Answer:
15.
If we look at angle BOD, that would form a right angle (90°), given that one part of that whole angle is 30°, the other would be;
30° + x = 90°
-30 -30
x = 60°, therefore ∠BOC = 60°.
If we take a look at angle EOC, we can see that that angle is a straight angle (180°), we can also see that a right angle (90°) is a part of that angle alongside the angle we just previously found (60°). So all of those angles plus the unknown angle (AOE) which we will consider 'x' summed up would result in 180 degrees.
Now we set up the equation;
90° + 60° + x = 180°
150 + x = 180
-150 -150
x = 30°, therefore ∠AOE = 30°.
16.
The sum of the interior angles in a triangle will always equal 180°. (We can also confirm this using the formula (n - 2) x 180.)
Given two of the angles, we must add them and the unknown angle(D) which we will consider 'x' to make it result in 180°.
Now we set up the equation;
55° + 18° + x = 180°
73 + x = 180
-73 -73
x = 107°, therefore ∠EDF = 107°.
17.
To find angle P, we must first find the supplement of 34° because 34° and the angle beside forms a straight angle (180°).
Set up an equation;
34 + x = 180
-34 -34
x = 146°, now that we've found the supplement, we add this supplement with the other given angle (23°) because all three angles (unknown angle which we will consider x + 23 + 146) will equal 180°(sum of interior angles of triangle).
146° + 23° + x = 180°
169 + x = 180
-169 -169
x = 11°, therefore ∠QPR = 11°.
18.
Seeing that the bigger triangle has a 90° angle (indicated with a square), and two other equal angles(indicated with the two lines on both legs of the big triangle), we solve for those two missing equal angles in the bigger triangle which we will then use to solve for the smaller triangle's angle.
2x + 90° = 180°
-90 -90
2x = 90
/2 /2
x = 45°, so now we know the two angles in the bigger triangle excluding the right angle.
One of those equal angles is vertical to the smaller triangle, and vertical angles are congruent.
Hence, the angle vertical to the bigger triangle in the smaller triangle will be 45°.
Now we solve for ∠CDE.
Add the two angles and the missing angle to equal 180°.
Set up the equation;
86° + 45° + x = 180°
131 + x = 180
-131 -131
x = 49°, so ∠CDE = 49°.
Solve for x.
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A
B
What is the length of BD?
A. 5 units
B. 10 units
C. 20 units
D. There is not enough information to determine the length of BD
Answer:
what is the length of bd?
my answer is:
Letter B.10 units in my opinion
i hope it helps
Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?
The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.
What is a rectangle?A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.
The length of the diagonal (x) can be determined using Pythagoras, hence:
x² = 15² + 8²
x = 17 feet
The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.
Find out more on rectangle at: https://brainly.com/question/25292087
HelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelp
Brainliest pls
Answer: 79
Step-by-step explanation:
ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
- 25% of the students voted for the aquarium
- 120 students voted for the zoo
What is the total number of students at Beach Middle School?
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get 160
Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000?
Answer:
54861/1000 convert to a decimal = 54.861
What are the solutions to the quadratic equation (x + 4)(3x - 5) = 0?
Answer:
x = 4x = 5/3Step-by-step explanation:
Given :
⇒ (x + 4)(3x - 5) = 0
The solutions will make the answer 0.
Therefore,
x + 4 = 0 3x - 5 = 0⇒ x = 4
⇒ 3x = 5 ⇒ x = 5/3
Calculate the perimeter of of the shape below. Show you work
Answer:
22 is the perimeter.
Step-by-step explanation:
You find the perimeter by adding up all of the sides of a shape. 9 + 9 = 18. 18 + 4 = 22.
Distribute to create an equivalent expression with the fewest symbols possible.
6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
Using the distributive property, it is found that the equivalent expression is:
18c - 30d + 36
What is the distributive property?It is a property that the outside term multiplies each of the inside terms.
In this problem, the expression is:
6(3c - 5d + 6).
Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:
6(3c - 5d + 6) = 18c - 30d + 36.
More can be learned about the distributive property at https://brainly.com/question/2807928
B. Study the figure on the right.
1. Name the points on it
2 Name any three segments from the figure,
3. Which segments have B as one endpoint?
4. Which points are endpoints of only two segments?
5. Which points are endpoints of three segments?
6. Which point is the endpoint of six segments?
7. Name the lines with A as one of the points on them.
8. Name any three rays from the figure, 9. How many segments are there in the figure?
10. How many rays can be named from the figure?
Answer:
can you clear more I don't understand
What is the answer to this?
Answer:
0.216 cubic feet
Step-by-step explanation:
v = lwh (volume = length times width times height)
v = 0.6 x 0.6 x 0.6 OR 0.6^3
v = 0.216
Question 7 of 10
One spring, a group of students measured rainfall totals at their school. This
chart shows how many inches of rain the students measured each month.
How many more inches did it rain in May than in April?
RAINFALL
MONTH
March
April
May
5.7
3.2
7.3
Help me god
Answer:
9
Step-by-step explanation:
10
4. Find the arc length.
Find the circumference:
8km x 2 x 3.14 = 50.24 km
Arc length = 50.24 x 225/360 = 31.4 km
answer: C. 10 pi or 31.4 km
does anybody know the answer to this question?
