Answers
Answer:
Measure of angle A = 100°
Measure of angle B = 80°
Measure of angle C = 65°
Step-by-step explanation:
From the given picture,
Angle A and angle B are the linear pair of angles, and linear pair of angles are supplementary angles,
m(∠A) + m(∠B) = 180°
(3x - 20)° + (2x)° = 180°
5x - 20 = 180
5x = 200
x = 40
By substituting the value of x in the measures of each angle,
m(∠A) = (3x - 20)°
= 3(40) - 20
= 120 - 20
= 100°
m(∠B) = 2x°
= 2(40)
= 80°
m(∠C) = (2x - 15)°
= 2(40) - 15
= 80 - 15
= 65°
Related Questions
What is equity? What does it mean to have positive equity? What does it mean to have negative equity?
Answers
Positive equity relates to assets you own that are financed by loans. The term positive equity is most commonly used with real estate investments, but there are other asset types where positive or negative equity is a consideration. As part of your financial situation, positive equity is a component of your overall net worth.
The concept of negative equity arises when the value of an asset (which was financed using debt) falls below the amount of the loan/mortgage that is owed to the bank in exchange for the asset. It normally occurs when the value of the asset depreciates rapidly over the period of use, resulting in negative equity for the borrower.
Consider the points A (-1, 1), B (1,5) and C (5, 1). M is the midpoint of AB, and N is the
midpoint of BC.
Show that MN is parallel to AC
Answers
Step-by-step explanation:
IN ΔAMN ΔABC
Since MN∣∣BC
∠AMN=∠ABC (Corresponding angles)
∠ANM=∠ACB (Corresponding angles)
∴ΔAMN∼ΔABC(By $$AA similarity criterion)
⇒
AB
AM
=
AC
AN
=
BC
MN
(CPST)
Since, M is mid-point of AB,
AM=
2
1
AB,or,
AB
AM
=
2
1
or,
AB
AM
=
AC
AN
=
2
1
AC
AN
=
2
1
5
AN
=
2
1
[∵AC=5cm]
AN=
2
5
cm=2.5cm
Also,
AB
AM
=
BC
MN
=
2
1
7
MN
=
2
1
[∵BC=7cm]
MN=
2
7
=3.5
Ans=AN=2.5cm and MN=3.5cm
solution
Alright here is a repost
Answers
Answer:
50 degrees
Step-by-step explanation:
180-130=50
Answer:
The answer was already given(50°), but I can explain it further.
Step-by-step explanation:
These are supplementary angles, two angles that, together, make 180 degrees.
We know the angle of one of them, 130°, and in order to find the other one, x, we have to subtract what the entire this equals, 180°:
180° - 130° = x
50° = x
x = 50°
I hope this helped you, even if this was two hours ago.
Determine the projection of u=1.6i+3.3j in the v=-2.1-.5j direction.
A.8i+.2j
B.2.3i+.5j
C. -.6i-1.3j
D. -1.2i-1.1j
Answers
Answer:
[tex]0.80i +0.2j[/tex]
Step-by-step explanation:
The projection of u on v is expressed as;
[tex]proj_{v} u = \dfrac{u*v}{|v|^2} * v[/tex]
Given
u=1.6i+3.3j
v=-2.1i-.5j
u*v = (1.6i+3.3j )*(-2.1i-0.5j )
u*v = 1.6i(-2.1i) + 3.3j(-0.5j)
u*v = -3.36 - 1.65
u*v = -5.01
|v|² = (√(-2.1)²+(-0.5)²)²
|v|² = (-2.1)²+(-0.5)²
|v|² = 4.41+0.25
|v|² = 4.66
Substitute into the formula;
[tex]= \frac{1.71}{-5.01} * (-2.1i - 0.5j)\\= -0.3413 (-2.1i - 0.5j)\\= 0.8i + 0.17j\\= 0.80i +0.2j[/tex]
what do you think???
Answers
Answer:
To entertain
Step-by-step explanation:
Because the dad made a joke to entertain, and the story is entertaining the readers.
Answer: entertain
Step-by-step explanation:
What is the value of a?
A. -18
B. -14
C. 14
D. 18
Answers
...................
Help pleaseeeeeeeeeeeeeeeeeee
Answers
Explanation
Match the word to its description. The difference between the lowest and highest value 1. mode The middle value 2. mean 3. median The most frequent value PP 4. range The average
Answers
Answer:
range
Step-by-step explanation:
The difference between the lowest and the highest number is called the range. The middle value is the median (it's in the "mid"dle, median) The mean is the average. And the mode is the most frequent value.
In the figure below, 7 ||
m. Find x.
Answers
Answer:
x+65°=120°[by alternate interior angle]
x=120°-65°
x=55°
Can someone help me with this. Will Mark brainliest.
Answers
Answer:
B (3, -4)
Step-by-step explanation:
A( -7, 2)
midpt ( -2, -1)
Equation:
(x + 5, y - 3)
Solve for B:
( -2, -1)
(x + 5, y - 3)
(3, -4)
Use the data set and line plot below. Jerome studied the feather lengths of some adult fox sparrows.
How long are the longest feathers in the data set?
A.
2
2
inches
B.
2
1
4
214
inches
C.
2
1
2
212
inches
D.
