Answer:
(x + 4) - 3
Step-by-step explanation:
Let the number be x
(x +4) - 3
rfan exited his apartment building and walked 20 blocks west. He then walked an additional 5 blocks west. What must he do to return to his apartment building?
Answer: If he walked 20 blocks west straight from his exited appartment, then added an additional 5 blocks to the west, he would have walked a total of 25 blocks and to return to his appartment must walk 25 blocks straight back from where he cam from to return back to his appartment.
Step-by-step explanation:
For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?
Answer:
g(x) = 5x + 1
Step-by-step explanation:
Given data
We have the following expressions to work with
f(x) = 2x − 6 and
g(x) = 5x + 1
say the value of x = 3
let us put x into the two expressions above and compare the output
f(x) = 2*3 − 6= 6-6= 0
g(x) = 5*3 + 1= 15+1= 16
Hence the second function has the greatest output
Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .
Answer:
q = 80 degrees
r = 70 degrees
s = 10 degrees
t = 70 degrees
u = 40 degrees
v = 60 degrees
Step-by-step explanation:
starting with the fact that all angles in any triangle always sum up to 180 degrees :
q = 180 - 60 - 40 = 80 degrees
r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees
the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.
that means the angles must be equal.
v = 60 degrees
u = 40 degrees
similar for 10-r-blank and t-s-blank.
s = 10 degrees
t = 70 degrees
u=60°
v=40°
q=80°
r=70°
s=70°
t=10°
Answer:
Solution given:
t=10°[inscribed angle on a same chord or arc is equal]
V=40°[inscribed angle on a same chord or arc is equal]
u=60°[inscribed angle on a same chord or arc is equal]
AGAIN;
40+60+10+r=180°[sum of interior angle of triangle]
r+110°=180°
r=180°-110°
r=70°
again
r=s=70°[inscribed angle on a same chord or arc is equal]
again
q=r+10°[exterior angle is equal to the sum of two opposite interior angle]
q=70+10=80°
A construction crew can dig a pit at a rate of
19/14 meters per hour.
How deep can they dig in 6 hours?
A. 57/7 meters
B. 42/7meters
C. 36/7 meters
D. 19/7meters
HELPPP
The distance he can dig is 57/7 m deep
Speed and distanceThe formula for calculating the speed or rate of digging is given as;
Speed = distance/Time
Given the following
Speed = 19/14 meters per hour.
Time = 6hours
Substitute
Distance = 19/14 * 6
Distance = 114/14
Distance = 57/7 meters
Hence the distance he can dig is 57/7 m deep
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Given the algebraic representation of a linear transformation (x,y) (3x-4, 1/5y-2),what trasformations are occuring
Answer:
We can define the algebraic transformations used here as:
Horizontal translation.
For a general point (x, y), a horizontal translation of N units is written as:
(x + N, y)
if N < 0, the translation is to the left
if N > 0, the translation is to the right.
Vertical translation:
For a general point (x, y), a vertical translation of N units is written as:
(x , y + N)
If N < 0, the translation is downwards
if N > 0, the translation is upwards.
Vertical dilation:
For a point (x, y), a vertical dilation of scale factor k is given by:
(y, k*y)
Horizontal dilation:
A dilation of scale factor k is written as:
(x/k, y)
Here we go from:
(x, y) to (3x - 4, (1/5)*y - 2)
So we have:
An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.
And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.
Students taking an online english test are randomly assigned 3 questions out of a set of 9 different questions. How many different sets of questions (i.e. tests) are possible for the students?
Answer:
2 sets I think
Step-by-step explanation:
what are the answer choices
hello can someone please help me this question? I don't quite understand it
Answer:
Equation: y=45x+1000
A. $45
B. 1,000
C. y=45x+1000-->Independent=1,000-->Dependent=45
D. y=45(20)+1,000=1,900
E. 30 weeks
Step-by-step explanation:
To solve step "E", you must set up an equation.
Specifically--> 45x+1,000=2350, then solve
45x=1350
x=30
Please I need help with this its being timed!!
Answer:
The first one
Step-by-step explanation:
Which of the following verifies that ST¯¯¯¯¯∥QR¯¯¯¯¯?
Answer:
Step-by-step explanation:
From the picture attached,
If ΔPRQ ~ ΔPTS,
By the property of similar triangles,
Corresponding sides of the similar triangles are proportional.
[tex]\frac{PR}{PT}= \frac{PQ}{PS}[/tex]
[tex]\frac{7.5+4.5}{4.5}= \frac{20}{7.5}[/tex]
[tex]\frac{12}{4.5}=\frac{20}{7.5}[/tex]
[tex]\frac{120}{45}= \frac{200}{75}[/tex]
[tex]\frac{8}{3}=\frac{8}{3}[/tex]
By the converse of similar triangles,
If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.
Reflect triangle ABC across the line x = 2. Then the reflect (image) A' B' C' across the line x = -3.
