find the values of x, z and y
The values of x is 82° , z is 98°and y is 69°. in the given triangle.
Is the sum of all triangle angles always 180 degrees?Because one outside angle of a triangle is equal to the total of the other two angles in the triangle, the angles of a triangle add up to 180 degrees. In other words, the third angle must join with the other two angles in the triangle to generate a 180-degree angle (the two angles that add up to form the outside angle).
we know that the sum of angle of triangle = 180
so,
x+ 60 +38=180
x=180-8
x=82°
and also
x+z = 180
z= 98°
for value of y
13 + 98 +y = 180
y= 69°
To know more about angle of triangle visit:-
brainly.com/question/28793979
#SPJ1
Why is it called logarithmic function?
A logarithm is the inverse operation of exponentiation, that is to say, log(a^b) = b, where log is logarithm, a is the base and b is the exponent.
A logarithmic function is called such because it relates the logarithm of a number to the number itself.
In other words, it is a function that expresses the value of the logarithm for a given number. This function is represented by the notation y = logb(x) where y is the logarithm, b is the base, and x is the number.
The logarithmic function is used to solve exponential equations, it is also useful in many fields such as mathematics, physics, engineering, and finance.
To know more about logarithms visit: brainly.com/question/28346542
#SPJ4
I WILL MARK BRAINLYEST AND 40 POINTS
Describe a meal that you could put together that provides 4 servings of both a main course and a side dish. Explain how you know that it will not exceed the weight limit of the box
The total number of servings of chicken the food bank can provide is 70 servings.
What is per unit?Per-unit is a technique of expressing a quantity's value in terms of a base or reference quantity. Each system variable or quantity in a per-unit system is normalized in relation to its own base value.
Two chickens make up the main course of a plate of food, according to the table's content. Each chicken served by the food bank weighs 12.6 ounces. 110.9 pounds of chicken are available at the food bank (1,774.4 ounces of chicken)
Thus,
The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving
The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)
∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413
Given that the servings are in whole numbers, we have;
therefore, To the nearest whole number, the food bank can offer a maximum of 70 servings of chicken.
Learn more about per-unit here:
https://brainly.com/question/29355214
#SPJ1
Find the slope of a line parallel to the line whose equation is 10x+6y=_96
Answer:
Slope=-3.333/2.000=-1.667
X-intercept= -13/5 = -2.60000
Y-intercept= -13/3 = 14.33333
What is the y-intercept of the quadratic function f/x )=( x 8 )( x 3?
The y-intercept of the quadratic function f(x) = (x - 8)(x + 3) is (0, -24).
The graph's intersection with the y-axis is known as the y-intercept. Finding the intercepts for any function with the formula y = f(x) is crucial when graphing the function. An intercept can be one of two different forms for a function. The x-intercept and the y-intercept are what they are. A function's intercept is the location on the axis where the function's graph crosses it.
This is an illustration of a y-intercept. Think about the line y = x + 3. The point where this graph crosses the y-axis is (0,3). Therefore, the y-intercept of the line y = x+ 3 is (0,3).
To learn more about y-intercept :
https://brainly.com/question/25722412
#SPJ4
the image below is the one you need to solve
Option c: y = -x + 5 represents scatter plot 1, Option g: The relationship is not linear represents scatter plot 2, Option a: y = 3x represents scatter plot 3, and Option f: y = x + 3 represents scatter plot 4.
What is a scatter plot?
The graphs that show the association between two variables in a data set are called scatter plots. It displays data points either on a Cartesian system or a two-dimensional plane.
The given equations are -
a. y = 3x
b. y = 4x - 2
c. y = -x + 5
d. y = -5x
e. y = -2x - 4
f. y = x + 3
g. The relationship is not linear.
The first scatter plot is going from positive y-axis to positive x-axis in a linear form. The graph for the equation that goes from positive y-axis to positive x-axis is y = -x + 5.
The second scatter plot is a curved parabola going and not a linear plot. So, the scatter plot is said to be a non-linear scatter plot.
The third scatter plot is going from positive x-axis to infinity in a linear form. The graph for the equation that goes from x-axis to infinity is y = 3x.
The fourth scatter plot is going from positive y-axis to infinity in a linear form. The graph for the equation that goes from positive y-axis to infinity is y = x + 3.
Therefore, scatter plot 1 is represented by equation y = -x + 5, scatter plot 2 is not linear, scatter plot 3 is represented by equation y = 3x and scatter plot 4 is represented by equation y = x + 3.
To learn more about scatter plots from the given link
https://brainly.com/question/6592115
#SPJ1
There is something wrong with the reason. I don’t know what it is. Could someone help me. The picture of the figure is on the next post.
9514 1404 393
Answer:
CPCTC
Step-by-step explanation:
The applicable reason for statement 4 is "Corresponding Parts of Congruent Triangles are Congruent (CPCTC)".
The reason shown in your problem statement is applicable only within one triangle. The segments of interest are in two different triangles.
LAST QUESTION....
