2. In the figure, x is an exterior angle to the triangle below.
(a) Explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the algebra that proves this theorem.
(b) What is m
Answer:
Answers
Answer:
a) Exterior Angle Theorem
b) x = 109°
Step-by-step explanation:
For a, you can thank the Exterior Angle Theorem. Since the angles of a triangle equal 180°, we can figure out what the third interior angle's measurement is, then subtract that from 180 to get the exterior angle's measure. Since the two angles labeled (64° and 45°) will make an obtuse angle, then the third interior is an acute angle. Add 64 and 45 to get the exterior angle's measurement of 109 degrees. That would mean the third interior angle's measurement would be 71 degrees. 64 + 45 + 71 = 180, so this is true.
(I had used the HSEAT to explain this.)
Related Questions
4. Find the square of the following:
(a) 47
(6) 7.5
Answers
Answer:
7.5
Step-by-step explanation:
Answer:
47 a
7.5 6
Step-by-step explanation:
A photographer is 6 feet tall and casts a shadow that is 2 feet long. He is photographing a palm tree with a shadow that is 7 feet long. What is the height of the tree?
Answers
Answer:
Step-by-step explanation:
84
5756645+456775(5667+567668)56+567[68655667-67767677]= ?
Answers
the answer is, 14666074545975
Triangles MNQ and MOP are similar. What is the slope of segment MO?
A. 1/3
B. 1/2
C. 2/3
D. 3/2
Answers
Answer:
D. 3/2
Step-by-step explanation:
The scale factor is 1/2 from OP / NQ = 1/2. Because of that, MQ is equal to half of MP and QP is equal to half of MP. Therefore, QP = MQ = 2. The slope of MO is rise over run which is 6 / 4 or 3 / 2.
Can someone help me solve this please I don’t know how to do it
Answers
Step-by-step explanation:
NO = TS
20 = 3x-720+7 = 3x27 = 3x27/3 = x9 = xHope this helps you.
The price of a man's shirt went from $15 to $20. What was the percent of increase of the price of the shirt? A. 25% A. , 25%, B. 3313% B. , 33 and 1 over 3 percent, C. 20% C. , 20%, D. None of these D. , none of these,
Answers
Answer: 33 1/3%
Step-by-step explanation:
Percentage increase of the shirt will be calculated as:
= Price Increase / Old price × 100%
Price Increase = $20 - $15 = $5
Old price = $15
Percent increase = Price Increase / Old price × 100%
= 5/15 × 100
= 1/3 × 100
= 33 1/3%
Answer:
it would be -25% because 15 is less than 20
Solve using substitution. x+y=-9 and -2x-3y=17
Answers
x = -10
y= 1
explanation:
x+y = -9
y = -9 - x
-2x -3 (-9 - x) = 17
-2x +27 +3x = 17
27 + x = 17
x = -10
y = -9 -(-10)
y= -9 + 10
y= 1
(This is just math i did real quick and didnt double check, tell me if its wrong please!)
Does anyone know the area?
Answers
Answer:
69
Step-by-step explanation:
4x3=12
9x5=45
2x6=12
45+12+12=69
A triangle has interior angles equal to 51 and 42 degrees.Find the interior angle x
Answers
Answer:
Angle x would be 87 degrees.
Step-by-step explanation:
Angles inside of a triangle add up to 180 degrees. So 51+42=93 and if you subtract 93 from 180, you get 87.
SOME ONEEE PLZZ HELPP MEEEE
Answers
Answer:
2.5
Step-by-step explanation:
The minimum value is the minimum y-value a function includes. In this case, since you can see the function is periodic (it repeats itself periodically, hence periodic) and the smallest y-value the function encounters is 2.5 (doesn't go below this value), the minimum y-value is 2.5. I hope this made sense. If not, feel free to let me know.
Drag each equation to show if it could be a correct first step to solving the equation 3(6+x)=24.
Answers
Answer:
=2
Step-by-step explanation:
i did everything seprately
Answer:
I think this is the same one
Step-by-step explanation:
Hope this helps :)
A penguin population increases by 60%, representing an increase of 3840 penguins. How many penguins were there before the increase?
Answers
Answer:
2304
Step-by-step explanation:
The equation for this is 3840*0.6 which equals 2304. And to check, we can divide 2304 by 0.6, and that gives us 3840. I hope this helps! :)
Answer:
2304
Step-by-step explanation:
The equation for this is 3840*0.6 which equals 2304. And to check, we can divide 2304 by 0.6, and that gives us 3840. I hope this helps! :)
sorry guys i need points lol
You plan to go snowboarding this weekend in Pennsylvania. The resort charges $15.75 per hour in addition to a $25 deposit to rent a snowboard. Write and solve a linear equation to find the total cost to rent the snowboard from 8:30 a.m. to 12:30 p.m.
