In the figure shown, what is the measure of angle x?
Triangle ABC has measure of angle BAC equal to 40 degrees and the measure of angle ABC is equal to 70 degrees. The side BC of the triangle is extended till D. The angle ACD is labeled as x.
100 degrees
110 degrees
120 degrees
140 degrees
Answers
➾Firstly, we will find the measure of [tex]\angle[/tex]ACB.
We know that,
Sum of all interior angles of a triangle = 180°.
[tex]\rightarrow[/tex][tex]\angle[/tex]BAC + [tex]\angle[/tex]ABC + [tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 40°+70°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] 110°+[tex]\angle[/tex]ACB = 180°
[tex]\rightarrow[/tex] [tex]\angle[/tex]ACB = 180°-110°
[tex]\rightarrow[/tex][tex]\angle[/tex]ACB = 70°
So, the measure of [tex]\angle[/tex]ACB = 70°.
➾ Side BC of the triangle is extended till D. So, we have to find the measure of [tex]\angle[/tex] ACD.
As we know that,
Sum of any two or more angles that lie on a straight line = 180°.
So, [tex]\sf\angle{ACB}[/tex]+[tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex] 70° + [tex]\sf\angle{ACD}[/tex] = 180°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 180°-70°
[tex]\rightarrow[/tex][tex]\sf\angle{ACD}[/tex] = 110°.
Therefore, measure of [tex]\sf\angle{ACD}[/tex] = 110°.
____________________________
Hope it helps you:)
Related Questions
A spinner is divided into 5 sections of equal area, with numbers 1, 3, 5, 7, and 9 in it. What is the probability of the spinner landing on 7?
Answers
Step-by-step explanation:
You can only get 5 numbers which are : 1, 3, 5, 7, 9.
There is only one occurrence of the number 7. To get the probability of the spinner landing on 7 is given by the occurence of a certain object (7 in this case) divide by the total number of objects.
Answer:
1/5(1 over 5)
Step-by-step explanation:
out of the 5 numbers
u can land on 7 one time
find 60% of 40 gallons.
Answers
Hey there!
60% of 40
= 60% * 40
= 60/100 * 40
= 60 ÷ 20 / 100 ÷ 20 * 40
= 3/5 * 40
= 3/5 * 40/1
= 3(40) / 5(1)
= 120 / 5
= 120 ÷ 5 / 5 ÷ 5
= 24/1
= 24 ÷ 1
= 24
Therefore, your answer is: 24
Good luck on assignment & your day day!
~Amphitrite1040:)
. PLEASE THIS IS A BIG TEST HELP FAST
Identify the correct measure of the pen, to the nearest 1/8 inch.
Answers
brainliest and 50 points
find the area of the polygon
A) 76.16m
B) 37.08m
C) 30.58
D) 19m
Answers
Answer:
38.08 m²
Step-by-step explanation:
Given:
Height = 5.6 mParallel side (1): 10.8 metersParallel side (2): 2.8 metersFormula:
[tex]\text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height}[/tex]
Substitute the measures in the formula:[tex]\implies \text{Area of trapezium} = \dfrac{\text{Sum of parallel sides}}{2} \times \text{Height} \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{10.8 + 2.8}}{2} \times 5.6[/tex]
Simplify the equation as needed:[tex]\\\\\\\implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \dfrac{\text{13.6}}{2} \times 5.6 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = {\text{13.6}} \times 2.8 \\\\\\ \implies \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = \boxed{38.08 \ \text{m}^{2}}[/tex]
The measures of the bases of a trapezoid are 14 and 20. What is the measure of the median of the trapezoid?
Answers
The median of the trapezoid is = 17
calculation of the median of a trapezoidA trapezoid is a quadrilateral with one pair of opposite sides parallel. It has parallel sides which are known as the bases.
The base of the trapezoid(B1) =14
The base of the trapezoid (B2) = 20
To calculate the median = half the sum of the base of the trapezoid given.
Therefore,
14+20/2
34/2= 17
Therefore, the median of the trapezoid is = 17
Learn more about the trapezoid here:
https://brainly.com/question/1410008
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
60 sq m
Step-by-step explanation:
Area of the figure
= Area of top rectangle + Are of the bottom rectangle
= 5*3 + 5*(3+3+3)
= 15 + 5*9
= 15 + 45
= 60 sq m
Answer:
60 m²
Step-by-step explanation:
Area of the figure
= Top rectangle vertical + Bottom rectangle horizontal
= 3 x 5 + 5 x 9
= 15 + 45
= 60 m²
Please answer the question
Answers
Answer:
a = 104
Step-by-step explanation:
126 + 26 = 152
360 - 152 = 208
208 / 2 = 104
104 = a
Hope this helps :)
(If you need the explanation in words just let me know)
Step-by-step explanation:
Let's find
add up
a+a+26+126=3602a+152=3602a=360-1522a=208a=104Find the volume of the cylinder. Explain or show your reasoning. All measurements are in centimeters
Answers
Step-by-step explanation:
height (h) = 8cm
radius (r) = 5cm
volume of cylinder (v) = [tex]\pi[/tex]r^2h
= 22/7 * (5)^2 * 8
= 628.571cm^3
I NEED THIS RIGHT NOW
Answers
Answer:
E
Step-by-step explanation:
Answer:
E
Step-by-step explanation:
the reason is, for a direct relation between x and z we have too little information.
z could be huge, much, much bigger than y and x, or just bigger by 1 than y.
so, assume e.g. the following 2 scenarios
z = 6
y = 5
x = 4
and
z = 600
y = 26
x = 3
A
x + y > z
is true for the first scenario, but not for the second. so, it is not always true.
