Answers
Answer:
x= 38
y= 71
Step-by-step explanation:
The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.
The two sides marked with a "dash" are said to be equal.
STEP I:If we label off the triangle as ABC with AD being the extended length (containing 108°).
We'll get,
AB = AC
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP II:*Property*
"If two sides of a triangle are equal their corresponding base angles are equal too."
=> ∠BAC = ∠BCA . . . . (¡)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP III:From the figure, ∠BCA is equal to y.
*Property*
"Two angles on a straight line sum up to 180°"
∠BAC can be found out by subtracting 109° from the straight angle (180°).
=> ∠BAC = 180 - 109
=> ∠BAC = 71°
Substituting these values in eqn. (¡):
71 = y
Hence, the value of y is 71°
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
STEP IV:*Property*
"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."
Here,
Interior angles = x and y (= 71)Exterior Angle = 109°=> 109 = x + 71
=> 109 - 71 = x
=> x = 38°
Hence, the value of x is 38°.
Related Questions
It costs $3 to bowl a game ad $2 for a shoe rental.
Answers
Answer:
Whats the question
Step-by-step explanation:
How to divide polynomials by long division.
Answers
Answer:
To divide two polynomials, here are the procedures: Arrange both the divisor and dividend in descending order of their degrees. Divide the 1st term of the dividend by the 1 st term of the divisor to obtain the 1st term of the quotient. Find the product of all the terms of the divisor and the 1st term quotient and subtract the dividend's answer. More items...
Step-by-step explanation:
HOW TO COUNT BY 5 AND 10 'S HOW TO COUNT BY 20 AND A WHAT IS 9-4 AND 5-7
Answers
choose all the pairs of lines that are parallel.
1. line UV and line VY
2.line UX and line WZ
3.line VY and line WZ
4.line YZ and line WZ
5.line UV and line WZ
6.line XZ and line VW
7.line XY and line YZ
Answers
2. Line UX and line WZ
3. Line VY and line WZ
Answer:
2.lineUX and lineVY3.lineVY and lineWZm divided 6 when m=48
Answers
[tex]\dfrac m 6 = \dfrac{48}6 = \dfrac{ 8 \times 6}6 = 8[/tex]
Please help me, its 3:06am in the morning & i have class in 3 hours :(
Answers
they look the same size but because of the 2 in front meaning it's going to be double than what the real answer it is (and it twelve Ike it's counter part) it would be six... yet someone already answered before me so credits to him.
ANSWER 6
Solve for x
#6:
X=_
#7
X= _
Answers
Step-by-step explanation:
for the first one let's write our equation
(13x+2)+(3x-4)+(5x-7)=180
Combine like terms
21x-9=180
Add 9 to both sides
21x=189
Divide both sides by 21
x=9
Now for the second one
Let's write our equation
(19x-18)+(7x+1)+(10x-9)=180
Combine like terms
36x-26=180
Add 26 to both sides
36x = 206
Divide both sides by 36
x = 5.72222...
Pls answer this 100 points if so
Answers
To your question
Answer:
(f) can you plz mark brainiest
Step-by-step explanation:
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answers
Answer:
Step-by-step explanation:
4.
What property could you use to show that these two triangles are congruent?
Two triangles
HL
SSS
SAS
ASA
Answers
Answer:
All four
Step-by-step explanation:
SSS, SAS, ASA, and HL
What is countercurrent multiplication?.
Answers
Answer:
What is countercurrent multiplication? ... Countercurrent multiplication in the kidneys is the process of using energy to generate an osmotic gradient that enables you to reabsorb water from the tubular fluid and produce concentrated urine.
10;11;15;15;17;22;11 what is the mode of this data?
Answers
Answer:
11, 15
Step-by-step explanation:
They both occur two times so they are tied for mode so both numbers is the answer
Plz plz plz plz plz
Answers
C
Hope this helps brotato chip
On Monday, your bank account balance was -$12.71. Because you didn't realize this, you wrote a check for $30.96 for groceries. The new balance in the checking account dollars
Answers
Answer:
-$43.67
Step-by-step explanation:
your balance was negative $12.71 then you still took $30.96 for the groceries so the equation suppose be
-12.71 -30.96
it have same sign so you add them, after you add them you will get $43.67 but cause it was negative so your bank account's new balance was -$43.67.