Answer:
1. ΔA'B'C' = A' = (1, 1), B'(-1, 1), and C'(1, 4)
2. ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)
Step-by-step explanation:
1. The coordinates of the triangle ΔABC are; A(3, 1), B(5, 1), and C(3, 4)
The reflection of a line across the line x = 2, is given as follows
The distance between the x-coordinate of the preimage and the line of reflection which is parallel to the x-axis = The distance of the x-coordinate of the preimage from the line of reflection but opposite in sign
The distance from A(3, 1) from x = 2 is 3 - 2 = 1, therefore, the x-coordinate of the image, A' = 2 - 1 = 1, therefore, we have;
The coordinate of A' = (1, 1)
Similarly, we have; B(5, 1) (reflection across x = 2) → B'(-1, 1)
C(3, 4) (reflection across x = 2) → C'(1, 4)
Therefore when we reflect ABC across the line x = 2, we get ΔA'B'C', with A' = (1, 1), B'(-1, 1), and C'(1, 4)
2. Reflection of A'B'C' across the line x = -3, gives;
A'(1, 1) (reflection across x = -3) → A''(-7 1)
B'(-1, 1) (reflection across x = -3) → B''(-15 1)
C'(1, 4) (reflection across x = -3) → C''(-7, 4)
The coordinates of the reflection of ΔA'B'C' across the line x = -3 is ΔA''B''C'' = A''(-7 1), B''(-15 1), and C''(-7, 4)
If mZGEF is thirteen less than five times
mZDEG and mZDEF = 149°, find mZGEF.
F
D
G
Answer:
Step-by-step explanation:
Given :
From the diagram,
m∠GEF is 13 less than 5 times m∠DEG and ∠DEF = 149°,.
To Find :
the value of m∠GEF..
Solution :
As per given data,
m∠GEF = 5m∠DEG - 13° ...(i)
∠DEF = 149° ⇒ m∠GEF + m∠DEG = 149° ..(ii)
Substituting value of m∠GEF in (ii),
We get,
(5m∠DEG - 13°) + m∠DEG = 149°
6m∠DEG - 13° = 149°
6m∠DEG = 149° + 13° = 162°
m∠DEG = ° = 27°
Substituting value of m∠DEG in (i),
We get,
m∠GEF = 5(27°) - 13°
m∠GEF = 135° - 13°= 122°
Help me plss I’m lost ☺️❤️
Answer:
there is only one way to to roll a 3
1/36 = .044 = 4.4%
Step-by-step explanation:
Nine subtracted from the product of 8 and a number is at least 20. (X will be used for the unknown number)
Answer:
Can't it be 3 and up I'm not sure Correct me if so
Step-by-step explanation:
Find the length of the line segment whose endpoints are (- 5, 6) and (6, 6).
Answer:
11
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[6 - (-5)]² + (6 - 6)²
√(11)² + (0)²
√121
= 11
Match the expression to its value.
Answer:
1 a
2 b
3 c
4 d
Step-by-step explanation:
1b
2d
3c
4a
Answer:
10(4) > 10,000
10-(4) > 0.0001
10(4)/10(2) > 0.000001
10-(4) * 10(2) > 1/10(4) 0.01
Step-by-step explanation:
Solve for x.
x – 42 = 98 – 9x
X = [?]
Answer:
x = 14
Step-by-step explanation:
x - 42 = 98 - 9x
+42 +42
x = 140 - 9x
+9x +9x
10x = 140
/10 /10
x = 14
PLS HELP!!!!
Determine the value of x.
A) 160°
B) 78°
C) 240°
D) 80°
Answer:
D) 80°
Step-by-step explanation:
(n - 2)180 = 4(180) = 720
78 + 134 + 136 + 132 + 2x + x = 720
3x + 480 = 720
3x = 240
x = 80
Answer:
The answer is D:80 degrees.
Step-by-step explanation:
HELP ME URGENT PLEASEEEEE
Find the missing integer. (4/7) / (?/-6) = (-24/35)
Answer:
5
Step-by-step explanation:
(4/7)/(?/-6)=(-24/35)
(4/7)×(-6/?)=(-24/35)
(4×-6)/(?×7)=(-24/35)
-24/(?×7)=(-24/35)
-->7×?=35
-->?=35÷7
-->?=5
25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91
Answer:
$43,799.50
Step-by-step explanation:
USing the formula:
A = P(1+r)ⁿ
n is the time = 5
1 + r = 1.04
P = 36,000
Substitute the values into the formula
A = 36000(1.04)⁵
A = 36,000(1.2166529024)
A = 43,799.50
Hence the value in the fifth year will e $43,799.50
Can someone help me with this task please? !!
Step-by-step explanation:
For the 1st question, the answer is the 4th option.
For the 2nd question, the answer is 13 hours per gallon.
For the 3rd question,the answer is the 1st option.
For the 4th question, the answer is the 1st option.
For the 5th question, the answer is the 5th option.
