Answer:
x = 6 , z = 79
Step-by-step explanation:
(8x + 53) and (6x + 43) are adjacent angles and sum to 180° , that is
8x + 53 + 6x + 43 = 180 , that is
14x + 96 = 180 ( subtract 96 from both sides )
14x = 84 (divide both sides by 14 )
x = 6
Then
6x + 43 = 6(6) + 43 = 36 + 43 = 79
z and 79 are vertical angles and congruent , then
z = 79
Answer:
x = 6
z = 79
Step-by-step explanation:
We know that angles on a straight line add up to 180.
With this in mind:
(6x+43)° + (8x+53)° = 180hence 14x+96=18014x=84x=6For z:
since x = 6(8x+53)° + z° = 180101 + z = 180z = 79Another approach using the property where opposite angles are equal:
(6x+43) = z79 = zI NEED HELP PLS SOMEONE HELP ME!!!!
Answer:
126 centimeters squared
Step-by-step explanation:
name three solutions of the inequality of z < 4
the answer is: 1,2,3
the inequality represents less than, meaning the value of z is less than 4
which leaves us with 3 numbers, 1, 2 and 3
Hometown Gym charges a $200 membership fee and $45 per month. Local Gym charges a $50 membership fee and $55 per month. Write an equation to represent the situation. After how many months will the total amount of money paid to both gyms be the same?
Answer:
=> membership fee = $50
=> monthly fee = $55
=> First month = 105$
=> 50 + 55(x)
=> 50 + 55 (15)
=> 50 + 825
=> 875
Workout gym
=> membership fee = $200
=> monthly fee = $45
=> First month = 245$
=> 200 + 45(x)
=> 200 + 45(15)
=> 200 + 675
=> 875
2 1/4 feet =______ inches
Answer:
27 in
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Given this set of data: 132 127 106 140 158 135 129 138 What are the lower outlier limit and the upper outlier limit ? Answers separated by a comma and a space. Ex. 11, 179 * 1 point
Answer:
(111.5, 155.5)
Step-by-step explanation:
Given the data:
132 127 106 140 158 135 129 138
The Outlier formula :
Lower = Q1 - 1.5(IQR)
Higher = Q3 + 1.5(IQR)
Using a calculator :
Q1 = 128
Median, Q2 = 133.5
Q3 = 139
IQR = Q3 - Q1 = 139 - 128 = 11
Lower = Q1 - 1.5(IQR) = 128 - 1.5(11) = 111.5
Higher = Q3 + 1.5(IQR) = 139 + 1.5(11) = 155.5
(111.5, 155.5)
What is the shaded area ? Help Asas please !..
Answer:312
Step-by-step explanation:
It has been found that 6% of all automobiles on the road have defective brakes. If 5 automobiles are stopped and checked by the police, find the probability that at LEAST one will have defective brakes.
Answer: umm
Step-by-step explanation:
Find the product.
(2x^2 - 4x + 1)(5x-7)
10x^3 - 34x^2 + 33x - 7
7x^3 - 20x^2 + 33x - 7
10x^3 - 6x^2 - 23x - 7
10x^3 + 6x^2 - 20x-7
Check out this rectangular prism: Find the surface area of the rectangular prism (above) using its net (below).
Answer:
Please tell me more
Step-by-step explanation:
What is the slope of the line described by the equation 4x + 6y = 12?
Answers:
-3/2
-2/3
2/3
3/2
A rectangular prism is shown below. Find the volume. 1.3 ft 1.5 ft 2.3 ft 23 “ Your answer can be exact or rounded to the nearest tenth.
Answer:
4.485 ( rounded = 4.5)
Step-by-step explanation:
1.3 x 1.5 x 2.3 = 4.485
En un salon de una academia solo asisten a un examen los 3/4 de los alumnos y de estos aprueban los 4/5 ; si los desaprobados son 21 ¿cuantos alumnos hay en dicha aula?
Answer:
Hay 140 alumnos en dicha aula.