B
z - x < z - y
no you subtract something smaller, so the result is bigger. this is not true for any of the scenarios.
C
xz > yz
no, z is the same part in both sides, and when it gets multiplied by something smaller, the result is smaller. this is not true for any of the scenarios.
D
z/x < z/y
no, again z is the same part in both sides, and when it gets divided by something smaller, the result is bigger. this is not true for any of the scenarios.
E
yz > xy
in this case y is the same part on both sides. when it gets multiplied by something bigger, the result will be bigger. so, this is true in all cases.
Yo I need to bring up my math grade bad so
4x-5y>20
(please show it graphed already :D
Answers
Here is how it is graphed:
Find the slope and y intercept
Answers
Answer:
find the angle of the 90 and divide by 5
Step-by-step explanation:
Does sin, cos, tan work for all triangles?
Answers
Answer:
No
Step-by-step explanation:
SOH CAH TOA, or sin cos tan, only works on right triangles.
The copy machine at the library made a copy of Leslie's 3-page essay in just 1/10 of a minute. What is the speed of the copy machine?
Answers
Answer:
30 pages
Step-by-step explanation:
https://brainly.com/question/17253194
Speed is the change in distance of a body with respect to time.
Speed = Distance/Time
If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs
To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).
If 3 page essay = 6secs
x page essay = 60 secs
cross multiply
3*60 = 6x
180 = 6x
x = 180/6
x = 30
This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.
Find the measure of each labeled angle.first,find x=……..,m(angle)A=……,m(angle)B=…..,m(angle)C=……..
Answers
Step-by-step explanation:
sum of angles in a straight line is 180°
Therefore,
(3x - 20) + (2x) = 180°
5x =200
x =200/5
x=40°
Angle A=3x - 20
=3(40) - 20
=100°
Angle B=2x
=2(40)
=80°
Angle A=2x - 15
=2(40) - 15
=65°
what is john locke's ideas that affected government?
Answers
John Locke's ideas related to government focus on the separation of powers and respect for the individual rights of citizens.
Who was John Locke?John Locke (1632-1704) was a British philosopher who stands out as one of the most important thinkers in history in the field of political philosophy, English empiricism, and classical liberalism.
What were his outstanding ideas?Some of the most popular and important postulates of John Locke were:
The State's main mission is to protect the three natural rights: life, liberty and private property.Individuals have a fourth right, the right to defend these rights, as well as any other individual freedom of citizens.The citizen cedes some rights to the State through a written consensus or constitution.The government must be made up of a king and a parliament. Parliament is where popular sovereignty is expressed and where laws are made that must be followed by both the king and the people.He described the separation of legislative and executive power.The authority of the State is sustained by the principles of popular sovereignty and legality.Power is not absolute but must respect human rights.Learn more about John Locke in: https://brainly.com/question/13346823
Pls help I don’t know
Answers
Answer:
20 units
Step-by-step explanation:
Count the squares
Answer:
20 units
Step-by-step explanation:
Break up the shape into 5 squares. Each square is 4 units. Multiply 5 by 4, which is 20.
Please help!! Katherine O'Donnell obtained a personal loan of $1,800 at 10% for 12 months. The monthly payment is $165.00.
What is the new principal after the first payment?
Answers
Answer:
$1650
Step-by-step explanation:
Each payment is applied first to the amount of interest that is due, then to the remaining principal.
__
For the first monthly payment, the interest due is ...
I = Prt = $1800(0.10)(1/12) = $15.00
So, the amount of the payment that gets applied to the principal is ...
payment - interest = $165 -15 = $150
The new balance is ...
$1800 -150 = $1650.00 . . . . new principal after the first payment
__
The attachment shows the balance after each payment. Each interest amount is rounded to cents. The negative balance after the last payment is the amount of excess that last payment represents.
I need help on this here is the question
Question: If sally has ? cake's and Give away 15 and has 9 left how much did she have before she gived away?
I have 5 days until I have hand it in to My teacher
Answers
Answer:
Step-by-step explanation:
24
The trial balance of pacilio security services, incorporated as of january 1, year 7
Answers
A trial balance is a bookkeeping worksheet where the balance of all ledgers are being compiled into the debit and credit column.