(08.02 MC)
A pair of equations is shown below:
y = 2x − 1
y = 4x − 5
Part A: In your own words, explain how you can solve the pair of equations graphically. Write the slope and y-intercept for each equation that you will plot on the graph to solve the equations. (6 points)
Part B: What is the solution to the pair of equations? (4 points)
Answers
Answer:
part A
y = 2x -1
the slope is 2/1 means it will be up 2 right 1 or down 2 left 1 the slope is positive
the y-int is -1
y = 4x -5
the slope is 4/1 means it will be up 4 right 1 or down 4 left 1 the slope is positive
the y-int is -5
part B
the solution to this is (2,3)
Step-by-step explanation:
Answer:
Part A:
y = 2x - 1
Slope = 2/1
Y intercept = -1
y = 4x -5
Slope = 4/1
Y intercept = -5
Part B:
x = 2 y = 3
Step-by-step explanation:
Part A: To solve the pair of equations graphically, we need to plot the 2 lines on a graph, and look at where they intercept. Then we draw a vertical line from the intersection to the x axis and we know what x is equal to. Laslty, we draw another line (horizontal) from the intersetcion to the y axis and we know what y is equal to.
Equation of a line: y = mx + c
where mx is the slope and c is the y intercept
y = 2x - 1
Slope = 2/1 -- 2 divided by 1 because it goes 2 squares up and 1 to the right
y intercept = -1
y = 4x - 5
Slope = 4/1
y intercept = -5
Part B:
Solving for x:
Since we know that y = 2x - 1 but also 4x - 5, then:
2x - 1 = 4x - 5
2x + 4 = 4x
4 = 2x
x = 2
Solving for y:
Since we know that x = 2, we just have to replace it in one of the two equations, let's say y = 2x - 1. This would give us:
y = 2 x 2 - 1
y = 4 - 1
y = 3
what is the term to term rule of the sequence in 5, 10, 20, 40, 80
Answers
Answer:In each step the number is double that of the previous step.
Step-by-step explanation:
In each step the number is double that of the previous step.
0 5
1 10
2 20
3 40
4 80
This can be written as 5*(2)^n, where n is the step number. e;g;, 5*2^0 = 5 for step 0. For step 4: 5*2^4 = 80.
i really need help i don’t get this at ALL. :(
Answers
Step-by-step explanation:
You have to go to Y axis first then to X. For example : (4,5) go up 4 and go to x axis and when u get to 5 you put a dot. The same thing if is (-4,-5) go down 4 and to the left 5 and mark a dot. When you mark the dot put (_,_).
Hope you understand. Let me know if you don't.
PLEASE HELP ME OUT!!!
Convert the following
0.005kg = ______ dag
0.075 m = ______ cm
15g = _______mg
Answers
Answer:
0.005*1000dag
5dag
0.075*100cm
7.5cm
In 2013 the population of Indonesia was 200 million. The population was increasing by 2.3% per year. What will the population of Indonesia be in 2022.
Answers
Solve the system of equations using substitution.
X + y = 13
x - y = 5
Please help
Answers
Answer:
x=9
y=4
Step-by-step explanation:
The triangle below models a section of the supports you might see in a construction crane.
a. What is the sum of the angle measures of the triangle? Show your work.
1. Alt interior = 60
2. angle A + angle B + 2 =180
3. x supplemental
4. Alt interior = 90
5. Supplimentary = 90
(A is already solved)
b. Check your answer to problem 3a. Show your work.
(Please answer b)
Answers
Exactly what was your answer for a
(Picture provided)
Helppppppp plsss
Answers
Answer:
100 degrees
Step-by-step explanation:
at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.
please help me i’ll love you so much if you help
Answers
Answer:
1. yes
2. no
3.no
Step-by-step explanation:
You can just distribute to see if it matches up with the other expression.
can somebody please help me
Answers
Answer:
b
Step-by-step explanation:
67 is 0.12% of what number?
Answers
we have 67/x . 100% = 0.12 %
so x = 67.100%/0.12% = 55833,(3) ≈ 56
ok done . Thank to me :>
Zane calculated the missing side length of one of these triangles using the pythagorean theorem. Which triangle is it? a b c d.
Answers
Answer:
d
Step-by-step explanation:
Marguerite is selling space in an advertisement book for a community fund-raising event. Each (1/5) page in the book costs $13.5. What is the cost for (3/5) page.
Answers
Answer:
$40.5.
Step-by-step explanation:
if 1/5 of the book costs $13.5. then to find 3/5 you just have to times the answer by 3.
Question
Select the factored form of the expressions 3x2−11x−4
A (3x−4)(x+1)
B (3x−2)(x+2)
C (3x+1)(x−4)
D (3x−1)(x+4)
Answers
Rashid solves the following system of equations using the elimination method.
6x−5y=−315x+3y=10
What value does he correctly determine for x?
Enter you answer in the box.
Answers
Follow the steps to finish solving the equation -3x +18 = 7x
1. Add 3x to both sides to isolate the variable term.
2. Divide both sides by 10.
x=
Answers
Answer:
18/10
Step-by-step explanation:
got it right.