Step-by-step explanation:
Primero, debes encontrar la cantidad de alumnos que aprobaron que corresponde a 4/5 usando una regla de tres teniendo en cuenta que sabes que 1/5 corresponde a 21 que son los estudiantes que no aprobaron:
1/5 → 21
4/5 → x
x=(4/5*21)/1/5
x=(84/5)/(1/5)
x=84*5/5*1
x=420/5
x=84
Ahora, puedes sumar el número de estudiantes que aprobaron con el número de estudiantes que no aprobaron para encontrar el total que estudiantes que asistieron al examen:
84+21=105
Después, dado que sabes que 105 estudiantes corresponde a 3/4 de los alumnos en un aula, puedes usar una regla de tres para encontrar el número de estudiantes en el aula:
3/4 → 105
1 → x
x=(1*105)/(3/4)
x=(105/1)/(3/4)
x=105*4/1*3
x=420/3
x=140
De acuerdo a esto, la respuesta es que hay 140 alumnos en dicha aula.
Can someone please help me understand how to do this???
Answer:
is it 83.3
Step-by-step explanation:
Given two solutions x=-5 and x=7 of a quadratic function, is the value of a =1 or can the value of a different value?
What is the probability of rolling a multiple of 2 with one toss of a number cube?
Answer:
P(number of cube) = 3/6
=1/2
A composite figure is shown below.
What is the area of the figure?
A 6
B 8
C 9
D 10
Answer:
option C 9 unit².
Step-by-step explanation:
option C 9 units ²
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Erica has 1 5/8 cups of yogurt to make smoothies. Each smoothie uses 1/3 of a cup of yogurt. What is the maximum number of smoothies that Erica can make with the yogurt?
Answer:
4 smoothies.
Step-by-step explanation:
We divide 1/3 into 1 5/8 ( which is 13/8).
= 13/8 / 1/3
= 13/8 * 3
= 39/8
= 4 7/8
Maximum number = 4.
Witch answer choice represents a person running 90 calories by climbing 18 flights of stairs
Answer:
fr
Step-by-step explanation:
fr
Does the set of ordered pairs {(3, 11), (6, 1), (6, 4), (15, 4), (18, 18)} define a function?
Answer:
D no because 18 is paired with itself
If the sin of an angle is the same as the cos of a second angle, then the two angles are
a) complementary
b) right
c) supplementary
d) congruent
Answer:
Congruent Step-by-step explanation:
b
Step-by-step explanation:
A triangle has sides with lengths of 44 meters, 55 meters, and 77 meters. Is it a right triangle?
Answer:
no it is not a right triangle because the lengths add up to 176 and a right triangle should add up to 190.
Step-by-step explanation:
The side measures of the triangle does not form a right triangle.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The side lengths of the triangle are 44 meters, 55 meters, 77 meters.
For the triangle to be a right triangle, one interior angle should be 90°.
Based on the sides, by Pythagoras theorem,
Square of long side = sum of square of other two sides
⇒ [tex]77^{2}=44^{2} +55^{2}[/tex]
⇒ [tex]5929=1936+3025[/tex]
⇒ [tex]5929\neq 4961[/tex]
Hence we can conclude that the side measures of the triangle does not form a right triangle.
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Find the slope of the line
Answer:
Your answe is 1
Step-by-step explanation:
Formula : y2-y1/x2-x1
A video game system was orignally priced at $250.00. After a sale, the new price of the video game system was $200.00. What is the percent of decrease of the video game system after the sale? Enter your answer in the box provided.
Answer:
20%
Step-by-step explanation:
Answer:
20%
Step-by-step explanation:
4. The graph of h(x) = x^2 was transformed to create the graph of k(x) = -4x^2? Which of these describes the transformation from the graph of h to the graph
of k? A.) A reflection over the x-axis and a vertical
stretch
B.) A reflection over the x-axis and a vertical
compression
C.) A reflection over the y-axis and a vertical
compression
D.) A reflection over the y-axis and a vertical stretch
Answer:
A. A reflection over the x-axis and a vertical stretch.
Step-by-step explanation:
Let [tex]h(x) = x^{2}[/tex], to obtain [tex]k(x) = -4\cdot x^{2}[/tex], we need to use the following two operations:
(i) Vertical stretch
[tex]g(x) = k\cdot f(x)[/tex], [tex]k\in \mathbb{R}^{+}[/tex]
(ii) Reflection over the x-axis
[tex]g(x) = -f(x)[/tex]
Let prove both transformations in [tex]h(x)[/tex]:
Step 1 - Vertical stretch ([tex]k = 4[/tex])
[tex]h'(x) = 4\cdot x^{2}[/tex]
Step 2 - Reflection over the x-axis
[tex]k(x) = -4\cdot x^{2}[/tex]
Hence, correct answer is A.
