Answer:
The solution is (5, 3)
Step-by-step explanation:
To solve this system of linear equations, let's use elimination by addition and subtraction. This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:
4x+y=23
3x-y=12
---------------
7x = 35
Then x must be 5.
Substituting 5 for x in the first equation, we get
4(5) + y = 23. Then 20 + y = 23, or y = 3.
The solution is (5, 3)
20
Select the correct pairs of triangles.
The measures of two angles of pairs of triangles are given. Which pairs of triangles are similar?
Triangle 1: 55°, 45°
Triangle 2: 55°, 80°
Triangle 1: 103°, 32
Triangle 2: 103, 25°
Triangle 1: 73°, 47°
Triangle 2: 47°, 30°
Triangle 1: 105°, 23°
Triangle 2: 52°, 105
Triangle 1: 99, 41°
Triangle 2: 40°, 999
Reset
Next
Answer:
Your answer would be the third one
Step-by-step explanation:
Triangle 1 - 73, 45
Triangle 2 - 47, 30
Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.
Option (4) is correct.
What is a Triangle?A triangle in geometry is a three-sided polygon with three edges and three vertices.
As per the given data:
We are given two angles for each pair of triangles, and we have to find out which of the pair of triangles are similar.
For any two triangles to be similar, it must have 2 angles which are having the same measure.
For, Triangle 1: 55°, 45° and Triangle 2: 55°, 80°
Only one angle is same, hence not similar.
Triangle 1: 103°, 32° and Triangle 2: 103°, 25°
Only one angle is same, hence not similar.
Triangle 1: 73°, 47° and Triangle 2: 47°, 30°
Only one angle is same, hence not similar.
Triangle 1: 105°, 23° and Triangle 2: 52°, 105
By using angle sum property in Triangle 1 the remaining angles is:
= 180 - (105 + 23) = 52°
By using angle sum property in Triangle 2 the remaining angles is:
= 180 - (52 + 105) = 23°
2 angles are same, hence similar.
Triangle 1: 99, 41° and Triangle 2: 40°, 99°
Only one angle is same, hence not similar.
Hence, Triangle 1: 105°, 23° and Triangle 2: 52°, 105 are similar.
To learn more on Triangle, click:
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4a. Solve the inequality 3(2x - 4) + 6 > 18 + 2x , for x*
Answer:
x>6
Step-by-step explanation:
Find the average of 40.6, 10, 0.7, and 120.02
Answer:
42.83
Step-by-step explanation:
add all the numbers and divide by how many their are
Alejandra correctly wrote the equation y-3=1/5 (x-10) to represent a line that her teacher sketched. The teacher then changed the line so it had a slope of 2, but still went through the same point. Which equation should Alejandra write to represent the new line?
Answer:
y-3=2(x-10)
Step-by-step explanation:
y-3=2(x-10)
What is the coefficient of the expression:
3n+4
Answer:
The coefficient is 3, the number right before the variable.
Answer:
3
Step-by-step explanation:
B
20°
?
A
4.
С
( I need an answer )
Answer:
10.9899097
Step-by-step explanation:
Trigonometry.
Tan = opposite/adjacent
Adjacent = Opposite / Tan(20)
Which linear inequality is represented by the graph?
y<3x+2
y>3x+2
y<1/3x+2
y>1/3x+2
Answer:
Y < 3x+2
Step-by-step explanation:
Alright so if you ever get stuck on something like this, Go on demos and put in (0,2) and then add in (-3,-7) and then add in the other answers to see if they match.
So your answer is:
y>3x+2
How many possible outcomes are in spinning a spinner divided into red, yellow, orange, purple, blue, and pink?
SOMEONE ANSWER PLS
Answer:
Possible outcomes = 6
Step-by-step explanation:
Since the spinner is divided into red, yellow, orange, purple, blue and pink
Total of 6 colors.
17/18 dived by 2/4 as a reduced fraction
Answer:
1 8/9
Step-by-step explanation:
Hope you enjoy :)
wats the answer of 1 2/5 ÷14/15
Answer:
2/5 ÷-14/15
2/5×-15/14
-3/7 is ur answer
Answer:
3/2 = 1 1/2 or 1.5
Step-by-step explanation:
1 2/5 ÷ 14/15
= 7/5 ÷ 14/15
= 7/5 × 15/14
= 3/2 = 1 1/2 or 1.5
What is the slope of the line in the graph?