Answer: 56 yd
Step-by-step explanation: if you continue the 8 yd line across, it would show that the missing side is 4yd less than the 13 yd side, meaning the missing side is 9 yd long. So after adding 7 + 13+ 15+ 4 + 8 + 9= 56 yd
Can yall please help me on this one question.. im not good at this part..
Answer: part A I think 100 cause its 100 place value umm for part B is I can say 20
i really don't know but I'm not good at it either LOL
Sandro plans to travel to work by train on 20 days next month. He can buy a monthly ticket costing £262 or 20 separate tickets costing £15.70 each ticket. What percentage of the total cost of 20 separate tickets does Sandro save by buying a monthly ticket? Give your answer correct to 1 decimal place.
20 separate tickets in total costs £314.
Now we should find out what percentage 262 is of 314.
262÷314×100=83.4%
if 262 is 83.4% of 314, then Sandro saves (100%-83.4%) 16.6%.
ANSWER 16.6%
qartveli xar mgoni dd
For each item, find the product of the complex number and its complex conjugate. Show your work.
(a) 10-14i
(b)-5-12i
(c) 8+3i
(d) - 9-5i
Answer:
114
Step-by-step explanation:
Here is the first one.....you should be able to do the others
(10-14i)(10+ 14i) expand
100 + 140i - 140i - 14i^2
100 - 14i^2 remember i = sqrt (-1) so i^2 = -1
100 - (14 *-1)
114
Help me
Question
Find mHK⌢.
Answer:
62
Step-by-step explanation:
(x+8)=(2x-15)
8=x-15
+15 +15
23=x
so
23 +8 = 31
23x2-15 = 46-15 =31
Both are the same always since one side is equal to the other
Therefore
62 is the answer!
Can anyone please solve this? I need it to be right.
Answer:
65
Step-by-step explanation:
[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]
How tall is this building?
Answer:
The building is 86.6 m tall.
Step-by-step explanation:
Coh Cah Toa
Coh: sin(theta) = Opp/Hyp
Cah: cos(theta) = Adj/Hyp
Toa: tan(theta) = Opp/Adj
Using Toa.
tan(theta) = Opp/Adj
tan(60°) = x/50
x = 50 * tan(60°)
x = 50 * √(3)
x ≈ 86.60254038
x = 86.6 m
A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
population are albino. Based on the results of this study, how many tigers in the population
are NOT albino?
========================================================
Explanation:
6/150 = 0.04 = 4% of the population are albino.
That leaves 100% - 4% = 96% that aren't albino.
96% of 1200 = 0.96*1200 = 1152
------------
Another way to look at it:
4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.
This means there are 1200-48 = 1152 non-albino tigers.
Xavier opened a savings account with a deposit of $12,000. the account earned simple interest. he did not make any additional deposits or withdrawals. at the end of 3 years, the account balance was $12,324. what is the annual interest rate on this account? question 5 options: 0.9% 1.8% 2.7% 3.6%
Answer:
0.9%
Step-by-step explanation:
I took the test
The graph of p = 400 and the graph of p = 50s – 200 intersect at the point (12,400). If the equation p = 50s – 200 represents the profit, p, based on s sales, what does the intersection best represent?
a. When the sales are 400, the profit is 12.
b. When the sales are 12, the profit is 400.
c. The profit is always 400.
d. The sales are always 12.
A bullet fired up in the air attains a height of g(x) = 14x2 + 48x - 4 feet after x seconds. Find the
average rate of change of g between X = 1 and X = 3
Answer:
104ft/s
Step-by-step explanation:
[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(1)}{3-1}=\frac{266-58}{2}=\frac{208}{2}=104[/tex]
Thus, the average rate of change of the function between x=1 and x=3 is 104ft/s
help!
this is urgent
i need it rn
ty in advance
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation:
1. Find the equation of a line passing through the points (1,-2) and (-3,10).
Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.
[tex]\boxed{Slope = $\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}$}[/tex][tex]\boxed{Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}}[/tex]
[tex]=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3[/tex]
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
The graph of the function f(x)=x^2-6x shifted 2 units to the left on the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x)
(-4,9), (8,-7)
The endpoints of a diameter of a circle are given. Write the standard equation of the circle.
Answer:
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
Step-by-step explanation:
distance between points is diameter
x^2= (8--4)^2+(-7-9)^2
x^2=12^2+16^2
x^2=144+256
x^2=400
diameter x=20 so radius =10
center point =midpoint (-4+8)/2 and (-7+9)/2
center point =(2,1)
(x-2)^2+(y-1)^2 = 10^2
(x-2)^2+(y-1)^2 = 100
Please help fast i I’ll give brainliest
Answer:
The answer is B. 1/4^8
Step-by-step explanation:
Every time the power it to the negative it inverse it.
An example, 2^-2 = 1 / 2^2
So, 4^-8 = 1 / 4^8
I need help please, Its for today
Answer:
a) 1,2; 3.4
b) <1=<6, <6+<6+72=180, 2<6=108, <6=54.
<1=54
You can tell this by "these are parallel lines"