Answer:
3 road bikes and 2 tandems
7 people
Step-by-step explanation:
25b + 40t = 155
b=3 and t = 2
Check
25*3 + 40*2 = 155
75+80 = 155
Assuming 1 person per road bike and 2 people per tandem
3*1 + 2*2 = 3+4 = 7
WILL GIVE BRAINLISEST!
The polygons are similar. Find the missing side length. Note, the shapes are not oriented the same way.
If polygons are similar ratio if sides will be same
[tex]\\ \sf\longmapsto \frac{x}{50} = \frac{48}{40} \\ \\ \sf\longmapsto 40x = 48 \times 50 \\ \\ \sf\longmapsto x = \frac{48 \times 50}{40} \\ \\ \sf\longmapsto x = \frac{2400}{40} \\ \\ \sf\longmapsto x = 60[/tex]
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
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.
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
If (3x+2) is a factor of 6x³+px²+x-2, Find the remaining factors of the polynomial p(x).
let:
3x+2=0
then solve it
then put the velue of x in p(x)
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
what is the area of the triangle formed from (-2,2), (1,2) and (0,-6)
Answer:
I think it's 12
Step-by-step explanation:
Hope it helps!
Find the value of x that makes m||n
.
135°
m
(2x + 15)
n
Answer:
x = 60
Step-by-step explanation:
Since m is parallel to n, that means they are equal to each other.
In other words:
135 = 2x + 15
Solve for the variable:
120 = 2x
60 = x
Check your work:
135 = 2(60) + 15
135 = 120 + 15
135 = 135
Correct!
Answer:
x = 60
Step-by-step explanation:
For these two lines to be parallel, the angles m and n must be equal. Thus, 135 = 2x + 15.
Excellent. Let’s solve this equation. Subtract 15 from each side. 120 = 2x. Divide by 2, and we get 60 = x, so x = 60.
Hope this helps!
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°
Please I need help with this its being timed!!
Answer:
The first one
Step-by-step explanation:
Help please someonee !!!
A bank pays interest of 9% on money in deposit accounts. Mrs. Wells puts $2000 in the bank. Calculate how much she has after:
a). 1year
b). 3 years
c). 5 years
Answer:
first year
$2180
Step-by-step explanation:
9% of $2000 =$180
$2000+$180Step-by-step explanation:
1year $2180. so the ans is send me I'd and password of zoom Answer of ur Question bro
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:
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
Find the general term of the ap whose 7th term is -1 and 16th term is 17? (pls Hurry up I will mark you Brainliest and don't reply in a silly way or I'll report you)
Answer:
The answer is -13.
Step-by-step explanation:
The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.
So the 7th term will be a+6d= -1 ---(1)
The 16th term will a+15d=17 ---(2)
Subtract (2) and (1)
a+15d-(a+6d)=17-(-1)
=a+15d-a-6d=17+1
9d=18
d=18/9
d=2.
Substitute d in eq (1)
a+6(2)= -1
a+12=-1
a= -1-12= -13
Thus the general term of the ap is -13
question on the image
Answer:
15
Step-by-step explanation:
Answer:
Step-by-step explanation:
For question a: odd + even will always equal odd. so we can use 15 + 40.
For question b: 15 itself is a multiple of b.
For question c: 15 is a factor of 60. There are other answers in there.
For question d: 4^3 = 64, so 64 is one of them.
WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!
Answer:
Q3. Last option Q4. 3rd option
Step-by-step explanation:
s^2 = 9.8^2+5.1^2-2(9.8)(5.1)cos39
s^2=44.366489...
s=6.7
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
g(x) = 6(x-1) find the inverse function
Answer:
let g(x)=y
y=6(x-1)
interchange the values of x and y
x=6(y-1)
Make y the subject
x=6y-6
x+6=6y
(x+6)/6=y
this is a geometry question, i need something quickly :)
Answer:
hope it helps mark me brainlieast!
Step-by-step explanation:
For triangle ABC with sides a,b,c labeled in the usual way,
c2=a2+b2−2abcosC
We can easily solve for angle C .
2abcosC=a2+b2−c2
cosC=a2+b2−c22ab
C=arccosa2+b2−c22ab
That’s the formula for getting the angle of a triangle from its sides.
The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.
−1≤cosC≤1
0∘≤C≤180∘
We needed to include the degenerate triangle angles, 0∘ and 180∘, among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.
The Law of Cosines, together with sin2θ+cos2θ=1 , is all we need to derive most of trigonometry. C=90∘ gives the Pythagorean Theorem; C=0 and C=180∘ give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from cosC= … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)
The Triangle Angle Sum Theorem, A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool
2sinAsinBcosC=sin2A+sin2B−sin2C
Showing that’s the same as A+B+C=180∘ is a challenge I’ll leave for you.
In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,
4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2
true precisely when ±A±B±C=180∘k , integer k, for some k and combination of signs.
This is written in RT in an inverted notation, for triangle abc with vertices little a,b,c which we conflate with spreads a,b,c,
(a+b−c)2=4ab(1−c)
Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to 180∘ or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.
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:
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.
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
please tell me I don't know plz please plz please
Step-by-step explanation:
a. 78 b.128 c. 165 d. 156 e. 180 f.208
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
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.
Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?
Answer:
ratio 2 : 3 : 5
size of smallest angle
[tex]180 \times \frac{2}{10} \\ = 36[/tex]
Answer:
The smallest angle of a triangle is 36°.
Step-by-step explanation:
Given, the ratio of angles of a triangle is 2 : 3 : 5
Let the angles of a triangle be ∠A, ∠B and ∠C.
∠A = 2x, ∠B = 3x, ∠C = 5x
∠A+∠B + ∠C= 180°
[sum of all the angles of a triangle is 180°]
2x + 3x + 5x = 180°
10x = 180°
x=180°/10 =18°
∠A=2x=2 x 18° = 36°
∠B = 3x = 3 x 18° = 54°
∠C = 5x = 5 x 18° = 90°
Hence, the smallest angle of a triangle is 36°.
HOPE IT HELPS!!!
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:
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
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]