Answers
Answer:
see explanation
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ ACD is an exterior angle of the triangle, thus
43 + 5x - 48 = 3x + 57 , that is
5x - 5 = 3x + 57 ( subtract 3x from both sides )
2x - 5 = 57 ( add 5 to both sides )
2x = 62 ( divide both sides by 2 )
x = 31
Thus
∠ ABC = 5x - 48 = 5(31) - 48 = 155 - 48 = 107°
∠ ACD = 3x + 57 = 3(31) + 57 = 93 + 57 = 150°
Related Questions
Which of the following is a rational number?
A) v15
B) v16
C) v17
D) v18
(the v is supposed to be the square root sign)
Answers
Answer:
B. √16=4
Step-by-step explanation:
Gerald ran 240 yards. Which answer choices are equivalent to the distance he ran?
Select all that apply.
20 inches
2.880 inches
O 8, 640 inches
0 80 feet
720 feet
7 miles
Answers
Answer:
720 feet
Step-by-step explanation:
A yard is equivalent to 3 feet, so 1 yard = 3 feet.
240 yards * 3 = 720 feet
francis made a rectangular path from her driveway to the porch . the width of the path is 2 ft and the length is 28 ft longer than the width . what is the perimeter of the path
Answers
The perimeter of the rectangular path is 64 ft
What is a Rectangle?Rectangle is a type of quadrilateral that has its parallel sides equal to each other, opposite sides are equal to each other, and all the angle are equal to 90 degrees.
How to determine this
The perimeter of a Rectangle = 2 ( Length + Width)
Where the Width = 2 ft
Length = 28 ft longer than Width
i.e W + 28
Length = 2 + 28 = 30 ft
To calculate the perimeter if the path
Perimeter = 2( 30 + 2)
Perimeter = 2(32)
Perimeter = 64 ft
Therefore, the perimeter of the rectangular path is 64 ft
Read more about Rectangle
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A motorboat heads upstream a distance of 24 miles on the Guadalupe River, whose current is flowing at 3 miles/hour. Which expression can represent the total time it takes to complete a round-trip up and back, where b is the speed of the boat in miles/hour?
Answers
Answer:
24/b-3 + 24/b+3
Step-by-step explanation:
For PLATO users!!!!
This expression represents the total time, Time = [tex]\frac{24}{b-3} + \frac{24}{b+3}[/tex]
What is distance?Distance is defined as the product of the speed and time.
Given,
b = the speed of the boat in miles/hour
let, effective speed upstream = (b+3)
effective speed downstream = (b-3)
∵Time = distance/ speed
Given that, upstream a distance of 24 miles
Time = [tex]\frac{24}{b-3} + \frac{24}{b+3}[/tex]
This expression represents the total time it takes to complete a round-trip up and back.
Learn more about distance
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5 x 2/3 in simplest form
Answers
Answer:
10/3
Step-by-step explanation:
Answer:
10/3
Step-by-step explanation:
5/1 x 2/3= 10/3
5 x 2 = 10
1 x 3 = 3
You cannot simplify 10/3.
Solve the proportion.
X over 12 (fraction) = three over four (fraction). x = ??
Answers
4x = 36
X = 36/4
X = 9
Angle A is 12x - 37 and angle B is 7x + 15. If these angles are vertical, what is the value of x?
x=?
CAN ANYONE HELP ME PLEASEEEE????????????????????????//
Answers
Answer:
x = -439
Step-by-step explanation:
Oh, ok this one will take a while for me to type ;) breath in and breath out!
Ok so watch my steps:
1. 12[tex]x[/tex] - 37
multiply #1 by 7
1. 84x - 259
now multiply #2 by 12 and line 'em up
2. 84[tex]x[/tex] + 180
1. 84x - 259 ( -
-----------------------
x + 439 = 0
x = 0 -439
x = -439
If the pattern indicated below continued, what would be the total number of cubes in the 8th stage of the pattern?
