Answers
[tex]x + 105 + 113 + 75 = 360[/tex]
[tex]x + 293 = 360[/tex]
[tex]x = 360 - 293[/tex]
[tex]x = 67[/tex]
As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;
[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]
[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]
[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]
[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]
Related Questions
What is the area of this triangle?
Enter your
answer as a decimal in the box. Round only your final
answer to the nearest tenth. 8, 28, 7
Answers
Answer:
13.1 cm² (nearest tenth)
Step-by-step explanation:
Use the sine rule for area of a triangle with 2 sides and an included angle (SAS).
Sine rule for area
[tex]\textsf{Area ABC}=\dfrac12ab \sin C[/tex]
(where [tex]a[/tex] and [tex]b[/tex] are the side lengths and [tex]C[/tex] is the included angle)
Given:
[tex]a[/tex] = 8 cm[tex]b[/tex] = 7 cm[tex]C[/tex] = 28°[tex]\implies \textsf{Area}=\dfrac12\cdot 8 \cdot 7 \cdot\sin (28\textdegree)[/tex]
[tex]=13.14520376...[/tex]
[tex]= 13.1 \textsf{ cm}^2 \textsf{ (nearest tenth)}[/tex]
Use sine rule
Area:-
[tex]\\ \sf\longmapsto \dfrac{1}{2}Base\times Height sin\theta[/tex]
[tex]\\ \sf\longmapsto \dfrac{1}{2}(8)(7)sin28[/tex]
[tex]\\ \sf\longmapsto 28sin28[/tex]
[tex]\\ \sf\longmapsto 13.1cm^2(Approx)[/tex]
35 % as a decimal rounded to the nearest thousandths place
Answers
Answer:
Enter any decimal value and get the number rounded to its nearest thousandths in ... Step 2: Now, look at the digit, which is next to the thousandth place.
A circle with a diameter of 10 inches has a circumference of a square, what is the length of each side of the square?
Answers
The circumference is πd, and the diameter is 10, so the circumference is 10π. All sides of a square are equal, so the length of each side is 10π/4, which is 2.5π.
The length of each side of the square is 2.5π
Translate the sentence into an equation.
Seven times the sum of a number and 8 eguals 5.
Use the variable b for the unknown number.
Answers
Answer:
7(b+8) = 5
Hope this helps!
Identify the vertex of the parabola?
Answers
Hi!
The vertex is the highest or lowest point on a graph, also known as the maximum/minimum. It is the turning point for the parabola.
In this case, it has a maximum, because the parabola points downward.
Using the graph, we can see the vertex is at point
(3, 4)
Answer:
(3,4)
Step-by-step explanation:
The vertex is a point that is the maximum or minimum of the parabola. (3,4) is the highest point on that parabola so it's a vertex
Which statement accurately describes the graph 2y=4x+8?
A
an increasing line that passes through (0, 4)
B
a decreasing line that passes through (0, 0)
C
an increasing line that passes through (0, 8)
D
a decreasing line that passes through (0, 2)
Answers
By rewriting the linear function we will see that the correct option is A.
"an increasing line that passes through (0, 4)"
Which statement describes the graph?
Here we have the linear function:
2y = 4x + 8
We can rewrite it to get the function in the slope-intercept form:
y = (4x + 8)/2
y = 2x + 4.
So, the slope is positive, this implies that we will have an increasing line.
We also can see that the y-intecept is 4, this means that the line passes through the point (0, 4).
From that, we can conclude that the correct option is A.
If you want to learn more about linear functions, you can read:
https://brainly.com/question/4025726
Need help I’m stuck on 4 of these
Answers
Answer:
a^8/b^12 --> a.k.a answer d
Step-by-step explanation:
when there's an exponent outside of a parenthesis of exponents inside, you're basically just going to multiply them together. not add or anything
2 * 4 = 8
3 * 4 = 12
and we cant divide or do anything else with the product b/c a and b are both different variables and we don't know what they are
Find the midpoint of the line segment joining the points R(-5,3) and S(1.6)
Answers
Answer:
(-2, 4.5)
Step-by-step explanation:
The midpoint formula is [tex](\frac{x_{1} +x_{2}}{2} ,\frac{y_{1} +y_{2}}{2})[/tex]
(-5+1/2, 3+6/2)
(-4/2, 9/2)
Your answer will be (-2, 4.5)
When recording a transaction in a journal, the account listed first is always the:
Answers
Answer:
da te
Step-by-step explanation:
how do I do this problem?
Answers
Answer:
Step-by-step explanation:
you need to plug in
A vehicle purchased for $32,500 depreciates at a constant rate of 5%. Determine the approximate value of the vehicle 12 years after purchase
Answers
Answer:
19,2000
Step-by-step explanation:
Simplify the expression below.
