Triangle ABC has angle measrures as shown
(a) what is the value of x? show your work.
(b) what is the measures of the angle C? Show your work
Answers
Answer:
[tex]\text{(a) } x=11,\\\text{(b) } \angle C=12^{\circ}[/tex]
Step-by-step explanation:
The sum of the interior angles in a triangle is always equal to 180 degrees. Therefore, we have the following equation:
[tex](3x+28)+(5x+52)+(2x-10)=180[/tex]
Solving for [tex]x[/tex]:
[tex](3x+28)+(5x+52)+(2x-10)=180,\\3x+28+5x+52+2x-10=180,\\10x+70=180,\\10x=110,\\x=\boxed{11}[/tex]
Substitute [tex]x=11[/tex] to solve for angle C:
[tex]m\angle C=2x-10,\\m\angle C=2(11)-10,\\m\angle C==22-10=\boxed{12^{\circ}}[/tex]
Related Questions
The radius of the front wheel of Paul's bike is 63cm. Paul goes for a cycle and travels 69.89km. How many full revolutions did Paul's front wheel complete?
Answers
Answer: [tex]17,649[/tex]
Step-by-step explanation:
Given
The radius of the cycle is [tex]r=63\ cm[/tex]
Distance traveled by Paul is [tex]68.89\ km[/tex]
Distance traveled by one complete revolution of wheel is equivalent to circumference of wheel i.e.
[tex]\Rightarrow 2\pi r\\\\\Rightarrow 2\times \dfrac{22}{7}\times 63\\\\\Rightarrow 396\ cm\ \text{or}\ \text{3.96}\ m[/tex]
No of revolution made by wheel
[tex]\Rightarrow n=\dfrac{69.89\times 1000}{3.96}\\\\\Rightarrow n=17,648.9899\approx 17,649[/tex]
28. Barrett's mom has a flower vase that is shaped like a perfect cylinder.
The vase has a height of 9 inches, and its radius is 4 inches. What is the
total volume of water that the flower vase can hold?
Answers
Answer:
Vase volume is 452.16 in³
Step-by-step explanation:
The question asks for the volume of a cylinder of radius r and height h. The relevant formula is V = (pi)(r)^2*h
With h = 9 in and r = 4 in, that max volume (of water) is
V = (3.14)(4 in)^2*(9 in) = 452.`16 in³
Comparing Perimeter and Area
Compare the perimeter and area of the original figure to
the perimeter and area of the reduced figure using the
scale factor
Which statements are true about the comparison
between the two figures? Check all that apply.
The scale factor is 2.
The scale factor is
2.
6
The perimeter of the model is the product of the
scale factor and the perimeter of the original
rectangle
The area of the reduced figure is half the area of
the original figure
1
The area of the reduced figure is
times the
3
area of the original figure,
Intro
Done
Answers
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answers
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
please help im desperate no. 48 and 49
Answers
Answer:
48. option C : Substitution
49. Option D : ( 3, 6)
Step-by-step explanation:
3x + y = 15 ------------- ( 1 )
y = 2x ------------------- ( 2 )
Substitute ( 2 ) in ( 1 ) :
3x + y = 15
3x + 2x = 15
5x = 15
[tex]x = \frac{15}{5} = 3[/tex]
Substitute x in ( 2 ) :
y = 2x
y = 2 × 3 = 6
The solution to the system of equation is ( 3 , 6 )
Answer:
C and (3, 6 )
Step-by-step explanation:
(48)
Since given y = 2x the best method of solving is by substitution C
(49)
Given the 2 equations
3x + y = 15 → (1)
y = 2x → (2)
Substitute y = 2x into (1)
3x + 2x = 15
5x = 15 ( divide both sides by 5 )
x = 3
Substitute x = 3 into (2) and evaluate for y
y = 2x = 2 × 3 = 6
solution is (3, 6 )
please evaluate 18-18÷3-5
Answers
Answer:
[tex]=7[/tex]
Step-by-step explanation:
18 - 18 ÷ 3 - 5 =
Divide 18 ÷ 3 first because you have to divide before subtracting.
18 - 6 - 5 =
12 - 5 =
= 7
Hope this helps
Answer:
7
Step-by-step explanation:
thanks for the pts
✌️❤️✌️
12. Three fifths of the children at my party like chocolate ice cream. How many of the 20 children at my party do not like chocolate ice-cream ? ……………………….
13. I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples? There will be 37
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..
15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?
Answers
One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?
Answers
Answer:
Animism
Step-by-step explanation:
Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.
A circle has a radius of 10 cm and a sector of the circle
has an arc length of 10.8 cm.
The angle at the centre of the sector is x.
Calculate the value of x to the nearest degree.