1, 1+4=5, 1+4+9=14
Answers
Answer:
The number of cubes in the 8th stage of the pattern is 204
Step-by-step explanation:
Here, we want to calculate simply the 8th term of the pattern
T1 = 1
T2 = 1 + 4 = 1 + 2^2 = 5
T3 = T2 + 3^3 = 5 + 9 = 14
T4 = T3 + 4^2 = 14 + 16 = 30
T5 = T4 + 5^2 = 30 + 25 = 55
T6 = T5 + 6^2 = 55 + 36 = 91
T7 = T6 + 7^2 = 91 + 49 = 140
T8 = T7 + 8^2 = 140 + 64 = 204
evaluate f(z) for z=7
Answers
Pls help Question is below.
Answers
i got 2.7 by dividing 12.15 by 4.5 but im not 100% sure if thats it
Last Friday Kevin had $2. Over the weekend he found some money in his old jeans. He now has $10. How much money did he find?
Answers
The table below shows the illuminated percentage of the moon on a lunar cycle of 28 days. The relationship can be described using a cosine function.
A 2-column table with 5 rows. Column 1 is labeled d with entries 0, 7, 14, 21, 28. Column 2 is labeled percent with entries 0, 48, 96, 48, 0.
Use the drop-down menus to complete each statement.
The amplitude of the function is
.
The period of the function is
.
The graph has a vertical shift of
units.
Answers
Answer:
StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet
Step-by-step explanation:
The function is when there are sets of input and output values given and each input value hem has one corresponding output. Input values are unique but output values can be same for more than one input value.
A.........................................
A 2-column table with 5 rows. The first column is labeled x with entries negative 5, negative 3, negative 3, 0, 5. The second column is labeled y with entries 10, 5, 4, 0, negative 10.
Not a function as input values repeated: negative 3
B.........................................
StartSet (negative 8, negative 2), (negative 4, 1), (0, negative 2), (2, 3), (4, negative 4) EndSet
Yes, it is a function
C.........................................
A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 0, 1. The second column is labeled y with entries negative 3, negative 2, negative 1, 0, negative 1.
Not a function as input values repeated: 0
D.........................................
StartSet (negative 12, 4), (negative 6, 10), (negative 4, 15), (negative 8, 18), (negative 12, 24) EndSet
Not a function as input values repeated: negative 12
So correct one is option B
I need help with this
Answers
Answer:
Im gonna have to say A.
Step-by-step explanation:
Because if you look at the pair triangles in A. The sides are not equal according to the hash marks.
Insert the parenthesis to make the equality right:630÷7÷2⋅9⋅25=125
Answers
Answer:
(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125
Step-by-step explanation:
630 ÷ 7 ÷ 2 ⋅ 9 ⋅ 25 = 125
(630 ÷ 7) ÷ (2 ⋅ 9) ⋅ 25 = 125
90 ÷ 18 ⋅ 25 = 125
5 ⋅ 25 = 125
125 = 125
7x-7=2x-2 what is the answer
Answers
Answer:
x = 1
Step-by-step explanation:
7x-7=2x-2
5x = 5
x = 1
Find the x-coordinate of Q' after Q(-2.5) was reflected over the line y = -x + 4.
Answers
Answer:
Q' would be (5, 6)
TRIGONOMETRY ANSWER FAST PLS!!!
Answers
Answer:
which class question is this
Denise earns $30 an hour. She works 40 hours per week. Denise would like to purchase a computer that costs $2000. Create and solve an inequality in order to determine the least amount of hours she must work in order to be able to purchase the computer?
Answers
Answer:
67hours hoursStep-by-step explanation:
Given
she works $30 for 1 hour
in 40 hours she will earn 40*30= $1200
this means that a week she earns $1200
let the number of weeks she needs to work be x
40x*(30)<=2000
1200x<=2000
x<=2000/1200
x<=1.66
the number of hours in a week is 40
40*1.66=66.66
67hours
hence she must work for at least 67hours
15(t+2)+9t=6 Please help!
Answers
Answer:
t = -1
Step-by-step explanation:
15(t+2)+9t=6
15t + 30 + 9t = 6
combine like terms
24t +30 = 6
subtract 30 both sides
24t = -24
t = -1
22-5(6v-1) = -63
22- 30v + 5 = -63
27 -30v = -63
subtract both sides by 27
-30v = -90
divide it by -30
v = 3
Answer:
-1
Step-by-step explanation:
15(t+2)+9t=6
15t+30+9t=6
15t+9t=6-30
24t/24=-24/24
t=-1
Jenny is organising a party,
She buys some paper plates and some plastic cups.