(x6)(x2)
A. x4
B. x6
C. x8
D. x12
Answers
Answer:
C. X8
Step-by-step explanation:
correct me if im wrong
Answer:
See below.
Step-by-step explanation:
The answer would be x^8.
When multiplying exponents, you add them, rather than actually multiplying.
-hope it helps
Megan has a case shaped like a right prism. She knows that the area of the base of the case is 16 in and the volume of the case is
352 in
What is the height of Megan's case?
O 17 in
22 in
27 in
32 in
Answers
Answer:
22 in
Step-by-step explanation:
volume of a right prism = area of base x height
Given:
volume = 352 in³area of base = 16 in²⇒ 352 = 16 × height
⇒ height = 352 ÷ 16
⇒ height = 22 in
Height be x
Volume=Area of base×height[tex]\\ \rm\rightarrowtail 16x=352[/tex]
[tex]\\ \rm\rightarrowtail x=352/16[/tex]
[tex]\\ \rm\rightarrowtail x=22[/tex]
x=(a+b)/2 solve for a
Answers
Answer:
a=2x-b
Step-by-step explanation:
[tex]x=\frac{a+b}{2}\\\\\frac{a+b}{2} = x\\ a+b = 2x\\a= 2x-b\\[/tex]
A car travels 568km in 8 1/2 hours. What is the average speed in meters/second?
Answers
Answer:
The speed would be 60kph
60/60=1
Step-by-step explanation:
60x24=1,440
It would at a speed of 1,440km per day.
In a year it would go 525,600 km.
Every nanosecond it would go 0.0001 cm.
Find the quotient of 1/4 divided by 7
Answers
Answer: 1/4/7=1/28
You’re welcome good luck to whatever you’re working on. Give brainliest please for my answer.
here’s why:
in order to divide fractions, you must multiply straight across. but, only when diving, you flip the 2nd fraction. we know that 7 has an invisible 1 under it, but since we’re dividing, we must flip it to 1/7.
so, you should now hove something that looks like this;
1 1
- x -
4 7
so simply, if multiplied correctly across, you should end up with 1/28.
1 x 1 = 1
7 x 4 = 28
hope this helps!
The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle
Answers
Step-by-step explanation:
use the above picture as a reference and solve
Answer:
36°
Step-by-step explanation:
So, the angle measure of x+15 is 36 because x = 21
The angle measure of 3x-9 is 54, but this is bigger than the one before.
So, the smallest angle is 36
Please give the other person brainliest cause they deserve it more than me.
the length of a rectangular playground is three three times its width if it has a perimeter of 88m
, what are the dimensions of the playground
Answers
Step-by-step explanation:
Length=l
Width=w
l=3w
Perimeter of a rectangle=2(l+w)
2(l+w)=88
l+w=44
3w+w=44
4w=44
w=11
l=3w=33
These points are linear.
Find the slope.
x0 |1 |2|3|4|5
y|0|2|4|6|8|10
slope = [?]
Answers
Answer:
Step-by-step explanation:
x₁ = 0 ; y₁=0 &
x₂ = 1 ; y₂=2
Slope =[tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\dfrac{2-0}{1-0}\\\\\\=\dfrac{2}{1}\\\\\\= 2[/tex]
Slope = 2
If Mike has m pencils and Jen has three times as many pencils as Mike, how many more pencils does Jen have?
Answers
Answer:
If Sarah has three times as many pencils as Mike she has 3 times the number of pencils Mike has which is equivalent to 3 * m. That means Mike has m pencils and Sarah has 3m pencils. they have m + 3m pencils. The expression would be total: m + 3m.
Step-by-step explanation:
THIS IS URGENT. PLEASE HELP. given AC=30, find the value if x, and the length of BC
Answers
Answer:
The value of x is 4.8. The length of BC is 14.6.
Step-by-step explanation:
