Final answer:
To find the measure of the vertex angle in an isosceles triangle, subtract the measure of one of the exterior angles from 180, divide that sum by 2 to find the measure of each base angle, and then subtract one base angle from 180 to find the measure of the vertex angle. In this case, the measure of the vertex angle is 152.5 degrees.
Explanation:
To find the measure of the vertex angle in an isosceles triangle, we can use the fact that the sum of the measures of the interior angles of a triangle is 180 degrees. Since we know that the measure of one of the exterior angles is 125 degrees, we can subtract that from 180 to find the sum of the measures of the other two interior angles. Then, we can divide that sum by 2 to find the measure of each of the base angles. Finally, we subtract the measure of one base angle from 180 to find the measure of the vertex angle.
Let's follow these steps:
Sum of the measures of the other two interior angles = 180 - 125 = 55 degrees
Measure of each base angle = 55 / 2 = 27.5 degrees
Measure of vertex angle = 180 - 27.5 = 152.5 degrees
Therefore, the measure of the vertex angle in this isosceles triangle is 152.5 degrees.
40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now at 650 feet below sea level, what is its maximum depth? Show your work.
Answer:
The maximum is 780.
Step-by-step explanation:
1/6x+2/3x=650
Which is: 1/6x+4/6x=650
5/6x=650
5/6x÷5/6=650÷5/6
x=650 × 6/5
x= 780
The maximum depth the submarine descends to is; 780 ft
Let the maximum depth be x.It descends to 1/6 of max depth = (1/6)x
It descends another 2/3 of max depth = (2/3)x
After descending the depths above, it is now 650 ft below sea level. Thus;(1/6)x + (2/3)x = 650
x(1/6 + ⅔) = 650
x(5/6) = 650
x = 6 × 650/5
x = 780 ft
In conclusion, the maximum depth is 780 ft.Read more about depth below sea level at; https://brainly.com/question/25823081
Write an equation for a line perpendicular to y = 2 x + 5 y=2x+5 and passing through the point (-6,1)
fifteen more than half a number is 9
How do you write algebraic expressions to model quantities?
Algebraic expressions to model quantities
A businessman produces x Biscuits made up of wheat and rice daily, and another Business person produces y Snacks made up of vegetables daily.There is another person who manufactures z , drinks daily.Find total number of Biscuit,snack and Drink produced after 8 days.
So, Algebraic Expression will be
=8 x+8y+8z
As, there are three terms,so we call it Trinomial Expression.
Number 19. Answer to number 19) the figure shows a game...
My number is a perfect square.the only prime factorization is 2.my number is a factor of 32.the sum of its difits is odd---what is my number?
Marja bicycled 7 hours a day for 14 days. She traveled 294 miles. What is her unit rate of travel per day?
Marja's unit rate of travel per day is calculated by dividing the total miles she traveled (294 miles) by the number of days she biked (14 days). The result is 21 miles per day.
Explanation:The question asks for the unit rate of Marja's travel per day. Unit rate refers to the amount of quantity per one unit of another quantity. In this case, we want to find out how many miles Marja bicycles in a single day.
To calculate this, we need to take the total miles she traveled (294 miles) and divide it by the total number of days she biked (14 days). So, 294 miles ÷ 14 days = 21 miles/day.
This means Marja's unit rate of travel per day was 21 miles.
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ramon has a rope that is 25 1/2 feet long. he wants to cut it into 6 pieces that are equal in length. how long will each piece be?
Which is an equation in point-slope form for the given point and slope? point: (2,- 6) -3/4 openstudy?
A rhombus has a side length of 6 units what is it’s perimeter
Jaimi receives a $50.00 gift card to a local café. Her favorite drink at the café costs $3.75. If Jaimi buys her favorite drink every day, which algebraic expression can be used to represent the value on the gift card after d days?
The perimeter of the isosceles ABC with the base BC is equal to 40 cm. Perimeter of the equalateral BCD is 45 cm. Find AB and BC
the length of a rectangle is 2 cm less than 7 times the width. the perimeter is 62 cm. find the length and width
a scale drawing of a patio is shown (15 in by 14 in.). the scale is 4 inches : 6.8 feet. what are the length and width of the patio? find the patio's area.
The square playground has an area of 829 square feet. a fence must be built around the entire playground. what is the length of one side of the playground? answers
Jackson has 50 megabytes (MB) of space left on his smartphone. He can download songs that each use 3.5 MB or videos that each use 7 MB. He wants to download at least 10 new media files. Which pair of inequalities specifies the number of song files, x, and the number of video files, y, that Jackson can download?
What is the perimeter of a polygon with vertices at (3, 2) , (3, 9) , (7, 12) , (11, 9) , and (11, 2) ?
Enter your answer in the box. Do not round any side lengths.
Answer: 32 units
I did this lesson. it is correct, I promise
Applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.