2
3
4
234
inches
Answers
Answer: 2 1/2
Step-by-step explanation:
the answer is D i took the test here is proof
Please help me with this
Answers
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
What is the total weight of 3 bags if their individual weights are 2/5, 7/10 and 3/5 pound? Give your answer as a mixed number in siplest form
Answers
Answer:
1 7/10
Step-by-step explanation:
Given that:
Weight of bag 1 = 2/5 pounds
Weight of bag 2 = 7/10 pounds
Weight of bag 3 = 3/5 pounds
Total weight of the three bags :
2/5 + 7/10 + 3/5
Take the lcm of 5 and 10
Lcm of 5 and 10 = 10
(4 + 7 + 6) / 10
17 /10
= 1 7/10
During a professional baseball game, every
spectator placed his or her ticket stub into one of
several containers. After the game, the coach
chose twenty people to march in the victory
parade. What is the sample in this situation?
Answers
Answer:
20 people chosen to March
Step-by-step explanation:
The sample can be explained as a random subset of the population. It is a given number of draws or selection made usually at Random from the entire or larger population set. The sample is usually smaller Than the population and if done randomly will be representative of the population set. The entire spectator attending the baseball game is the population of interest while the 20 selected from the entire pool to March in the victory parade is the sample data obtained from the population set.
Click the location of the point in the coordinate plane with the coordinates (–4, 3).
Answers
Answer:
I've put the red dot where location is.
Step-by-step explanation:
Find the number of subsets in the set (x l x is a day of the week)
a. 124
b. 256
c. 127
d. 128
Answers
If you stacked the cubes on top of each other to make an enormous tower, how high would they reach?
Answers
Answer:
Is this an actual question
Write a similarity statement comparing the three triangles in the diagram
P R S Q
Answers
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream
Answers
Answer:
you got this
Step-by-step explanation:
I believe in you
Evaluate : ab−5c+b
for a = 12, b = 3 and c = - 4
Answers
Answer:
59
Step-by-step explanation:
[tex](12*3)-5*(-4)+3=59[/tex]
Which of the following inequalities has the graphed solution below?
zzGroup of answer choices
x − 1 ≥ 0
x − 1 ≤ 0
x + 1 ≥ 0
x + 1 ≤ 0
Answers
The solution set of IR - 31 = 10 is?
{7, 13)
(-7, 13)
(-13, 13)
Answers
Answer:
{7, 13)
Step-by-step explanation:
IR - 31 = 10
IR = 41
7*13 = 41
(-7)*13 = -41
(-13)*13 = -169
plz help me please please
Answers
Answer:
5%
Step-by-step explanation:
Answer:
5% increase
Step-by-step explanation:
30/600 equals .05 or 5%
PLEASE HELP ME!! I MIGHT FAIL! I WILL GIVE BRAINLIEST TO THE FASTEST CORRECT ANSWER
Answers
Answer:
Option B
Step-by-step explanation:
→ Find 2 coordinates through which the line passes through
( -2 , -5 ) and ( 0 , -1 )
→ Work out the gradient
[tex]\frac{-1--5}{0--2} =2[/tex]
→ Write into y = mx + c
y = 2x + c
→ Substitute in the coordinates ( 0 , -1 )
-1 = 0 + c so c = -1
→ Write equation
y = 2x - 1
→ Expand out all the equations and simply to see which gives y = 2x - 1
Option B
One die is blue and the other die is yellow. Both are rolled. What is the probability of getting the shm of 8?
Answers
Answer:
5 /36
Step-by-step explanation:
Sample space :
Number of faces^number of dice = 6^2 = 36
Sum of 8 on a roll of 2 dies :
Probability = required outcome / Total possible outcomes
Required outcome = number of times a sum of 8 is obtained on a roll of 2 dies = 5
Total possible outcomes = sample space = 36
P(obtaining a sum of 8) = 5 /36
There’s 10 in total I need help with
Answers
Answer:
8√2
Step-by-step explanation:
this one is a right triangle so both side are equal since the angle is 45 degrees
If the quadrilateral below is a trapezoid, find: x=
Answers
Answer:
x=4
Step-by-step explanation:
Consecutive sides in a trapezoid are supplementry, which means they add up to 180. So, your equation is 14x-15+139=180
14x+124=180 (first make the numbers as clean as you can on both sides)
14x=56 (move all of the numbers to one side, so subtract 124 from both sides)
x=4 (simplify to get your answer, so divide by 14)
(hope this helps :P)
You call 5 friends, tomorrow they call 5 each. Write an equation.
Answers
Answer:
5+5=10
Step-by-step explanation:
5+5=10
hope this helps. plz mark me as brainliest.
50 points
The frequency table below shows the length of selected movies shown in a local
theater over the past six months.
Answers
Answer:
Lol its in total of 34
Step-by-step explanation:
A cheese shop has some bulk cheese in blocks measuring 30 cm x 20 cm x 8 cm. How much paper is needed to cover the block of cheese
Answers
Answer:
232cm
Step-by-step explanation:
A cheese usually has the shape of a cuboid.
Characteristics of a Cuboid
A cuboid is a convex polyhedronIt has 12 edgesIt has 8 facesIts base shape is a rectangleIt has 6 facesThe amount of paper that would be needed to cover the block of cheese can be determined by calculating the perimeter of the block of cheese which is shaped as a cuboid
Perimeter of a cuboid = 4 x (length + breadth + height)
4 x (30 + 20 + 8) = 232cm