What is a trial balance?It should be noted that a trial balance simply means a list of the general ledgers account that are contained in the business ledger.
The rule for the preparation of a trial balance is that the total debit entries must be equal to the total credit entries.
Learn more about trial balance on:
https://brainly.com/question/24696035
yah..... help please bro
Answers
Answer:
I think D but I'm not too sure.
Change them all into decimals:
The square root of 2 = 1.41421356
3/2 = 1.5
15% = 0.15
Arrange them:
3/2, square root of 2, 1.3333..., 1.3, 15%
So, B is the correct answer.
Erika ran 2 miles in 18 minutes and 3 miles in 27 minutes
Answers
Select the THREE expressions that are equivalent to 6x+ 1 - (3x - 1)
Answers
please elaborate 9638x
On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm?
Make a conjecture about how many ants might be on the farm. If you added all these ants into the previous question, how would that affect your answer for the total mass of all the animals?
What is the total mass of a human, a blue whale, and 6 ants all together?
Which is greater, the number of bacteria, or the number of all the other animals in the table put together?
Answers
The total mass of the living things on the farm is 588 kg.
Mass calculationSince on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :
(6.2 x 10) + (4 x 10 x 10) + (2 x 6 x 10) + (3 x 2 x 1) = X62 + 400 + 120 + 6 = X588 = XTherefore, the total mass of the living things on the farm is 588 kg.
Learn more about mass calculation in https://brainly.com/question/14695611
4. Ryan bicycled 100 miles from his home. The table shows his distance, in miles, from home at different times.
What was Ryan's average speed?
A. 5 miles/hour
B. 20 miles/hour
C. 10 miles/hour
D. 25 miles/hour
Ryan's Distance From Home
Time (hours) Distance
(miles)
1.5 30
2 40
2.5 50
3 60
Answers
Answer:
20 miles/hour
Step-by-step explanation:
To find the average speed you can divide the Distance by time.
30 ÷ 1.5 = 20
40 ÷ 2 = 20
50 ÷ 2.5 = 20
60 ÷ 3 = 20
How do I find a missing length of a triangle?
Answers
a^2+b^2 = c^2
Where a and b are the sides of the triangle and c is the hypothenuse side (the side in front of the 90 degree angle)
You just plug in the ones you know and find the missing side.
Answer number 20. Please answer all parts to the question.
Answers
2: Yes, 20 because it’s isolated from the rest of the points
(I don’t know the other ones, sorryyyyy)
what is an easy way to memorize like terms ex: 3 +x squared +x -5 +x squared
Answers
Answer:
You can memorize formulas like (a+b)^2 but that's about it, I will write down some formulas that might be useful.
(a+b)^2 = a^2+2ab+b^2
(a-b)^2 = a^2-2ab+b^2
(a-b)(a+b) = a^2+b^2
calculate the zeros: x1,x2 = (-b +/- sqrt(b^2-4ac))/2a
1.) An eagle circled 48 meters above a mouse that scurried in a valley.
The valley's elevation was 16 meters below sea level. At that same moment, a
hot air balloon floated 66 meters above the eagle.
What was the hot air balloon's elevation, relative to sea level?
A. -2 meters
B. 34 meters
C. 98 meters
D. 130 meters
Answers
The hot air balloon's(above the eagle) elevation, relative to sea level is 98 meters
What is elevation?Elevation is the height to which something is elevated or to which it rises.
Therefore,
The eagle circle 48 meters above the mouse that scurried in the valley. The valley is 16 meters below sea level.
At the same time a hot ballon floated 66 meters above the eagle.
Therefore, the hot air balloon's elevation, relative to sea level is as follows;
elevation = 66 + 48 - 16 = 98 meters
learn more on elevation here:https://brainly.com/question/11987342
Drag the tiles to the correct boxes to complete the pairs. Match the pairs of coordinates with the distances between them.
Answers
Answer:
See belowStep-by-step explanation:
Use distance formula and find the result for each pair of points.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]1)
[tex]d=\sqrt{(1-4)^2+(-2-2)^2} =\sqrt{9+16} =\sqrt{25} =5[/tex]2)
[tex]d=\sqrt{(2-(-8))^2+(-3-7)^2} =\sqrt{100+100} =\sqrt{200}[/tex]3)
[tex]d=\sqrt{(1-9)^2+(9-1)^2} =\sqrt{64+64} =\sqrt{128}[/tex]4)
[tex]d=\sqrt{(-8-(-2))^2+(2-(-6))^2} =\sqrt{36+64} =\sqrt{100} =10[/tex]#1
√(4-1)²+(2+2)²√3²+4²√5²5units#2
√(-8-2)²+(7+3)²√10²+10²√200units#3
√(9-1)²+(1-9)²√8²+8²√128units#4
√(-2+8)²+(-6-2)²√6²+8²√10²10unitsYo I need to bring up my math grade bad so
y>-x+1
(please show it graphed already :D)
Answers
Answer:
Step-by-step explanation: