Answers
Answer:
The measure of the vertex angle is 100°
Step-by-step explanation:
In Δ MNO
∵ Δ MNO is an isosceles triangle with base MO
∴ NM = NO
→ In an isosceles triangle, the base angles are equal in measures
∵ ∠M and ∠O are the base angles isosceles ΔMNO
∴ m∠M = m∠O
∵ m∠M = (3x + 10)°
∵ m∠O = (5x - 10)°
→ Equate their measures
∴ 5x - 10 = 3x + 10
→ Add 10 to both sides
∵ 5x - 10 + 10 = 3x + 10 + 10
∴ 5x = 3x + 20
→ Subtract 3x from both sides
∴ 5x - 3x = 3x - 3x + 20
∴ 2x = 20
→ Divide both sides by 2 to find x
∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]
∴ x = 10
→ Substitute the value of x in the measures of ∠M and ∠O to find them
∵ m∠M = 3(10) + 10 = 30 + 10
∴ m∠M = 40°
∵ m∠O = 5(10) - 10 = 50 - 10
∴ m∠O = 40°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ m∠M + m∠O + m∠N = 180°
∵ 40 + 40 + m∠N = 180
→ Add the like terms
∴ 80 + m∠N = 180
→ Subtract 80 from both sides
∴ 80 - 80 + m∠N = 180 - 80
∴ m∠N = 100°
∵ ∠N is the vertex angle of Δ MNO
∴ The measure of the vertex angle is 100°
Related Questions
5 2/5 as a decimal number
Answers
Answer:
27/5 = 5,4
Step-by-step explanation:
5 2/5 = 27/5 = 5,4
plsssssssssssssss help with 11
Answers
Answer:
1 = $3.50
( I tried my best)
Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes. Each package contains 24 cupcakes. Which equation is NOT a way to find c, the number of cupcakes Betty bought in all?
Answers
Answer:
The equation to find the number did cupcakes bought in all =
= 3c + 7c
= c(3 + 7)
The total number Betty bought in all = 240 cupcakes.
Step-by-step explanation:
Let the amount of cupcakes in a package be represented by c
Betty bought 3 packages of chocolate cupcakes and 7 packages of vanilla cupcakes.
The equation to find the number did cupcakes bought in all =
3 × c + 7 × c
= 3c + 7c
= c(3 + 7)
Each package contains 24 cupcakes
The total number = 3(24) + 7(24)
= 240 cupcakes.
I need help on this... i have to find the m
Answers
Answer:
100°
Step-by-step explanation:
(20x)° = (7x + 5)° + 60°
20x - 7x = 65
13x = 65
x = 5
m∠BTU = (20 × 5)° = 100°
State the slope and y-intercept of the graph of y=−25x+2
Answers
Answer:
slope=-25 y-intercept=2
Step-by-step explanation:
Answer: Slope=-25
y-int=2
Step-by-step explanation: y=mx+b, m is the slope and b is the y-int. The slope is the number in front of x like -25x that is -25. The y-int is the next to the slope which is 2.
Which of these statements best describes the relation shown in Item 1?
A- A function that is one-to-one
B-A function that is many-to-one
C-A function that is one-to-many
D-A relation that is not a function
Answers
Answer:
The relation is 'a function that is one-to-many'.
Step-by-step explanation:
From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.
In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.
Therefore, the relation is 'a function that is one-to-many'.
The statements that best describe the relation shown in Item 1 is one to many. Option C is correct
Functions are represented as mappings to relate the domain of the given function with the co-domain.
For instance, the function y= x + b has a domain of x and the codomain of "y"
Mappings can be one to one, where each value of the domain is a unique value in the co-domain
Many to one where one element in the domain have more than one element in the codomain
From the given table, we can see that when y = 10, the corresponding x values are 5 and -5. his shows that the codomain value (10) has more than one unique value in the domain.
Hence the statements that best describe the relation shown in Item 1 is a one to many
Learn more here: https://brainly.com/question/22738955
Find f (h(-5))
f (x) 9x - 5
g(x) - 3x
h(x) 2x2
Your answer:
Answers
hi
You are making f ° h
f(x) = 9x-5
h(x) = 2x²
You must first calculate h(-5) : so remplace x by -5 in h :
h(-5) = 2 (-5)² = 2* 25 = 50
then apply f(x) to result : f(50) = 9 *50 -5 = 450 -5 = 445
2x+2y=38
Y=x+3
Substitute to solve
Correct answer gets Brainliest
Answers
Answer:
x=8
y=11
Step-by-step explanation:
2(8) + 2(11) = 38
8 + 3 = 11
If you want to buy an item in a store that costs $32.50 and is on sale for 30% off, then how much would the item actually cost you after the discount? Round to the nearest cent.
Answers
Answer:
22.80
Step-by-step explanation:
100% - 30% = 70% that you'll be paying
70% = [tex]\frac{70}{100}[/tex] = 0.7
0.7 * 32.50 = 22.75
Round to nearest cent: 22.8
What is the area of a rectangle with vertices at (0, −4), (−1, −3) , (2, 0), and (3, −1)? Enter your answer in the box.
( ) units²
Answers
Answer:
?
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the Awnser to this?
Answers
help pls thank you!!
Answers
2/3*4= 8/3
2 2/3 is your answer (C)
Answer:
C 2+2/3
Step-by-step explanation:
10/2.5= 4
2/3*4= 2+2/3
Jim is building a model airplane. The scale is 1 in : 40 ft. The actual wingspan of the plane is 211 feet. How long will the wings of the model be?
