Answers
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]
Step-by-step explanation:
✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]
The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.
❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]
☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]
∠B = 3x°∠ C = 4x°∠ A = 2x°☄ [tex] \underline{ \sf{To \: Find :}}[/tex]
Measure of C✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]
[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]
→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]
→ [tex] \sf{9x = 180 \degree}[/tex]
→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]
→ [tex] \sf{x = 20 \degree}[/tex]
The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :
[tex] \text{∠c = 4x}[/tex]
→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]
→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]
Hence , The measure of ∠ C is 80 °
Hope I helped ! ッ
Have a wonderful day / night ! ♡
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Related Questions
PLEASE HELP MEE
Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?
( A ) Each sandwich has one half pound of ham.
( C ) Each sandwich has 1 pound of ham.
( D )Each sandwich has 2 pounds of ham.
Kevin has one half pound of ham left over.
Answers
Answer:
( D )Each sandwich has 2 pounds of ham.
Answer:
1/2 of ham
Step-by-step explanation:
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=5, a=3
Answers
Answer:
b = 4
Step-by-step explanation:
Try setting up the equation of the pythagorean theorem.
hypotenuse^2 = leg(a)^2 + leg(b)^2
c^2 = a^2+b^2
Now substitute what you know and solve for the unknown.
5^2 = 3^2+b^2
25 = 9 + b^2
b^2 = 25-9 = 16
b = 4.
Determine whether each number is a solution of the
given inequality
8m - 6 < 10
when m = 3
O YES (m = 3 is a solution of the inequality)
o NO (m = 3 is not a solution of the inequality)
Answers
Answer:
NO (m = 3 is not a solution of the inequality)The line graph is also attached below.
Step-by-step explanation:
Given
[tex]8m-6<10[/tex]
Add 6 to both sides
[tex]8m-6+6<10+6[/tex]
Simplify
[tex]8m<16[/tex]
Divide both sides by 8
[tex]\frac{8m}{8}<\frac{16}{8}[/tex]
Simplify
[tex]m<2[/tex]
Therefore, m = 3 NOT a solution of the inequality because 'm' must be less than 2.
Hence,
NO (m = 3 is not a solution of the inequality)VERIFICATION:
Given
[tex]8m-6<10[/tex]
substitute m = 3
8(3) - 6 < 10
24 - 6 < 10
18 < 10
FALSE
GIVING OUT BRAINLEST!!
Enter the range of values for x
Answers
Answer:
I need help w this question to answer it plz!
Answer:
Step-by-step explanation:
You will need to add a picture
what are the next 3 terms of the sequence-3, -7, -11, -15?
Answers
Answer: -19, -23, -27
Step-by-step explanation:
You minus/subtract 3 each time to get your next three terms
Combine like terms : 2x+5x+10x
Answers
Answer: =17x
Step-by-step explanation: hope this help, hope you understand it too.
Let's simplify step-by-step.
2x+5x+10x
Combine Like Terms:
=2x+5x+10x
=(2x+5x+10x)
=17x
7/8pq + 5/16pq
someone please help me
Answers
19/16 or 1 3/16 :D I hope this helped u
Find the slope of the line containing the points (0, 3) and (-6, 1)
Answers
Step-by-step explanation:
To find the slope of any linear line you would have to use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
(-6 , 1) = ([tex]x_{2}[/tex], [tex]y_{2}[/tex])
(0 , 3) = ([tex]x_{1}[/tex], [tex]y_{1}[/tex])
Now you would insert the values into the formula....
[tex]\frac{1-3}{(-6)-0}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex]
1/3 is your answer.
If you want to check your answer, you would use the formula mx + b= y
m= slope
x = the x-coordinate in either of the coordinates
b= the y-intercept
y = the y-coordinate of the coordinate you chose
mx +b = [tex]\frac{1}{3}[/tex](-6) +3 = -2 +3 = 1
1/3 is the correct answer
Hope this helps!!!
Larry bought a lawn ornament that was marked down 60% from an original price of $75. If he paid 10% sales tax, what was the total cost of the lawn ornament?
Answers
Answer:
$33
Step-by-step explanation:
Hope this helps!
