Please help lol
Answer options:
A. (2.5,4)
B. (2,3)
C. (1.5,3)
D. (2,3.5)
11. Your class is taking a trip to a museum that is 190 miles away. The bus can travel at 55
miles per hour. At least how many hours should your class plan for the trip to the museum?
Can anyone please do these questions? This is Unit 1 Geometry basics Homework 5 Angle Relationships.
Answer:
Step-by-step explanation:
11). 6x + 7 = 8x - 17 [Since vertical angles are equal in measure]
8x - 6x = 17 + 7
2x = 24
x = 12
12). (11x - 15) + (5x - 13) = 180°
16x - 28 = 180°
16x = 180 + 28
16x = 208
x = 13
13). Since DB⊥AC,
m∠CBD = 90°
m∠CBE + m∠DBE = 90°
(5x - 42) + (2x - 1) = 90°
7x - 43 = 90
7x = 133
x = 19
14). Since QS bisects angle PQR,
m∠PQS = m∠RQS
10x + 1 = [tex]\frac{82}{2}[/tex]
10x + 1 = 41
10x = 40
x = 4
15). 10x - 61 = 18y + 5 [Vertical angles]
10x - 18y = 61 + 5
10x - 18y = 66
5x - 9y = 33 ------(1)
(18y + 5) + (x + 10) = 180 [linear pair of angles are supplementary]
18y + x + 15 = 180
x + 18y = 165 ------(2)
By adding equation (1)×2 and equation (2)
(10x - 18y) + (x + 18y) = 66 + 165
11x = 231
x = 21
16). (5x - 17) + (3x - 11) = 180 [[linear pair of angles are supplementary]
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
(3x - 11)° = 78 - 11
= 67°
67° + 90° + (2y + 5)°= 180° [Sum of angles on a line]
162 + 2y = 180
2y = 180 - 162
2y = 18
y = 9
17). NP bisects ∠MNQ.
Therefore, m∠MNQ = 2(m∠PNQ)
8x + 12 = 2×78
8x + 12 = 156
8x = 156 - 12
8x = 144
x = 18
m∠MNQ = (8x + 12)° = 156°
m∠RNM = m∠ONQ [Vertical angles]
(3y - 9)° = 180° - m∠MNQ
3y - 9 = 180 - 156
3y - 9 = 24
3y = 33
y = 11
Using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:
11. x = 12
12. x = 13
13. x = 19
14. x = 4
15. x = 21; y = 8
16. x = 26; y = 9
17. x = 18; y = 11
Applying the knowledge of angle relationships, we can solve each given problem by first, creating a an equation from the relationship between angles, then solve for the variables.
11. [tex]6x + 7 $ and $ 8x - 17[/tex] are vertical angles.
Since vertical angles are congruent, therefore:[tex]6x + 7 = 8x - 17[/tex]
Solve for x[tex]6x - 8x = -7 - 17\\\\-2x = -24\\\\x = 12[/tex]
12. [tex]11x - 15 $ and $ 5x - 13[/tex] are linear pair angles.
Since, the sum of linear pair angles equals 180 degrees, therefore:[tex](11x - 15) + (5x - 13) = 180[/tex]
Solve for x[tex]11x - 15 + 5x - 13 = 180\\\\16x - 28 = 180\\\\16x - 28 + 28 = 180 + 28\\\\16x = 208\\\\x = 13[/tex]
13. <DBE and <CBE are complementary angles.
Since the some of complementary angles equals 90 degrees, therefore,[tex]m \angle DBE + m \angle CBE = 90[/tex]
Substitute[tex](2x - 1) + (5x - 42) = 90[/tex]
Solve for x[tex]2x - 1 + 5x - 42 = 90\\\\7x - 43 = 90\\\\7x = 90 + 43\\\\7x = 133\\\\x = 19[/tex]
14. Since QS bisects <PQR, therefore,
m<PQS = 1/2(PQR)
Substitute[tex]10x + 1 = \frac{1}{2} (82)[/tex]
Solve for x[tex]10x + 1 = 41\\\\10x = 41 - 1\\\\10x = 40\\\\x = 4[/tex]
15. [tex](x + 10) $ and $ (10x - 16)[/tex] are linear pair angles.