Answer:
The slope of the line is 1
Step-by-step explanation:
what is an expression showing the sum of 5 less than the number k
Answer:
5<k
Step-by-step explanation:
Answer:
k-5
Step-by-step explanation:
So, lets go over each part of the sentence, and turn it into a expression.
So it first says sum. This means addition, so we can start our expression with:
+
Next is says of 5. So we know its the addition of 5:
+5
Next it says less than. So now we know less than, which is subtraction. So we can swap the addition sign for a - sign:
-5
Finally it says the number k. So we know that the subtracted value is k:
k-5
So this is your expression!
Hope this helps!
If valorie made five times more baskets than her brother Vance
But if she made 70 baskets how many baskets did Vance make
Answer:
I say its 14 because it says times more" so u would divide 70 by 5 but im debating between 14 and 65
Step-by-step explanation:
Rita is spending more time at home to study and practice math. Her efforts are finally paying off. On her first assessment she scored 58 points, then she scores 63 and 68 on her next two assessments. If her scores continued to increase at the same rate, on which assessments will she be scoring above 85? Select all that apply.
Answer:
7th
Step-by-step explanation:
63 - 58 = 5
68-63 = 5
She is adding 5 points each time
a1 = 58
d = 5
a2 = 63
a3 = 68
a4 = 58+5 = 73
a5 = 73+5 = 78
a6 = 78+5 = 83
a7 = 83+5 = 88
This is the first assessment greater then 85, so the 7th assessment
What are the vertices of the resulting image A'B'C'D'E' after rotating the figure 90° about the origin?
Answer:
45
Step-by-step explanation: If you turn 90 counter clockwise ( aka divided by half ), the result would be 45.
9
Suppose you roll a cube 30 times, what is a to describe the theoretical of rolling a 1, 4, 6, 7 Please help me!
Answer:
[tex]Pr(x) = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]n = 30[/tex] --- number of rolls
Required
The theoretical probability of rolling: (a) 1 (b) 4 (c) 6 (d) 7
Assume the cube is 6 sided.
The sample space is:
[tex]S = \{1,2,3,4,5,6\}[/tex]
And the probability of each is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Irrespective of the number of rolls, the theoretical probability of (a). (b), (c) and (d) is:
[tex]Pr(x) = \frac{1}{6}[/tex]
Help pls pls pls pls
Answer:
C
Step-by-step explanation:
Answer:
option c is correct
Step-by-step explanation:
y = 2x +5
5 = 2*0 +5
5 = 0 +5
5=5
y = 2x +5
9 = 2*2 + 5
=9 = 4 +5
9=9
y = 2x +5
13 = 2*4 +5
13 = 8 + 5
13 = 13
therefore option c is correct because it satisfies all the elements of x and y of the given function when we substitute the values.
Dan rolls a fair dice and flips a fair coin what is the probability of obtaining an even number and a head
Half the numbers on the die are even so you have a 1/2 probability of getting an even number. There is also. 1/2 probability of getting heads on a coin flip.
To find the probability of both happening, multiply the probability of each together:
1/2 x 1/2 = 1/4
The probability of getting an even number and heads is 1/4
Se tienen 25 billetes de 5 y de 20 lempiras con un monto de 350 lempiras cuantos billetes de 5 lempiras se tienen y de 20 lempiras
Answer:
El número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
Step-by-step explanation:
Vamos a representar
El número de facturas de
5 lempiras = x
20 lempiras = y
Nuestro sistema de ecuaciones se da como:
x + y = 25 ..... Ecuación 1
x = 25 - y
5 × x + 20 × y = 350
5x + 20y = 350 .... Ecuación 2
Sustituiríamos x por 25 - y en la ecuación 2
5 (25 - años) + 20y = 350
125 - 5 años + 20 años = 350
125 + 15 años = 350
15 años = 350 - 125
15 años = 225
y = 225/15
y = 15
Resolviendo para x
x = 25 - y
x = 25 - 15
x = 10
Por lo tanto, el número de facturas
5 lempiras = 10 billetes
20 lempiras = 15 billetes
Help me down below
PLEASE
Answer:
there is one more zero
Step-by-step explanation:
now it's 8 million rather than 800 thousand.