6. Which cylinder do you think has the greater volume?
Cylinder A: radius 1 m and height 2 m, or
Cylinder B: radius 2 m and height 1 m. Explain.
Answer:
it should be cylander b
Step-by-step explanation:
the formula for volume is πr^2(h) and the number being squared would need to be bigger for a greater volume.
This probability distribution shows the typical grade distribution for a Geometry course with 35 students . A B С DF Grade Frequency 5 10153 2 Find the probability that a student earns a grade of B. p=[?]
Answer:
[tex]p=0.29[/tex]
Step-by-step explanation:
[tex]Total ~ of ~students=35[/tex]
[tex]Probability =10/35=0.29[/tex]
----------------------------
hope it helps....
have a great day!!
Answer:
p=0.29
Step-by-step explanation:
hope it helps...
Which shows that the set of irrational numbers under addition is not closed?
3+3
π + π
π +3
3π + (−3π)
The option that shows that the set of irrational numbers under addition is not closed is B. π + π.
What is an irrational number?All real numbers that are not rational numbers are referred to as irrational numbers in mathematics. In other words, it is impossible to express an irrational number as the ratio of two integers. The collection of real numbers known as irrational numbers, where p and q are integers, are those that cannot be expressed as fractions, such as p/q.
The example of "π + π" shows that the set of irrational numbers under addition is not closed, because the result of adding two irrational numbers (π + π) is an irrational number (2π) which is not included in the set of irrational numbers.
Learn more about irrational number on:
https://brainly.com/question/20400557
#SPJ1
Please helppp WILL MARK BRAINLIEST
Answer:
110°
Step-by-step explanation:
i dont think u need explanation so ill do it fast
7. You just landed back in Michigan at the airport, but cannot remember where you
parked your car. There are 8 letter sections (A, B, C, D, E, F, G, H) and each
section is labeled 1-22 in the lot. Find the probability that you correctly guess
the letter section and then guess the correct number section where your car is
located. Write your answer as a percentage rounded to the hundredth.
The probability that you correctly guess the letter section and then guess the correct number section where your car is located is 0.01.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Total possible outcomes.
= 8 x 22
= 176
Now,
Probability of guessing the correct letter.
= [tex]^8C_1[/tex] / 176
Probability of guessing the correct section.
= [tex]^{22}C_1[/tex] / 176
The probability that you correctly guess the letter section and then guess the correct number section.
= [tex]^8C_1 \times ^{22}C_1[/tex] / 176 x 176
= 8 x 22 / 176 x 176
= 1 / 176
= 0 .005
= 0.01
Thus,
The probability that you correctly guess where your car is located is 0.01.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ1
What is the y-intercept of the line?
b=?
Answer:
2
Step-by-step explanation:
look at where it intersects the line that goes straight up
In baseball, each time a player attempts to hit the ball, it is recorded. the ratio of hits compared to total attempts is their batting average. each player on the team wants to have the highest batting average to help their team the most. for the season so far, jana has hit the ball 7 times out of 10 attempts. tasha has hit the ball 10 times out of 16 attempts. which player has a ratio that means they have a better batting average? tasha, because she has the lowest ratio since 0.7 < 0.625 tasha, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the highest ratio since 56 over 80 is greater than 50 over 80 jana, because she has the lowest ratio since 0.7 < 0.625
Answer: i need your help, XD
Step-by-step explanation:
Evaluate the expression 2^x- x^22
x
−x
2
2, start superscript, x, end superscript, minus, x, squared for x=5x=5
The evaluation of the expression 2ˣ - x² when x = 5 is 7
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: 2^x- x^2
Value x = 5
Rewrite the expression as
Expression: 2ˣ - x²
Substitute the known values in the above equation, so, we have the following representation
2ˣ - x² = 2⁵ - 5²
When the exponents are evaluated. we have
2ˣ - x² = 32 - 25
Evaluate the like terms in the equation
So, we have the following representation
2ˣ - x² = 7
Using the above as a guide, we have the following:
The solution is 7
Read more about equation at
https://brainly.com/question/2476251
#SPJ1
PLEASE HELP!! And explain :) THANKS
Because two triangles are said to be congruent when all three of their corresponding sides and all three of their corresponding angles have the same measure, the right answer is SSS.
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found.
In the order below, beginning with triangles DAB and BCD, write the names of the vertices.
AB = CD
DA = BC
Since both triangles' BD sides are the same, BD = BD.
The SSS feature of a congruent triangle allows us to conclude that the triangles DAB and BCD are congruent since they share the same three sides.
To know more about triangle visit:
https://brainly.com/question/2773823
#SPJ1
18 9/10 + 8 3/10 ?????.....
27 2/10
or
27 1/5
----------------------------------
A plant is 5cm tall and growing at a rate of 3cm a month. How many months would it take for the plant to reach 23cm?
Answer:
6 months
Step-by-step explanation:
5cm +3x = 23 (goal)
-5 -5
3x=18
x=6 months
Answer:
plant b height will exceed the height of plant a after 16 days.