Answers
Answer:
422 that's how long the wingspan will be.
Hellppppppppppppppppp
Answers
Answer: im pretty sure its option 2
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-intercept form.
x- 0 1 2 3 4
y- 9 18 27 36 45
Answers
Question: Where is the y2? Please be more specific!
Kinsley can illustrate 9 story book pages in 3 hours. How many pages can she
illustrate per hour?
Hint: Make a W.O.N. table to solve.
o A) 27 pages
B) 9 pages
o C) 1 page
D) 3 pages
Answers
Answer:
3 pages
Step-by-step explanation:
because if she reads 9 pages in 3 hours if you multiply each answer by 3 you should be able to find the right answer
help with math hw please
Answers
Answer:
x = 4
Step-by-step explanation:
All of the sides are the same so every angle is 17x-8.
Every triangle adds up to 180 degrees.
3(17x-8)=180
51x-24=180
+24 +24
51x=204
x= 4
1/2-1/4
help?:) uhhhh thankssss
Answers
I hope this helps!
The area model shows 2 and one-third. What is 2 times 2 and one-third?
Answers
Answer:
14/3 or 4.6
Step-by-step explanation:
"Shaquille, Lyle, and Amanda collect stamps. Shaquille has one-half the number of stamps that Lyle has. Amanda has two-thirds as many stamps as Lyle. Together they have 364 stamps. How many stamps does Amanda own?" Please help me :c
Answers
Answer:
112 stamps
Step-by-step explanation:
Shaquille and Amanda's stamps are described in terms of Lyle's, so:
Lyle's = 6x 6x+3x+2x=364
Shaquille's = 3x 13x=364
Amanda's = 4x x=28
Lyle has 168 stamps, Shaquille has 84, and Amanda has 112. 168+84+112=364
Which best represents 3=x/6 -2
Answers
Answer:
30
Step-by-step explanation:
Answer: x = 30
Step-by-step explanation: To solve for x, first you’ll have to make sure that your result will equal to 3. ( x/6 -2). Next, look for a numerator that can make a fraction that equals to 5. Then, you would have to multiply 6 x 5, which equals to 30, so 30 will be x. 3 = (30/6 - 2) 3 = 5-2.
Please Help Me I will give you 100 Points
Answers
Answer:
twoendndbdsjwu
Step-by-step explanation:
Answer:
a. x represents the 1$ rides and y represents the 2$ rides.
b. they represent the rides that she has taken.
c. (4, 11) or x = 4 and y = 11
Step-by-step explanation:
hospital pays $9 for each set of scrubs plus a delivery fee of $13 per order the total cost for the scrub order was $463. how many sets of scrubs did the hospital order?
Answers
Answer: 50 sets
Step-by-step explanation:
Scrubs=9x fee=13 total=463
463-13 dollar fee =450 450/9 equals 50 sets of scrubs to check it do 9x+13=463 x=50 so 9(50)+13=463 then 450+13=463 463=463 :) you're welcome hope it's the right type of math you need!
what is 10÷1/3 and the answer had to be a whole number
Answers
Answer:
30
Step-by-step explanation:
your basically multiply, that's how I think about it
10 · 3
a. Each day, your teacher randomly calls on 5 students in your class of 30. What is the
probability you will be called on today?
Answers
Answer:
The probality is 5/30 or in simpliest form it is 1/6!
Step-by-step explanation:
Hope this helps! Plz give me brainliest
I need help solving for x
Answers
That’s the answer
Imad's family drove 345 miles from Chicago to Cleveland.
They drove at a speed of 50 miles per hour. How many hours did it take Imad's family to drive from Chicago to Cleveland?
A
7.1 hr
B
6.35 hr
6.9 hr
D
7.9 hr
Answers
Answer:
6.9 is the answer
Step-by-step explanation:
345 divided by 55. hope this helps....
Question
Help me -.8+ 2X = .3 - x
Answers
Step-by-step explanation:
2x+x=.3+.8
3x= 1.1/:3
x=0.366
Answer:
x = -2.566667
Step-by-step explanation:
simplify both sides
8 + 2x = 0.3 - x
8 + 2x = 0.3 + - x
2x + 8 = - x + 0.3
add x to both sides
2x + 8 + x = - x + 0.3 + x
3x + 8 = 0.3
subtract 8 from both sides
3x + 8 - 8 = 0.3 - 8
3x = -7.7
divie both sides by 3
3x/3 = -7.7/3
x = -2.566667
Justin is ordering 5 identical sandwiches and a bag of chips. The bag of chips cost $1.25 and the entire order costs $38.75. Which equation can be used to find the price of a sandwich, s?
Answers
Answer:
5S +1.25 = 38.75
Step-by-step explanation:
5 S = 5 sandwich cost
+ 1.25 = chip cost
answer of s is
S = 7.50
Whitney has £265 Nancy has £180 They each spend the same amount of money. Whitney has twice as much money as Nancy left now. How much money did they each spend?
Answers
Answer:
£95
Step-by-step explanation:
Given that:
Whitney's initial amount = £265
Nancy's initial amount = £180
Let amount each spent = x (amount is the same)
After spending Whitney has twice as much money as Nancy.
Amount spent by each?
(Whitney's initial amount - x) = 2(Nancy's initial amount - x)
265 - x = 2(180 - x)
265 - x = 360 - 2x
-x + 2x = 360 - 265
x = £95
Hence, they both spent £95