10.8 cm
10 cm
Answers
20 times pi is 62.8
62.8 divided by 10.8 =5.8
360 divided by 5.8 = 62 degree
I hope this will help
if the sum of a number and half of it is 30. find the number.
Answers
Answer:
20
Step-by-step explanation:
Let us represent the number as x. In a similar sense, half the number would be [tex]\frac{x}{2}[/tex]. We know that their sum is 30, so we can write the following equation:
[tex]x+\frac{x}{2} =30\\2x+x=60\\3x=60\\\fbox{x=20}[/tex]
I hope this helps! Let me know if you have any questions :)
Describe the main parts of a proof? ..
Answers
Answer:
Answer Expert Verified
Given; prove; statements; and reasons. Explanation: The given is important information we are given at the beginning of the proof that we will use in constructing the proof. The "prove" is the statement we are trying to prove
Answer:
Sample Response: Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.
Step-by-step explanation:
Have the day you deserve :)
Mason’s dad is renting a car for a 5-day business trip. He is paying a rental fee plus an additional fee for every mile driven (x). The rental cost can be modeled by the equation C=0.25x+200. Which statements are accurate interpretations of this model?
Select all that apply.
A There is a per-mile charge of $200.25 plus the rental fee.There is a per-mile charge of $200.25 plus the rental fee.
B The cost is less than $200 if fewer than 25 miles are driven.The cost is less than $200 if fewer than 25 miles are driven.
C There is a charge of $0.25 per mile in addition to the rental fee.There is a charge of $0.25 per mile in addition to the rental fee.
D There is a $200 charge per day plus $0.25 for every mile driven.There is a $200 charge per day plus $0.25 for every mile driven.
E The cost for renting a car for 5 days is $200, plus the per mile fee multiplied by the number of miles driven.The cost for renting a car for 5 days is $200, plus the per mile fee multiplied by the number of miles driven.
F The cost can be calculated by multiplying the total miles driven by 0.25 and adding 200.
Answers
Answer:
A, C, E, F
Step-by-step explanation:
...............
C= 0.25x + 200 represents the rental cost of renting a car with rental fees of $200 and additional fees per 'x' mile as $ 0.25.
What is equation?" Equation is defined as the representation the relation of variables with the sign of equality."
According to the question,
'x' represents the number of miles
'C' represents the rental cost
Rental fees of a car = $200
Additional fees per 'x' miles = $0.25
As per the condition given we have,
C = 0.25x +200
The given model states that total cost of the car is equals to the rental fees of the car is $200 and the additional fees per 'x' miles is $0.25.
Hence, Option(C), Option(E) and Option(F) are the correct answer.
Learn more about equation here
https://brainly.com/question/10413253
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Determine a function a(w) that models the area of the top surface of the swimming pool in terms of the width , w
Answers
Answer:
[tex]A(w) = (40 - w) * w[/tex]
Step-by-step explanation:
Given
[tex]P = 80[/tex] ---- perimeter
Required
Write the area as a function of width
The perimeter of a rectangle is:
[tex]P =2(l + w)[/tex]
Where
[tex]l \to length\\ w \to width[/tex]
So, we have:
[tex]80 = 2*(l+w)[/tex]
Divide by 2
[tex]40 = l + w[/tex]
Make l the subject
[tex]l =40 - w[/tex]
The area of a rectangle is:
[tex]A = l * w[/tex]
Substitute: [tex]l =40 - w[/tex]
[tex]A = (40 - w) * w[/tex]
Hence, the function is:
[tex]A(w) = (40 - w) * w[/tex]
can someone help me on this please
Answers
Answer:
The answer is Option A
Step-by-step explanation:
Start by dividing 54 by 6 which will give you 9
then divide b² by b^5 which will give you b³ at the denominator
then a^8÷a^-4
using indices...
=a^8-(-4)
=a^12
at the numerator
put everything together and you'll have...
9a^12/b³
A. [tex] \frac{9 \: {a}^{12} }{ {b}^{3} }[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]54 {a}^{8} {b}^{2} \div 6 {a}^{ - 4} {b}^{5} [/tex]
To solve the expression in a simpler way, single out the like terms.
Now, we have
[tex] \frac{54}{6} . \frac{ {a}^{8} }{ {a}^{ - 4} } . \frac{ {b}^{2} }{ {b}^{5} } \\ \\ = 9 \: {a}^{8 - ( - 4)} {b}^{2 - 5} \\ \\ (∵ \frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n} ) \\ \\ = 9 \: {a}^{8 + 4} {b}^{ - 3} \\ \\ = 9 \: {a}^{12} {b}^{ - 3} \\ \\ ( \: or \: ) \\ \\ = \frac{9 \: {a}^{12} }{ {b}^{3} } \\ \\ (∵ {a}^{ - m} = \frac{1}{ {a}^{m} } )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
A_____ function is a function that can be expressed as the quotient of two polynomial functions in wich the denominator does not equal zero. A.rational B.division C.relationship D.polynomial
Answers
Answer:
rational
Step-by-step explanation:
that is literally the definition of a rational number, just change the part where it says function to number and polynomial functions to number as well.