I NEED HELP, WHAT IS THE ANSWER !!!!!!!!!!
Step-by-step explanation:
Hey there!
From the given figure;
Measure of angle V + measure of angle W = measure of angle VUF {exterior angle is equal to the sum of opposite interior angles}
Therefore, angle VUF= 94°.
Hope it helps!
Answer:
<V + <W = < VUF
94 = < VUF
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<V + <W = < VUF
71+ 23 = < VUF
94 = < VUF
Find out the values of x and y from the following ordered pairs
(2x – 2, y – 1) = (x + 3, 4)
Answer:
x=1
y=-1
Step-by-step explanation:
hope it will help you
if 2[tex]\frac{1}{3}[/tex] : 4 [tex]\frac{1}{3}[/tex] , then 7 : ___
A: 12 B: 13 C: 8[tex]\frac{2}{3}[/tex] D: 6[tex]\frac{1}{3}[/tex]
temsuyanger, I don't want your BS answer
[tex] \\ \tt \longmapsto 2 \frac{1}{3} \div 4\frac{1}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \times \frac{3}{13} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{13} = \frac{7}{x} \\ \\ \tt \longmapsto 7x = 7 \times 13 \\ \\ \tt \longmapsto 7x = 91 \\ \\ \tt \longmapsto x = \frac{91}{7} \\ \\ \tt \longmapsto x = 13[/tex]
Answer:
[tex]x = 13[/tex]
Step-by-step explanation:
[tex] \frac{2 \frac{1}{3} }{4 \frac{1}{3} } = \frac{7}{x} \\ \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \frac{7}{ 3} \times \frac{3}{13} = \frac{7}{x} \\ \frac{7}{13} = \frac{7}{x} \\ 7x = 13 \times 7 \\ x = \frac{13 \times 7}{7} \\ x = 13[/tex]
please help me with this problem !
Answer:
so easye 7 put 6 1 put 0 in the other
put 2 frist and other put 13 that it put the anser
help me plz i will give you brainlist plzzzzz i beg you
Answer:
Solution given:
[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]
let 3^xbe a
4*a*3-a²=27
a²-12a+27=0
a²-9a-3a+27=0
a(a-9)-3(a-9)=0
(a-9)(a-3)=0
either
a=9
3^x=3²
:.x=2
or
a=3
3^x=3^1
x=1
x=2,1
how much fat is in a mixture created with x pints of 8% butterfat and y pints of 15% butterfat
Answer:
Total mixture = (8x + 15y) / 100
Step-by-step explanation:
Butterfat x:
= 8% of x
= 8/100 * x
= (8 * x) / 100
= 8x / 100
Butterfat y:
= 15% of y
= 15/100 * y
= (15 * y) / 100
= 15y / 100
Total mixture = butterfat x + butterfat y
= 8x / 100 + 15y / 100
= (8x + 15y) / 100
Total mixture = (8x + 15y) / 100
Ugh I’m kinda stuck someone can help me ?
Answer:
To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).
Hope this helps!
Answer: Plot the two points (3,-6) and (1, -5). Draw a straight line through those points.
See the graph below.
=============================================
Explanation:
Plot the point (3, -6)
The slope -1/2 means the rise is -1 and the run is 2
rise = -1run = 2If we moved to the right, then we'd drop down 1 and move to the right 2. That would move us from (3,-6) to (5,-7)
We can go in reverse of this. So instead of "move down 1", we move up 1. We're going left instead of right.
-----------
So we start at (3,-6) and move up 1 and to the left 2 to arrive at (1,-5)
Two points on this line are (1, -5) and (3, -6)
Once we have two points, we have enough to graph the line.
See the graph below.
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____
Answer:
YES by SAS
triangle TUV is similar to triangle TLM
Step-by-step explanation:
The ratios of the sides
24/6 = 4
36/9 = 4
so the sides are similar
We know angle UTV = angle LTM because they are vertical angles
we have side included angle side
The triangles are similar by SAS ( side angle side)
triangle TUV is similar to triangle TLM
Find the measure of b.
A. 110
B. 55
C. 75
D. 125
Answer:
B
Step-by-step explanation:
The central angle is twice the angle on the circumference, subtended on the same arc, then
a = 0.5 × 110° = 55° → B
the required measure of angle b inscribed in the circle is 125.
A figure is shown, in which a measure of b is to be determined.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²,
where h, k is the coordinate of the circle's center on a coordinate plane, and r is the circle's radius.
Since, As shown in the figure
the angle subtended by an arc on center is twice the angle subtended by the same are to the point of circumference corresponding point on the circle.
Angle b ,
2b = 360 - 110
2b = 250
b = 250/2
b = 125
Thus, the required measure of angle b inscribed in the circle is 125.
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I need help with this
Answer:
x = - 4
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = 2x² + 16x - 19 ← is in standard form
with a = 2, b = 16
Then the equation of the axis of symmetry is
x = - [tex]\frac{16}{4}[/tex] = - 4