Answers
Answer:
$88 in total
Step-by-step explanation:
x = number of hours
y = total cost to rent the snowboard.
$25 is already guaranteed
25 + 15.75x = y
since it is 4 hours from 8:30 a.m. to 12:30 a.m. you put 4 into x.
25+15.75(4) = y
88 = y
please help quick! Find the area of the shape shown below.
\text{units}^2units
2
Answers
Answer:
12.5 units^2
Step-by-step explanation:
The shape is a trapezoid
The area of a trapezoid is given by
A = 1/2 ( b1+b2)h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2 ( 2.5+ 7.5) 2.5
A = 1/2 ( 10)2.5
A = 12.5 units^2
Answer:
12.5 units^2
Step-by-step explanation: Big Brain
¿Cuáles son las longitudes de un terreno rectangular, si se sabe que el ancho es dos veces más pequeño que el largo, y que su área es de 16, 200 m2? cuanto mide el ancho cuanto mide el largo
Answers
Answer:
El largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m
Step-by-step explanation:
Un rectángulo es un cuadrilátero con dos lados de igual longitud y dos lados de igual ancho que contiene cuatro ángulos rectos. Para encontrar el área de un rectángulo, debes multiplicar su longitud por su ancho. Es decir, el área del rectángulo es igual al largo por el ancho.
En este caso, sabes que el ancho es dos veces más pequeño que el largo. Entonces, siendo el largo x, el ancho tendrá un valor de x÷2.
Siendo el área del terreno rectangular 16,200 m², entonces
x*(x÷2)= 16,200 m²
Resolviendo:
x² ÷2= 16,200 m²
x²= 16,200*2 m²
x²= 32,400 m²
x= √32.400 m²
x= 180 m
Entonces, el largo tendrá un valor de 180 m y al ancho tendrá un valor de 90 m (180 m÷ 2)
Is this graph a function or not a function?
x
Not a Function
Function
Answers
Answer:
not a function
Step-by-step explanation:
not a function because the x value repeats twice in x=3
Answer:
Not a function
Step-by-step explanation:
A function can't be a dot graph, and it also needs a stronger pattern.
plz answer only if you know you are correct
Answers
Answer:
3
Step-by-step explanation:
3 is the slope. Since it is y/x, then it is 9/3, which is simplified to 3/1.
Why?
You need two points to find slope I will use 5,19 and 2,10.
Slope is the difference of Y over the difference of x
19-10/5-2= 9/3 (simplify but divided each by 3)
3/1 so the slope is 3
Hope this helps :D
Please help! Worth 100 points!
As you are completing your writing today, you are able to use any or all of the following topics in your writing.
Required 400 words.
Topics learned in Unit 11:
y = abx
Graphing Exponential Functions
End Behavior
Asymptote
Exponential Growth
Exponential Decay
y = a(1+r)t
y = a(1-r)t
Exponential Regression
Make sure its 400 words!
Answers
Answer:
okay I'll try my best but I'm I just suppose to explain the equation?
Step-by-step explanation:
x
f(x) = 2x
−3
2−3 = 1/8
−2
2−2 = 1/4
−1
2−1 = 1/2
0
20 = 1
1
21 = 2
2
22 = 4
3
23 = 8
Barney was driving at 25 mph. A car pulls out 30 ft ahead of him. The coefficient of friction, f, is 0.7. Which statement is true? A Barney hits the car. B Barney stops less than a foot from the car. C Barney misses the car by 3 ft. D Barney's skid marks measure 23 ft.
Answers
Answer:
B Barney stops less than a foot from the car.
Step-by-step explanation:
From the information given:
The initial speed of barney [tex]v_o[/tex] = 25 mph
Coefficient of friction [tex]\mu[/tex] = 0.7
Recall that
1 mph = 0.447 m/s
Then
[tex]v_o[/tex] = 25 × 0.447 m/s
[tex]v_o[/tex] = 11.175 m/s
The force of friction acting on the barney is expressed as:
[tex]F = \mu N \\ \\ F = \mu mg[/tex]
[tex]ma = \mu mg[/tex]
[tex]a = \mu g[/tex]
a = 0.7 × 9.8 m/s
a = 6.86 m/s²
Since the force acts in an opposite direction to the motion of Barney, Thus the acceleration must also be negative.
a = -6.86 m/s²
Now;
Suppose Barney stops after traveling a distance (s), so that the final speed is zero.
