes increases from $65 to $81. What is the percent increase to the
nearest percent?
Answers
Answer:
Percent increase = 25%
Step-by-step explanation:
Given that:
Old price of shoes = $65
New price of shoes = $81
Difference = 81 - 65
Difference = 16
Percent increase = [tex]\frac{Difference}{Old\ price}*100[/tex]
Percent increase = [tex]\frac{16}{65}*100[/tex]
Percent increase = 0.246 * 100
Percent increase = 24.6%
Rounding off to nearest whole number
Increase = 25%
Hence,
Percent increase = 25%
Solve the inequality 14(x - 8) 28.
Answers
Answer:
392x−3136
Step-by-step explanation:
An algebra I student solved the following inequality.if their work is correct draw a smiley face.if not, circle the error and explain your reasoning
Answers
Answer:
step 3
Step-by-step explanation:
^ i’m pretty sure that’s right
Describe the effect of reflecting EFGH over the x-axis to E’F’G’H’
Answers
Answer:
the sign of each y value changed
Step-by-step explanation:
On Monday, 243 students went on a field trip to the zoo. All 5 buses were filled and 8 students had to ride in a car. How many students were on each bus?
Answers
Answer:
47 students in each bus
Step-by-step explanation:
243-8= 235
235/5=47
solve the following equation by the trial and error method...
plzzzz fast ......
Answers
Answer:
the required answers are :
a) x = 4
b) x = 3
c) a = 7
d) x = -15
Step-by-step explanation:
the whole process is given in the solution in attached picture. okay
2. Simplify the following fraction:
*
23
4
Answers
There are ten centimeters in one decimeter. How many decimeters are in thirty seven centimeters?
Answers
Answer: 3.7
Step-by-step explanation: In this case you're just multiplying by (10) usually this is done to make a decimal to a whole number
There are ten centimeters in one decimeter. How many decimeters are in thirty seven centimeters?
Divide 37/10=3.7
Another way is 3. 7*10=37
Find the distance between the ordered pairs.
A (-1, 7) , B (5, 7)
Answers
PLZZZ HELP AND IF CORRECT I WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
The prime numbers is
A. 17
Answer:
the prime number on the thing is 17
Please help me all questions. Thank you very much :)
Answers
Answer:
a, c, d
Step-by-step explanation:
[tex]6:8 = 3:4[/tex]
[tex]9:15 = 3:5[/tex]
[tex]12:16 = 3:4[/tex]
[tex]15:20 = 3:4[/tex]
HELP ME!!!!!!!! Which choice represents the fraction below as a single exponential expression?
Answers
Answer:
5²
Step-by-step explanation:
hsjsjshsbsnbsbwbdbsbsb
whos interested in anime, if u are i got suggestions. oh and can i get an answer for this haha
Evaluate this power with a base that is a negative fraction.
(−1/4) ²
What is the value of the power?
- 2/4
- 1/16
1/16
1/8
Answers
Answer:
1/16
When you calculate they both get the answer 0.0625
Writing each fraction of mixed number by a decimal.
Problem: What is 0.23 ?
Answers
Find the greatest common factor 15y^2 and 6b^3
Answers
Hey there!
• 15y²: 1, 3, 5, 15, y, y
• 6b³: 1, 2, 3, 6, b, b, b
• They both share 1 & 3... the greatest out of those two is/are: 3
• Answer: 3 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
If the simple interest on $6,000 for 6 years is $1,800, then what is the interest rate?
Answers
Answer:
10%
Step-by-step explanation:
1800/3 = 600
600/6000 = 10%
An estimate of the height, H metres, of a tall building can be found
using the formula
H = 3f + 15
where the building is f floors high.
A building is 85 floors high.
The real height of the building is 260m.
Work out the percentage error when estimating the height of this building using
the formula given.
Answers
Given that,
An estimate of the height, H metres, of a tall building can be found using the formula :
H = 3f + 15
where the building is f floors high.
f = 85
The real height of the building is 260 m.
To find,
The percentage error.
Solution,
We have,
H = 3f + 15
Put f = 85 in the above formula
H = 3(85) + 15
H = 270 m
Error,
[tex]E=\dfrac{270-260}{260}\times 100\\\\=3.84\%[/tex]
So, the required error is 3.84%.
Which speed is the fastest?
A: 4 miles in 1/3
B: 1/3 mile in 4 hours
C: 1/2 mile in 3 hours
D: 2 miles in 1 hour
Answers
1/3 of a mile is 4 hours so a full mile would be 3 times 4 which is 12 so every 12 hours is 1 mile.
1/2 a mile takes 3 hours and 2 times 3 is 6 so every 6 hours is 1 mile.
A. 5 minutes per mile
B. 12 hours per mile
C. 6 hours per mile
The correct choice is A.
I hope this helped you