draw a number line and represent the following rational numbers on it:1:3/4
Answer:
It is your answer please mark me brainlist
Step-by-step explanation:
follow
Al principio Eduardo y Adrián tenían el mismo número de dulces. Eduardo le dio a Adrián la mitad de los dulces que tenía. Después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces. ¿Cuántos dulces tenía Eduardo al final? *
Answer:
Al final, Eduardo tenía 20 dulces.
Step-by-step explanation:
Dado que al principio Eduardo y Adrián tenían el mismo número de dulces, y Eduardo le dio a Adrián la mitad de los dulces que tenía, y después, Adrián le dio a Eduardo la mitad de los dulces que tenía él en ese momento, así que a Adrián le quedaron 12 dulces, para determinar cuántos dulces tenía Eduardo al final se debe realizar el siguiente cálculo:
Eduardo 1X = Adrián 1X
Eduardo 0.5X = Adrián 1.5X
Eduardo 1.25X = Adrián 0.75X
0.75 X = 12
X = 12 / 0.75
X = 16
1.25 X = 16 x 1.25 = 20
Así, al final, Eduardo tenía 20 dulces.
Which equation can be simplified to find the inverse of y = 2x²?
O1/y=2x²
Oy=1/2x²
O-y= 2x²
O x= 2y²
Answer:
y=1/2x²
Step-by-step explanation:
y=2x-²
y=1/2x²
The equation can be simplified to find the inverse of y = 2x² is y=1/2x², the correct option is B.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
We are given that;
Equation y = 2x²
Now,
To find the inverse of a function, you need to swap the x and y variables and solve for y. So, the equation that can be simplified to find the inverse of y = 2x² is x = 2y². You can simplify it by dividing both sides by 2 and taking the square root of both sides. The inverse function is y = ±√(x/2).
Therefore, by the equation the answer will be y=1/2x²
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You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction 111 333 Packets of lemonade mix 111 333 999 Is the amount of sugar you need proportional to the amount of lemonade mix you use?
Answer:
Yes, the amount of sugar you need proportional to the amount of lemonade mix you use.
Step-by-step explanation:
You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar
1/3
1
3
Packets of lemonade mix
1
3
9
Is the amount of sugar you need proportional to the amount of lemonade mix you use?
Cups of sugar ∝ Number of packets
C ∝ N
C = k/N
k = C/N
a) For
1/3 cups of sugar and 1 packet of Lemonade mix
1/3 ∝ 1
1/3 = 1k
k = 1/3/1
k = 1/3
b) For
1 cups of sugar and 3 packets of Lemonade mix
1 ∝ 3
1 = 3k
k = 1/3
k = 1/3
c) For
3 cups of sugar and 9 packets of Lemonade mix
3 ∝ 9
3= 9k
k = 3/9
k = 1/3
Therefore, Yes, the amount of sugar you need proportional to the amount of lemonade mix you use. This is because the value is k is the same
Answer:
yes
Step-by-step explanation:
18a³/-3a
reduse the equation to it's smallest form
Step-by-step explanation:
= 18 a³/ - 3 a
= - 6 a²
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5(a+b), if a = -4, b= -2
HELP PLZ
Answer:=−10
Step-by-step explanation:
[tex]{ \rightarrow{ \sf{ \green{ \: \: \: 5(a + b)}}}} \\ \\ { \tt{ \blue{a = - 4}}} \\ { \tt{ \blue{b = - 2}}} \\ \\ { \dashrightarrow{ \sf{ \green{5( - 4 - 2)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{5 \times ( - 6)}}}} \\ \\ { \dashrightarrow{ \sf{ \green{ - 30}}}}[/tex]