Step-by-step explanation:
Plant a: 5 cm tall and rate of change = 3 cm per month
Plant b: 4 cm tall and rate of change = 5 cm per month.
Now we have to form the linear equations.
Plant a:
y = 3x + 5, where y is the total height and "x" be the number of months.
Plant b:
y = 5x + 4 , where y is the total height and "x" be the number of months.
Now we have to when the height of the plant a and plant b are the same.
To do that, we have to equivate both the equations and find x.
3x + 5 = 5x + 4
Isolate the variables terms and constants.
5x - 3x = 5 - 4
2x = 1
Dividing both sides by 2, we get
x = 1 ÷ 2
x = 0.5 months.
So after 15 days, the height of the plant a and plant b are the same.
Therefore, plant b height will exceed the height of plant a after 16 days.
I don’t understand I need help:(
Answer:
a=11
Step-by-step explanation:
set the formula up as
22+7a = 9a
22 = 9a - 7a
22 = 2a
22/2 = a
11 = a
Find the value of x.
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
The triangles are similar so
x + 46 + 78 = 180
x = 56°
A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height
Answer:
120
Step-by-step explanation:
you are multiping you are trying to get the number of the base
There are 5 strikers and 10 defenders in a football squad of 44. One player is chosen at random. What is the probability a striker is chosen?
Answer:
12 percent chance
Step-by-step explanation:
Find the volume of the cone either enter an exact anwer in term of pi or ue 3. 14. For pie. R= 5 l=6
The volume of the cone is 50π cubic units .
What is a cone ?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
A cone has a circular base.
A cone has no edges, one face, and one vertex.
The length of the line segment from a cone's apex to any point around the circle of the cone's base is known as the slant height of the cone.
A right circular cone is a cone with its apex perpendicular to the base of the cone and directly above it.
An oblique cone is one that doesn't have its apex precisely over the base's circle.
Radius of the cone = 5
Height of the cone is 6
Volume of the cone = [tex]\frac{1}{3}\pi r^{2} h[/tex] = [tex]\frac{1}{3}\pi *5^{2}* 6 = 50\pi[/tex] cubic units.
To learn more about Cone refer to :
https://brainly.com/question/21918619
#SPJ4
Which equation can be used to find the surface area of the cylinder?
Answer:
The fourth one
Step-by-step explanation:
Surface area of a cylinder: [tex]SA=2\pi rh+2\pi r^2[/tex]
where r = radius and h = height
We have a given height of 14cm and a given diameter of 6cm
We need the radius, not the diameter
To convert diameter to radius we simply divide by 2
6 / 2 = 3
so R = 3
We now plug in the given values into the formula
[tex]SA=2\pi (3)(14)+2\pi (3)^2[/tex]
This equation matches with answer choice D
helppppppppppppppppppppppppppppppppppppp
Answer: 527.79 m²
Step-by-step explanation:
formula is A = 2πrh + 2πr²
A = 2π x 4 x 17 + 2π x 4²
A = 527.79 m²
10. The sum of three consecutive odd numbers is 69. Find the numbers of P is the largest
number
Answer:
The numbers would be 21,23 and 25.
The largest is 25. (If this is what you are asking)
Step-by-step explanation:
The question stated that 3 consecutive odd numbers made up that 69.
Therefore, you can divide the 69 by 3 to determine the range of these numbers.
69/3= 33. So we know the range is 30-35-39 (These are the numbers youd look at to see which consecutive numbers adds up to the 69)
Reason why you divide:
For example, you wouldnt be able to use a number in its 30s or 10s because itd be too high or too low.
Hope it helps.
What do we call a decimal that does not terminate?
Answer:
Irrational number
Step-by-step explanation:
Witch of the following options have the same value as 75% of 96 ?
Answer:
[tex]75\% \: of \: 96 \\ = \frac{75}{100 } \times \frac{96}{1} \\ = \frac{3}{4} \times \frac{96}{1} \\ = 24 \times 3 \\ = 72[/tex]
Help! What’s the expression of m more than 2
Answer:
2 + m
Step-by-step explanation:
(pesos and Php are philippine coins and money so just imagine pesos as coins if u arent filipino)
It has been Cheri's habit to collect 5 peso and 10 peso coins starting january of every year, to save up for her family's annual outreach to a local community at the end of the year. At the end of the year, she has saved a total of Php 2285 . If she has 11 more 10 pesos than 5 peso coins, how many coins of each does she have
Cheri collected 145 number of 5 peso coin and 156 number of 10 peso coin during her family's annual outreach
What is an equation?An equation is used to show the relationship between numbers and variables.
Let x represent the number of 5 peso coins and y represent the number of 10 peso coin
At the end of the year, she has saved a total of Php 2285, hence:
5x + 10y = 2285 (1)
Also, she has 11 more 10 pesos than 5 peso coins, hence:
y = x + 11 (2)
Solving both equations using elimination method gives:
x = 145, y = 156
Cheri had 145 number of 5 peso coin and 156 number of 10 peso coin.
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1