Match each power of a power expression with its simplified expression
= 4⁰×-⁹
= 4⁰
(-4⁹)²= -4⁹ײ
= -4¹⁸
=( -4)¹⁸
(4-³)-³= 4-³ × -³
= 4⁹
(4⁶)-³= 4⁶ × -³
= 4-¹⁸
= 1/4¹⁸
(e+8)°
(3e-4°
Need help asap thx
Answer:
e=44°
Step-by-step explanation:
3e-4+e+8 = 180 degree (being linear pair)
4e+4=180
4e=180-4
4e=176
e=176/4
e=44 degree
aasaaaaaaaaaaaaaaaaaaaa
Answer:
mjmdsfkjdsfjdfdjkfhdkfdkfdjhkjhfk
Step-by-step explanation:
dfjdbfjfshdgdsjhdh
Answer:
aasaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
hee haw i beat u i put more a's in my answer
Use an algebraic approach to solve the problem.
If a ring costs a jeweler $1500, at what price should it be sold to yield a profit of 50% on the selling price?
Answer:
$2250
Step-by-step explanation:
selling the ring at 100% of $1500 would equal 1500 and yield no profit
therefore, you must sell the ring at 150% (where 100% covers the cost and the additional 50% provides the profit) of 1500
1.5 x 1500 = 2250
Ahmed made the model of the Financial Center at Sowwah Square for his school project. The height of the building model is 20 cm and the base one is 40cm and the base two is 35 cm. Ahmed is finding the area of the building model. What is its area?
PLSSS HELPP
Answer:
Area = 1500 [tex]cm^{2}[/tex]
Step-by-step explanation:
Area= height ×(Base 1 +base 2)
Area = 20 × (40+35)
Area = 20×75
Area = 1500 [tex]cm^{2}[/tex]
(Please help this is due by Tuesday)
Answer:
A
Step-by-step explanation:
.Find x in the following figure. plss helpp need ans asap!
Answer:
80
Step-by-step explanation:
This is a pentagon (5 sides), n=5
The sum of internal angles equals (n-2)*180 = 540°
We have
A = 90
B = 180-40
C = 180-x
D = 180-60
E = 180-90
Sum all the angles to equal 540°
90 + 180-40 + 180-x + 180-60 + 180-90 = 540
620-x = 540
solve for x
x = 620 - 540 = 80
Answer:
80
Step-by-step explanation:
the answer should be 80 just as mathmate explained
Bye !
Please help 50 points!
Simplify the expressed
Answer:
Step-by-step explanation:
[tex]\frac{x^{2} -x-12}{x+4} * \frac{2x^{2}-32 }{x^{2} -8x+16}[/tex] rewrite as multiplication
[tex]\frac{x^{2} +3x-4x-12}{x+4} * \frac{2(x^{2}-16) }{x^{2} -8x+16}[/tex] look to factor
[tex]\frac{x(x+3)-4(x+3)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex] , difference of 2 squares and perfect square
[tex]\frac{(x+3)(x-4)}{x+4} * \frac{2(x-4)(x+4) }{(x-4)^{2}}[/tex], finish factoring and simplify
2(x+3)
The length of the ladder that will run from the ground to the door of the tree house is nine feet. The plan recommends that the rungs of the ladder be spaced at 8-inch intervals. The first and last rung should be 6 inches from the respective ends. How many rungs will the tree house ladder have?
Answer:
13 Rungs
Step-by-step explanation:
According to the Question,
Given, The length of the ladder that will run from the ground to the door of the treehouse is 9 feet ( 9 × 12 = 108 inches).The plan recommends that the rungs of the ladder be spaced at 8-inch intervals.
And, The first and last rung should be 6 inches from the respective ends.Thus, the rungs Cover on 108 -(6+6) = 96 inches with 8-inch gaping between each rung.
Therefore, the Total Rungs on the treehouse ladders have (96/8)+1 ⇒ 13 Ladders.Need quick help with this math
Answer:
Eleanor and Harold
Step-by-step explanation:
The decimal [tex]0.13\overline{7}[/tex] consists of the sum of two terminating decimals and one non-terminating decimal:
[tex]0.13\overline{7}=0.1+0.03+0.00\overline{7}[/tex]
Therefore, we have:
[tex]0.13\overline{7}=\frac{1}{10}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{10}{100}+\frac{3}{100}+\frac{7}{900},\\\\0.13\overline{7}=\frac{13}{100}+\frac{7}{900}=\frac{117}{900}+\frac{7}{900}=\boxed{\frac{124}{900}}[/tex]
Hector's answer is equivalent but not simplified. However, they are both technically correct.