Paper plates are sold in packs.
There are 25 plates in a pack,
Each pack costs 78p.
Plastic cups are sold in packs.
There are 35 cups in a pack.
Each pack costs £1.10
Jenny buys exactly the same number of plates and cups.
What is the least amount of money she pays?
5 Marks
Answers
In a group of 150 people, 39 of them wear glasses. What is the probability of randomly selecting a person who does not wear glasses?
A. 111/150
B. 39/111
C. 111/189
D. 189/150
E. 39/150
Answers
Answer:
A. 111/150
Step-by-step explanation:
Because we know that 39 people out of the 150 in the group wear glasses, we need to subtract that from the total. This gives us 111 people that don't wear glasses.
Therefore, the probability of choosing someone not wearing glasses is 111/150.
3/10 divided by -1/3
Answers
Answer:
3/10 divided by 1/3= 0.9
Step-by-step explanation:
what is the slope or the line going through (0,0) (6,8) A: -6/8 B: -3/4 C: 3/4 D: 8/6
Answers
Answer:
D: 8/6
Step-by-step explanation:
Slope = y 2 - y 1
x2 - x1
= 8 - 0
6 - 0
=8
6
Answer: D. 8/6
Step-by-step explanation:
To solve this, we can use the slope formula, which is
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] ← this is [tex]\frac{rise}{run}[/tex]
Plugging in the values of the two points, we get:
[tex]\frac{8 - 0}{6 - 0} = \frac{8}{6} = \frac{4}{3}[/tex]
In your case though, it is D. 8/6
2(x+y)=3(y-1)
If y=5 in the equation above, what is x?
Answers
Answer:
X=1
Step-by-step explanation:
2(X+5)=3(5-1)
2x+10=3*4
2x=12-10
2x=2
X=2÷2
X=1
I need help with this question
Answers
Answer:53km/h
Step-by-step explanation:
you divide 424 by 8 in order to find the unit rate or the amount of kilometers per hour
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates
A
(
1
,
4
)
;
B
(
3
,
−
2
)
;
and
C
(
4
,
2
)
.
A
(
1
,
4
)
;
B
(
3
,
-
2
)
;
and
C
(
4
,
2
)
.
Find the coordinates of the image
A
'
B
'
C
'
A
'
B
'
C
'
after a reflection over the x-axis.
Answers
Answer:
A'(1, -4)B'(3, 2)C'(4. -2)Step-by-step explanation:
GivenTriangle ABC with coordinates
A(1, 4), B(3, -2), C(4, 2)To findCoordinates of the image A'B'C' after a reflection over the x-axisSolutionRule for reflection over x-axis is
R(x) = (x, y) → (x, -y)The coordinates will change as follows
A(1, 4) → A'(1, -4)B(3, -2) → B'(3, 2)C(4, 2) → C'(4. -2)I need help fast ! What is the slope of y=-x+7
Answers
Answer:
-1 this equation is in slope intercept for y=mx+b. the slope is variable m, which in this case is -1. the one is always invisible in front of variable
-7-2x=7(x+8)
What is the answer for this expression
Answers
Answer:
x=-7
Step-by-step explanation:
1. Distribute the 7 into the parenthesis: -7-2x=7x+56
2. Combine like terms by doing the opposite operation to the numbers: -7=9x+56 (added 2x to 7x)
3. Subtract 56 to each side of the equation: -63=9x
4. To isolate the variable "x," divide each side by 9: x=-7
I know it’s simple but can someone explain to me the percents that go over 100?
Answers
Answer:
Look below.
Step-by-step explanation:
Not exactly sure what is being asked here, but I'm going to assume you need to convert them into decimals.
7.) 0.51
8.) 3.95
9.) 0.49
10.) 0.11
11.) 0.39
12.) 7.39
13.) 9.70
14.) 2.56
15.) 2.77
16.) 0.37
17.) 0.04
18.) 7.73
19.) 0.14
20.) 2.19
Any percent that goes over 100, goes into the unit place.
If I didn't answer the question right, then let me know.
Please help me with this problem
Answers
Answer:
line l
line m
Step-by-step explanation:
[tex]line \: l \: and \: line \: m \: are \: the \: \\ transversals \: of \: \angle 15 \: and \: \angle \: 5\:\\ respectively. [/tex]