Then;
Using the kinematic equation;
[tex]v^2 - v_o^2 = 2as[/tex]
[tex]0 - (11.17)^2 = 2 \times (-6.86) s[/tex]
[tex]-124.76 = -13.72 s[/tex]
[tex]s = \dfrac{124.76}{13.72}[/tex]
s = 9.09 m
Recall that;
1 m = 3.28 ft
So;
s = 9.09 m = 9.09 × 3.28 ft
s = 29.81 ft
∴
The distance traveled by the Barney is 29.81 ft which implies that Barney stops less than a foot from the car.
Write an expression, using an exponent, that is equivalent to 6x6x6x6x6
Answers
Answer:
6^5 or 6 to the power of 5
Step-by-step explanation:
This is because 6*6 is 36 which is equal to 6^2 and 6*6*6 is 6^3 6*6*6*6 is 6^4 and finally we have 6*6*6*6*6 which is 6^5.
Keisha‘s restaurant bill is $27 she wants to leave 15% tip how much money does Keisha need in all?
Answers
Answer:
$31.05
Step-by-step explanation:
Which is an equation?
A)17 + x
B)45➗ x
C) 20x = 200
D) 90- x
Answers
Answer:
20X=200 because an equation contains LHS and RHS
PLEASE HELP TODAY ASAP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER.
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x = 5
Step-by-step explanation:
The interior angles of a triangle always have to add up to 180 degrees.
This means you can form an equation with the three angles you have:
(10x - 4) + (8x + 3) + 91 = 180
Then, solve:
[tex]10x-4+8x+3+91=180[/tex]
combine like terms
[tex]18x+90=180[/tex]
subtract 90 from both sides
[tex]18x = 90[/tex]
divide both sides by 18
[tex]x = 5[/tex]
Answer:
sxdcfghnujgyhuj
Step-by-step explanation:
a triangle has sides with lengths 10 inches, 14 inches, and 17 inches. is it a right triangle
Answers
definition of militarism alliances imperialism nationalism
Answers
Alliances- An alliance can be defined as a formal, economic, military or political agreement between two or more nations.
Imperialism- Imperialism, state policy, practice, or advocacy of extending power and dominion, especially by direct territorial acquisition or by gaining political and economic control of other areas.
Nationalism- Nationalism is an idea and movement that promotes the interests of a particular nation (as in a group of people), especially with the aim of gaining and maintaining the nation's sovereignty (self-governance) over its homeland.
Answer:
The war started mainly because of four aspects: Militarism, Alliances, Imperialism and Nationalism. This is because big armies become potential threats to other countries, other countries started forcing alliances in order to secure land. ... The overall cause of World War was the assassination of Archduke Franz Ferdinand.
Step-by-step explanation:
R=19, M
SEE THE PICTURE TO UNDERSTAND SORRY
Answers
Answer:
what is the question??????
Briahna and Keondre work at a store. Keondre earns $25.30 more per week than Brianna does. Brianna earns $395 per week. Write an equation to find k, how much money Keondre earns. Then, Solve. -
Answers
Answer:
415.30
Step-by-step explanation:
Help please urgent ppleeeaseeeeeeeeeee
Answers
Answer:
114
Step-by-step explanation:
You will need to multiply L x W and then add them all
Answer:
174
Step-by-step explanation:
↔AB and ↔BC form a right angle at point B. If A = (-3, -1) and B = (4, 4), what is the equation of ↔BC?
A. x + 3y = 16
B. 2x + y = 12
C. -7x − 5y = -48
D. 7x − 5y = 48
Answers
Answer:
your answer is C
Step-by-step explanation:
AB <--> and BC <--> form a right angle at point B. If A = (-3,-1 ) and B = (4,4 ), what is the equation of BC <-->?
Answer:
PLATO / EDMENTUM :)
Step-by-step explanation:
What is the measure of the vertex angle
Answers
Answer:
Vertex angle = 124°
Step-by-step explanation:
m<BAC = m<BCA (base angles of isosceles ∆ are congruent)
7x + 1 = 5x + 9
Collect like terms
7x - 5x = -1 + 9
2x = 8
divide both sides by 2
x = 4
Vertex angle = 180 - ((7x + 1) + (5x + 9)) (sum of triangle)
Plug in the value of x
Vertex angle = 180 - ((7*4 + 1) + (5*4 + 9))
Vertex angle = 180 - (29 + 29)
Vertex angle = 124°