Since the sum of linear pair angles equals 180 degrees, therefore,[tex](x + 10) + (10x - 16) = 180\\[/tex]
Solve for x[tex]x + 10 + 10x - 61 = 180\\\\11x - 51 = 180\\\\11x = 180 + 51\\\\11x = 231\\\\x = 21[/tex]
Find y:Since [tex](10x - 61) $ and $ (10y + 5)[/tex] are vertical angles, they are congruent. Therefore,
[tex](10x - 61) = (10y + 5)[/tex]
Plug in the value of x and solve for y[tex]10(21) - 61 = 18y + 5\\\\149 = 18y + 5\\\\149 - 5 = 10y\\\\144 = 18y\\\\8 = y\\\\\mathbf{y = 8}[/tex]
16. Since [tex](5x - 17) $ and $ (3x - 11)[/tex] are linear pair, their sum equals 180 degrees. Therefore,
[tex](5x - 17) + (3x - 11) = 180[/tex]
Solve for x[tex]5x - 17 + 3x - 11 = 180\\\\8x - 28 = 180\\\\8x = 180 + 28\\\\8x = 208\\\\x = 26[/tex]
Find y:[tex](2y + 5) + 90 + (3x - 11) = 180[/tex] (angles on a straight line = 180 degrees)
Plug in the value of x and solve for y[tex]2y + 5 + 90 + 3(26) - 11 = 180\\\\2y + 5 + 90 + 78 - 11 = 180\\\\2y + 162 = 180\\\\2y = 180 - 162\\\\2y =18\\\\y = 9[/tex]
17. Since NP bisects <MNQ, therefore,
[tex]m \angle PNQ = \frac{1}{2}(m \angle MNQ)[/tex]
Substitute[tex]78 = \frac{1}{2}(8x + 12)[/tex]
Solve for x[tex]78 \times 2 = 8x + 12\\\\156 = 8x + 12\\\\156 - 12 = 8x \\\\144 = 8x\\\\18 = x\\\\x = 18[/tex]
[tex]m \angle RNM + m \angle MNQ = 180^{\circ}[/tex] (linear pair)
Substitute[tex](3y - 9) + (8x + 12) = 180[/tex]
Plug in the value of x and solve for y[tex]3y - 9 + 8(18) + 12 = 180\\\\3y - 9 + 144 + 12 = 180\\\\3y + 147 = 180\\\\3y = 180 - 147\\\\3y = 33\\\\y = 11[/tex]
Therefore, using the knowledge of the angle relationships to create an equation, the value of x and y in the image given are:
11. x = 12
12. x = 13
13. x = 19
14. x = 4
15. x = 21; y = 8
16. x = 26; y = 9
17. x = 18; y = 11
Learn more here:
https://brainly.com/question/18963166
What kind of transformation is illustrated in this figure?
O translation
.
O reflection
dilation
Orotation
Answer:
translation
Step-by-step explanation:
shape, size, measurement all stayed the same. they just moved locations :)
What property is (6+2)+4=4+(6+2)
Answer: commutative property of addition
Step-by-step explanation:
(a+b)+c=a+(b+c) -- Commutative property of addition
Commutative property of addition is when the numbers are added, the sum are the same, regardless of the order of numbers.
Thus, (6+2)+4=4+(6+2) is commutative property of addition.Hope this helps!! :)
Please let me know if you need further explanation with properties of addition.
NEED EXPLANATION AND PROCESS!!!
Answer:
x = 133
y = 43
Step-by-step explanation:
x + 47 = 180
so x is 133
47 + y = 90
so y is 43
A. Without computing each sum, find which is greater, O or E, AND by how much.
O = 1 + 3 + 5 + 7 + ... + 101
E = 2 + 4 + 6 + 8 + ... + 102
and need to explain it
Answer:
Www
Step-by-step explanation:
6+(-3)=
answer question plz
Answer:
-3
Step-by-step explanation: Because it is just like saying 6-3
Answer:
3
Step-by-step explanation:
6+(-3)
A addition symbol and subtraction symbol both make a negative symbol.
6-3
6-3= 3
Hope this helps!
what is the value of 10^-3
Question 14(Multiple Choice Worth 4 points)
(01.04 LC)
Solve the inequality 4x - 6 > 6x - 20.
x> 7
x<7
x<2
x>2
Step-by-step explanation:
4(7)-6,6(7)-20
28-6,42-20
22,22
22/22
=1
4(2)-6,6(2)-20
8-6,12-20
2,-8
-8/2
=-4
Answer:
Its B
Step-by-step explanation:
2x-5<5x-3x Please Help Me!!!
Step-by-step explanation:
Check the above photos
a patio has an area of 120 square feet. the length of the patio is 12 feet. what is its width
w = 10 feet
Step-by-step explanation:Area formula
A = l×w
120ft² = 12ft×w
w = 120ft²/12ft
w = 10 feet
-
=\80
2.4
()
14 15
0
L: 2
4
А) . 1
( - ) 90
| —
Answer:
....
Step-by-step explanation:
what is 1 1/3 divided by 3/5
Answer:
6.11
Step-by-step explanation:
First divide 11by 3 and 3by 5.And divide the answer of 11by 3 by 3by5
What value of x is in the solution set of 2(3x - 1) = 4x - 6?
EO
-10
Answer:
D) -1
Step-by-step explanation:
6x-2≥4x-6
6x-4x≥-6+2
2x≥-4
x≥-4÷2
x≥-2
Only -1 is greater than -2 in the list.
Answer:
x = - 1
Step-by-step explanation:
Given
2(3x - 1) ≥ 4x - 6 ← distribute parenthesis on left side
6x - 2 ≥ 4x - 6 ( subtract 4x from both sides )
2x - 2 ≥ - 6 ( add 2 to both sides )
2x ≥ - 4 ( divide both sides by 2 )
x ≥ - 2
The only value in the list greater than - 2 is - 1
x = - 1 is in the solution set
Really need help with #20! I'll give brainliest!