I NEED HELP ON SIMPLIFYING THIS SOMEONE HELP
Answers
Answer:
I think it is 3^8
Step-by-step explanation:
(3^5)^2
÷
3^-2
3^10
÷
3^-2
=3^8
Sarah completed about 85% of her school homework. Her friend Emily completed x percent homework more than Sarah. Which expression represents the percent of homework Emily completed?
Answers
Answer:
Step-by-step explanation:
85-x=100
85 represents sarah's hw
x represent Emily's hw
100 represents total completion
Answer:
85 + x
C is the answer
Step-by-step explanation:
HELP ALERT ALERT MATH PROBLEM
Answers
Can somebody help me with this one thank you.
Answers
Answer:
3/4
Step-by-step explanation:
6/8 divided by 2 is 3/4
1)-9+6h > 39
solve each inequality
Answers
Answer:
H < 8
Step-by-step explanation:
-9+6h>39
Add 9 to the -9 and the 39
6h>48
Divide the 6 and the 48 by 6, then flip the > to a <
h = 8
I hope this helps you out!
first come first serve 25 points answer whatever first will get brainlyiest
Answers
Answer:
yo
Step-by-step explanation:
yo
Answer:
thanks dude
Step-by-step explanation:
:)
NEED ANSWER ASAP:
Write the ratio as a fraction in simplest form.
2 1/3 feet : 4 1/2 feet
Answers
Answer:
14/27 feet
Step-by-step explanation:
2 1/3 feet : 4 1/2 feet
= 7/3 : 9/2
= 7/3 ÷ 9/2
= 7/3 × 2/9
= (7*2)/(3*9)
= 14/27 feet
2 1/3 feet : 4 1/2 feet = 14/27 feet
simplify using a positive exponent : 2 ^-3
Answers
Answer:
1/2^3
Step-by-step explanation:
When an exponent is negative you flip the fraction, in this case from numerator to denominator.
1/2^3
Step-by-step explanation:
In 1970, the median home value was $20,000. By 2020, the median home value was $320,000. What is the percent increase in home value in those 50 years?
Answers
Answer:
1500%
Step-by-step explanation:
The formula for Percentage increase is
Increase/ Initial Amount × 100
Increase = Current Amount - Initial Amount
Increase = $320,000 - $20,000
Increase = $300,000
Percentage Increase =
$300,000/$20,000 × 100
= 1500%
The percent increase in home value in those 50 years is 1500%
4.
Cindy can read 8 pages of her book in 6
minutes. How long will it take her to
read 70 pages
Answers
Answer:
??????????????? fuсk you
Step-by-step explanation:
fuсk you fuсk you fuсk you fuсk you fuсk you
just please help help help help
Answers
Answer:
C.{(-3,10),(-2,5),(1,2),(-2,-4)}
Please help down below
Answers
Answer:
The answer is B
Hope this helps
Answer:
The first answer
Explanation:
Ok I added an explanation lol-
So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)
C doesn't even make sense 6-6
And D isn't 5 2/5 it's 7 2/5
Mr. Lim is building a deck. He cuts a 9 foot piece of wood into
3 pieces of the same length. How long is each piece of wood?
Show your work.
Answers
Answer: 3
Step-by-step explanation: 9/3=3
a rectangle is 11 inches long and 8 inches wide how do I find its area
Answers
Answer:
A = 88 in^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A = 11 (8)
A = 88 in^2
Define a variable, write an inequality, and solve each problem.
9. The sum of a number and five is more than negative seven.
Answers
Answer:
x+5>-7
Step-by-step explanation:
The sum of a number and five translates to x+5. It then states that this expression is more than negative seven, therefore you use a greater than sign to get x+5>-7
Help pls! Extra p! Thank youu
Answers
Answer:
(C) 48 ft^3
Step-by-step explanation:
Volume=L*W*H=6*4*2=24*2=48, making the correct choice (C) 48 ft^3
What is the constant for 5c2+7d
Answers
Answer:
2
Step-by-step explanation:
5 and 7 are the coefficients if you need them
help plz due today i dont want to fail!
Answers
Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3
Answers
Answer:
-3
Step-by-step explanation:
[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]
Answer:
-3
Step-by-step explanation:
i forgot how to do the log thingy but the guy on top is also correct
NEED HELP A triangle is cut from a rectangle. The height of the triangle is half of the unknown side length s. The area of the shaded region is 84 square inches. Write an equation you can use to find the side length s. An equation is =84.
Answers
Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
Please help me answer this.