Recall:
Perimeter of a polygon is the sum of all its sides.Distance between two vertices having coordinates can be calculated using the distance formula given as: [tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}[/tex]Assume the vertices of the polygon are named as:
A(3, 2) B(3, 9)C(7, 12)D(11, 9)E(11, 2)Perimeter of the polygon = AB + BC + CD + DE + AE
Find the distance between A(3, 2) and B(3, 9) using the distance formula:[tex]AB = \sqrt{(9 - 2)^2 + (3 - 3)^2}\\\\AB = \sqrt{7^2 + 0^2} \\\\AB = \sqrt{49} \\\\\mathbf{AB = 7}[/tex]
Find the distance between B(3, 9) and C(7, 12) using the distance formula:[tex]BC = \sqrt{(12 - 9)^2 + (7 - 3)^2}\\\\BC = \sqrt{3^2 + 4^2} \\\\BC = \sqrt{25} \\\\\mathbf{BC = 5}[/tex]
Find the distance between C(7, 12) and D(11, 9) using the distance formula:[tex]CD = \sqrt{(9 - 12)^2 + (11 - 7)^2}\\\\CD = \sqrt{-3^2 + 4^2} \\\\CD = \sqrt{25} \\\\\mathbf{CD = 5}[/tex]
Find the distance between D(11, 9) and E(11, 2) using the distance formula:[tex]DE = \sqrt{(2 - 9)^2 + (11 - 11)^2}\\\\DE = \sqrt{-7^2 + 0^2} \\\\DE = \sqrt{49} \\\\\mathbf{DE = 7}[/tex]
Find the distance between A(3, 2) and E(11, 2) using the distance formula:[tex]AE = \sqrt{(2 - 2)^2 + (11 - 3)^2}\\\\AE = \sqrt{0^2 + 8^2} \\\\AE = \sqrt{64} \\\\\mathbf{AE = 8}[/tex]
Perimeter of the polygon = 7 + 5 + 5 + 7 + 8 = 32 units.
In summary, applying the distance formula, the perimeter of the polygon that has the given vertices is calculated as: 32 units.
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Find the slope of the line.
Help please practical math
Jackie has cheering practice on Thursday and Friday if it doesn't rain. Thursday there is a 20% chance of rain and Friday there is a 40% chance of rain. What percent chance is there that it will rain on both Thursday and Friday?
HELP WILLMARK BRAINLIEST.!!!!
The sales tax for an item was $7.40 and it cost $370 before tax. find the sales tax rate. write your answer as a percentage.
The sales tax rate is 2%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that, the cost of the item is $370.
Sales tax of item is $7.40.
Let the sales tax is m%.
To find the sales tax in percentage:
Use percentage formula;
7.40 = m x 370 / 100
m = 7.40 x 100 / 370
m = 740 / 370
m = 2
The sales tax is m = 2%.
Hence, the sales tax rate is 2%.
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♫ I have a Brainliest♫ Math situation
GUYS PLEASE HELP QUICK I'M OFFERING 10 PTS AND BRAINLIEST ANSWER
the length of a rectangle is twice its width. The area of the rectangle is 32 square feet. what are the length and width? which equation models this problem?
A) 32w = 2w + w
B) w - 2w = 32
C) 2w x w = 32
D) 2w+w = 32
Can someone please help me with this question?
Write the following in scientific notation:
1) 12 756 =
2) 116 464 =
3) 142 984 =
4) 1 392 000 =
5) 59 770 000 =
6) 903 500 000 =
7) 2 644 800 000 =
Which equation shows y = − 12x +4 in standard form?
A. x + 2y = 8
B. 2x + y = 8
C. x + 2y = − 8
D. 2x − y = 8
Answer: The equation that shows y=-(1/2)x+4 is standard form is x+2y=8
Option A. x+2y=8
Solution:
y=-(1/2)x+4
Standard form of the equation Ax+By=C, with A, B, and C integer numbers
The coefficient of x is a fraction. To simplify the fraction, let's multiply both sides of the equation by 2:
2y=2 [ -(1/2)x+4]
2y=-2(1/2)x+2(4)
2y=-(2/1)(1/2)x+8
2y=-[(2*1)/(1*2)]x+8
2y=-(2/2)x+8
2y=-1x+8
2y=-x+8
The two variables must be on the left of the equation, then adding x both sides of the equation:
2y+x=-x+8+x
x+2y=8
This is you correct answer
A painter is paid 11 dollars per hour and can paint 8 m^2 with a roller in this time. renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m^2 per hour with the spray gun. it takes 1/2 an hour for the painter to clean up after using the roller, but 1 hour using the spray gun. you must pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. how much money do you save by using the spray gun on a paint job that involves painting 40 m^2.
$12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
What is Equation?Two or more expressions with an Equal sign is called as Equation.
A painter is paid per hour: 11 dollars
Paint with a roller in this time: 8 m²
it takes 1/2 an hour for the painter to clean up after using the roller,
Renting a spray gun costs 5 dollars for each hour of use, and the painter can paint 20 m² per hour with the spray gun.
it takes one hour for the painter to clean up after using the Spray.
We have to calculate how much we have to pay the painter for her time and you must also pay for renting the spray gun for the total amount of time (including clean up) the spray gun was needed. and how much the spray gun on a paint job that involves painting 40 m^2.
Roller
40m²/8m²=5 hrs
5hr to paint with roller.
Total time =5+0.5=5.5hrs
Amount paid=5.5×11=$60.5
40m²/20m²=2 hrs
2 hr to paint with roller.
Total time 2+1=3hr
Amount 3×11+5(3)=$33+15=$48
The saving by using the spray gun on a paint job that involves painting 40 m².
60.5-48=$12.5
Hence $12.5 money do you save by using the spray gun on a paint job that involves painting 40 m²
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What are the slope and the y-intercept of the line T=14N+40
Final answer:
The slope of the line represented by T=14N+40 is 14, and the y-intercept is 40.
Explanation:
The equation T=14N+40 is in the form y=ax+b, where a represents the slope and b represents the y-intercept. In this equation, 14 is the coefficient of N (which takes the role of x in the general form), indicating that the slope of the line is 14. The constant term is 40, indicating that the y-intercept is 40.
The sum of a number and its reciprocal is 13/6. find the number