Answer: 1 year (year 15)
Step-by-step explanation:
109.5-86.0=23.5
128.4-109.5=18.90
140.8-128.4=12.4
158.7-140.8=17.9
182.1-158.7=23.4
23.5+18.9+12.4+17.9+23.4=96.10
96.10÷5=19.22
200-182.1=17.9
182.1+19.22=201.32 subs
Find and interpret the slope of the line containing the given points. (0,20) and (-8,0)
Answer:
The slope is: 20/-8, or -20/8
Step-by-step explanation:
to find the rate of change, you do change in y over change in x
so you minus the y numbers and minus the x numbers
so,
20-0/0-8 = 20/-8
or you can do
0-20/8-0 = -20/8
both of them are the same
sorry I'm really bad at explaining myself
hope this helps! :D
Answer:
Step-by-step explanation:
(0 - 20)/(-8 - 0)= -20/-8= 20/8= 5/4
The point (17, -9) is translated to the point (6, 2) what is the description of the translation
What is the common multiplier in the proportion? 6 over 8 = 9 over 12
Answer:
The common multiplier is 24
Step-by-step explanation:
6/8 9/12
8,16,24
12,24
6/8 × 3/3= 18/24
9/12× 2/2= 18/24
Evaluate the expression for d = 43.4.
Write your answer as a decimal or whole number.
4.4(d − 35) =
Answer:
36.96
Step-by-step explanation:
given
d = 43.4
equation
4.4(d - 35) =
plug d in
4.4(43.4 - 35) =
solve within parentheses
4.4(8.4) =
multiply
36.96
Identify The Type Of Graph Below.
Answer: That's a line graph
Step-by-step explanation:
Answer:
It would be a line graph or a bar/ coulum
Step-by-step explanation:
When ax3 +x2 -2x +b is divided by x+1, the remainder is 10. When it is divided by x-3, the remainder is -46. What is the value of a and b?
Step-by-step explanation:
Given
X+ 2 = 0
X = -2
on putting in polynomial
-8a +2b= 0
- 8a = 2b
b = -4a
Now
when divided by x - 1 give remainder -15
so
x - 1 = -15
x = -14
on putting in polynomial
-2744a + 198 + 14b - 4 = -14
-2744a + 56a = - 208
-2688a = -208
a = 168/13
Now
b = 672/13
Point D best represents which of the following numbers?
tot
14
14.5
15
15.5
16
Answer:
yea your correct and 16.5
Step-by-step explanation:
Answer:
???
Step-by-step explanation:
???
Plant and animal cells have ALL the same organelles. True or faulse?
Answer:
Step-by-step explanation:
False. They may have some that are the same, but not all.
Answer:
the answer is false hope this helped :)
The next two numbers in the series 1 , 4 , 9 , 16 , 25 ,....................are
Answer:
36, 49
explanation:
The pattern in this series is going by perfect squares:
(1)² = 1(2)²= 4(3)² = 9(4)² =16(5)² = 25From this, we can tell the next 2 numbers in the series will be:
(6)²=36(7)²=491.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=16
Step-by-step explanation:
its C
Answer:
x=16
Step-by-step explanation:
First of all we want to distribute 0.5 on 5x and -8
so we are going to divide by 2
1.5x + 12 = 2.5x -4
now we want to put the variables on one side and the numbers on the other side of the equal sign
and to
1.5x +12 = 2.5x -4
-12 -12
1.5x = 2.5x - 16
now we want to move the variable that is on the right to the left side
1.5x = 2.5x - 16
-2.5x -2.5x
-x = -16
change the signs and the answer is
x=16
EXTRA STEP
you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal
Evaluate the expression when a=3.
a^2+12
[tex]3^{2} + 12 = 9 + 12 = 21[/tex]
The answer is 21.
Answer:
The correct answer is 21.
Step-by-step explanation:
To solve this problem, we simply substitute 3 for a in the expression.
Given the expression,
a^2 + 12
we should replace "a" with 3, as denoted by the problem, giving us:
(3)^2 + 12
Now, we simplify using the order of operations. PEMDAS tells us that we should simplify what is in the parentheses first because it has an exponent.
9 + 12
Now, we can just add the two remaining terms together, giving us:
21
Therefore, the answer is 21.
Hope this helps!
Help needed ASAP will give BRAINLIEST
Answer:
177.2 i think
Step-by-step explanation:
What is the base of the triangle? A=36mm(2) H= 6mm B=?
Answer:
Area formula=b*h÷2
b=a÷h*2
b=12
Step-by-step explanation:
So if you multiply the base and height to find a triangle, you'd get the area of a rectangle instead so if you divide by 2, you'd get the area of a triangle
To find the base, you'd reverse the process. You'd divide the area by the height and multiply by 2.
36÷6=6
6*2=12
Hope that helps!
What is the 50th term of Arithmetic sequence 9,2,-5
Answer:
- 334
Step-by-step explanation:
There is a common difference between consecutive terms in the given sequence, that is
d = 2 - 9 = - 5 - 2 = - 7
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = - 7 , thus
[tex]a_{50}[/tex] = 9 + (49 × - 7) = 9 - 343 = - 334