I combined the two expressions 3x+1 and 2x+5 to 5x+6=30
1. I subtracted 6 from 6 and 30 in the equations.
2. I was left with 5x=24
3. I then divide 5 from 5x and 24
4. I got x=4.8
To get the length of BC
2x+5
1. I multiplied 2×4.8
2. I got 9.6
3. I then add 5 to 9.6
4. I finally get the answer 14.6 which is the length of BC
Answer:
[tex]\overline{BC}=14.6[/tex]
Step-by-step explanation:
we know that
[tex]\overline{AC}=\overline{AB}+\overline{BC}[/tex]
so
[tex]30=3x+1+2x+5\\\\30=(3x+2x)+(1+5)\\\\30=(3+2)x+(1+5)\\\\30=5x+(1+5)\\\\30=5x+6\\\\5x+6=30\\\\5x+6-6=30-6\\\\5x+0=30-6\\\\5x=30-6\\\\5x=24\\\\\frac{1}{5}(5x)=\frac{1}{5}(24)\\\\\frac{5}{5}x=\frac{1}{5}(24)\\\\\frac{1}{1}x=\frac{1}{5}(24)\\\\x=\frac{1}{5}(24)\\\\x=\frac{24}{5}\\\\x=4.8[/tex]
and now we solve for BC
[tex]\overline{BC}=2x+5\\\\\longrightarrow x=4.8\longleftarrow \\\\\overline{BC}=2(4.8)+5\\\\\overline{BC}=9.6+5\\\\\overline{BC}=14.6[/tex]
so that's our answer
Question 5 Simplify x²-9 / x+3
Answers
Answer:
Step-by-step explanation:
[tex]\frac{x^{2}-9 }{x+3}[/tex]
you factorize x²-9 to get (x+3)(x-3)
that would now be [tex]\frac{(x+3)(x-3)}{x+3}[/tex]
x+3 would cancel out the other x+3
then you would be left with (x-3)
Answer:
Hello there buddy I’m MrsNobody and I’m here too help you
Your answer is
x+3)(x−3)x+3
Cancel the common factor.(x+3)(x−3)x+3(x+3)(x-3)x+3
Divide x−3x-3 by 11.
Answer;x−3
Hope it’s helps you buddy
I’m sorry if my answer is wrong
Have a nice day
Good luck with your homework
Step-by-step explanation:
~MrsNobody
The ratio of boys to girls at a movie is 4:7 . If there are 21 girls, how many boys are at the movie?
Answers
Answer:
12 boys
Step-by-step explanation:
i took the 7 that represents the girls and multiplied by 3 to get 21 (how many girls are there)
So then i took 4 multiplied 3 and thats how i got the answer 12 (brainllist Plz!)
Which is the product of (x^2- x + 9)(x – 3)?
Answers
9514 1404 393
Answer:
x^3 -4x^2 +12x -27
Step-by-step explanation:
Use the distributive property.
= (x^2 -x +9)(x) +(x^2 -x +9)(-3)
= x^3 -x^2 +9x -3x^2 +3x -27
= x^3 -4x^2 +12x -27 . . . . . collect terms
suppose the height of the members of a population follow its normal distribution. If the mean height of the population is 72 inches and the standard deviation is 3 in, 68% of the population would have a height within which range? NO LINKS!!!
Answers
Answer:
○ B. [tex]\displaystyle 69\:inches\:to\:75\:inches[/tex]
Explanation:
The Empirical Rule states that sixty-eight percent of the population will be within one standard deviation of the mean in height. Therefore, you perfourm the operations below:
[tex]\displaystyle \boxed{75} = 3[1] + 72 \\ \boxed{69} = -3[1] + 72[/tex]
I am joyous to assist you at any time.
Find upper range and lower range by adding and subtracting standard deviation respectively.
Lower range
Mean-Standard deviation72-369Upper range:-
Mean+standard deviation72+375Option B is correct
Kristen worked 39 hours in 6 days.
If Kristen worked the same number of hours each day, how many hours did she work each day? Write an equation to show how you solved the problem.
Answers
Answer:
6.5 hours per day
$321.75
Step-by-step explanation:
Given Kirsten worked 39 hours in 6 days:
Number of hours worked in one day = 39 ÷ 6 = 6.5 hours
Given Kirsten is paid $8.25 per hour:
Total pay for 39 hours = 39 × 8.25 = $321.75
select the digit in the thousands place for 689,234
Answers
Answer:
the answer to thus question is 9
Answer:
9
Step-by-step explanation:
1,000
fourth digit every time, unless a number is a decimal,
A jar containing 12 brown M&Ms and five yellow M&Ms what is the ratio of yellow M&Ms to brown M&Ms
Answers
Answer:
5:12
Step-by-step explanation:
you can't simplify your answer so it will be
5:12
4•5+-4 pls help help help help help
Answers
Answer:
16
Step-by-step explanation:
1. Use acronym PEMDAS (parentheses, exponents, multiplication/division, addition/subtraction) to determine the order of operations.
2. Since there are no parentheses or exponents, multiply first:
4*5=20
3. Now, the expression reads 20+-4. Adding a negative is the same as subtracting that value.
20-4=16
Hope this helps!!
The Boy Scouts had a car wash to raise money for summer camp. They washed an average of 12 cars per hour. If the car wash lasted 6 ½ hours, how many cars did they wash?
Answers
Answer:
78
Step-by-step explanation:
you juat multiply the average to the 6 1/2 hours and get 78.
hope this helped.