Which grid shows only a translation of the shaded polygon to create the unshaded polygon?
A
B
C
D
Answers
Make the scale balanced.
Answers
(5-2)9=27
The answer is 27
They both need to equal the same number to be equal
Explain how geographic factors impacted the early river valley civilization.
Answers
Ample water resources help them to feed, bath, wash and to do so many domestication works.
River valley means fertile plains, which is so good for agriculture as they can grow lots of different varieties of crops. They didn't have to be depend upon rain.
It helped in transportation, which were used for trading and movement from one place to another.
It protects them from enemy as at a time so many person can't attack over the residing civilization.
there are 6 red 4 green 5 yellow and 5 blue marbles in a jar what is the probability of picking a green marble then blue
Answers
Answer:
Find the volume of this prism.
Jose measured a small granola bar in the shape of a rectagular prism. It was 5 mm tall, 50 mm long, and 30 mm wide. He stacked the 2 granola bars on top of each other. What is the colume fot he 2 stacked granola bars
Answers
Answer:
15,000 mm^3
Step-by-step explanation:
volume of the 2 stacked granola bars = volume of one granola bar x 2
volume of one granola bar = Volume of a prism = base area x height
5 x 55 x 30 x 2 = 15,000
Unit Test Unit Test Review Active 6 8 9 5 7 10 3 4 1 N A direct variation function contains the points (-9, -3) and (-12, 4). Which equation represents the function? O y = -3x 3 O y=- o y= 2/3 O y = 3x
Answers
Answer:
y = -7/3x -24
Step-by-step explanation:
I don't find this in the list of options. did you type everything correctly?
Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.
Answers
Answer:
<1
Step-by-step explanation:
A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answers
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
help me please i don't know what i'm doing please help
-9
9
Answers
Answer: -1/9
Step by step explanation:
The common difference of an arithmetic sequence can be found by picking 2 consecutive terms, and subtracting the second from the first. For example, if I chose the terms 2 and 1 8/9, I would find the common difference by:
1 8/9 - 2, which is equal to -1/9.
You can confirm this by picking another pair of consecutive terms. Let's pick 1 7/9 and 1 2/3:
1 2/3 - 1 7/9 = -1/9, as 1 2/3 = 1 6/9, so 1 6/9 - 1 7/9 = -1/9

PLS help me with this. And I am so sorry if im troubling you
Answers
Answer:
a=70 vertically opp angles
b=80 linear pair
c=100 corresponding angles
d= 80 linear pair with c
e= 180 -a-d
=180-70-80
=30
PLEASE HELP ME PLEASEEEEEEEEE HELP
Answers
Answer:
Step-by-step explanation:
x^2+4x+3
we need to factorise this
So (x+1)(x+3)
X=-1 x=-3
Hope that helps.
How do you solve this equation ? 25 − 3 x = 40
Answers
Answer:
x = -5
Step-by-step explanation:
25 - 3x = 40
3x = -15
x = - 5
Answer:
x = -5
Step-by-step explanation:
25 − 3x = 40
-3x = 15
x = -5
Someone help me with this please
Answers
Answer:
Hi, there the answer is -1
Step-by-step explanation:
Any fake or incorrect and links will be reported and you will have all answers taken away
Write a simplified expression for the perimeter of the triangle.
Answers
Answer:
Perimeter = 6s + 9 units
Step-by-step explanation:
Perimeter = 2s + 4 + 4s + 2 + 3
= 2s + 4s + 4 + 2 + 3
= 6s + 9 units
A castle guard is standing on the opposite side of an 8-foot moat and wants to reach a window that is 15 feet above the ground. The guard
props a ladder against the castle wall to form a right triangle as shown. Approximate the length of the ladder needed to reach the window to
the nearest tenth of a foot.
Answers
Using the Pythagorean Theorem, it is found that the length of the ladder needed to reach the window is given by:
a. 17.0 ft.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem, the length of the ladder in feet is the hypotenuse, considering legs [tex]l_1 = 8, l_2 = 15[/tex].
Hence:
[tex]h^2 = 8^2 + 15^2[/tex]
[tex]h = \sqrt{8^2 + 15^2}[/tex]
h = 17.0 ft.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/26396675
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