a right angle is 90 degrees
the other 2 angles must equal 180-90 = 90 degrees
1st angle = x
2nd angle = 4x+10
add them together:
x + 4x +10 = 90
combine like terms:
5x +10 = 90
subtract 10 from each side:
5x =80
divide both sides by 5:
x = 80 /5 = 16
1st angle = 16 degrees
2nd angle = 4(16) +10 = 64 +10 = 74 degrees
What is the value of m? 12+(7+m)=30 Drag and drop the correct answer in the box.
Answer:
11
Step-by-step explanation:
12+(7+m)=30
12+7=19
30-19=11
m=11
if you know 8×10=80, what other related multiplication fact do you know?
Is the graph of a function that relates a squares side length to its perimeter continuous or discrete
One integer is eight less than another integer. The sum of the two integers is fifty. What are the integers?
Answer:
x+x-8=50
2x=58
x=29
x=21
Step-by-step explanation:
x+x-8=50
2x=58
x=29
x=21
hope this helps have an amazing day :)
A total of 8,644 people went a football game 5,100 sat on the home side rest sat on visitors side if people on visitors side filled 8 equal sections how many people sat in each sections
Answer: 443 each row
Step-by-step explanation:its simple u can find out how many people sat on the vistor side (which was 3544) and divide that by 8 sfn u get ur answer think about it next time bud!
Which is the best definition of a quadrilateral?
A.
a 4-sided polygon with no equal sides
B.
a parallelogram with no equal sides
C.
a 4-sided polygon
D.
a parallelogram with 2 pairs of equal angles
Jaime wrote 4.4 - 0.33 = 1.1. Is his answer reasonable? Why or why not ( PLEASE HELP ME )
A section of a boardwalk is made using 15 boards. Each board is 9 1/4 inches wide. The total width of the section is 144 inches. The spacing between each board is equal. What is the width of the spacing between each board? Write your answer in simplest form.
Relationship A has a greater rate than Relationship B. This table represents Relationship B.
Hours worked (2 ) (4 ) (5 ) (8 )
Amount paid (30.40) (60.80) (76) (121.60)
Which equation could represent Relationship A? Hours worked is represented by x and Amount paid is represented by y.
Select each correct answer.
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x
The correct equation that could represent Relationship A, which has a greater rate than Relationship B, is A. y = 16.4x as it is the only rate per hour greater than that of Relationship B's $15.20 per hour.
The student's question concerns comparing rates of pay in two different linear relationships. Given the table for Relationship B, we can calculate the rate per hour for Relationship B and then compare this to the rates provided in the equations for Relationship A. By looking at the data provided for Relationship B, we can see that the rate is constant. For example, for 2 hours worked, the amount paid is $30.40, which results in a rate of $30.40 / 2 hours = $15.20 per hour.
Because Relationship A has a greater rate than Relationship B, we are looking for an equation where the rate (slope) is greater than $15.20 per hour. Therefore, we eliminate any option where the rate is less than or equal to $15.20. Looking at the provided options:
A. y = 16.4x
B. y = 14.9x
C. y = 15.4x
D. y = 15.2x
Since options B ($14.9 per hour), C ($15.4 per hour), and D ($15.2 per hour) have rates that are either less than or equal to the rate of Relationship B, they cannot represent Relationship A which has a greater rate. Therefore, the only possible option is A. y = 16.4x, which represents a rate that is greater than the rate we determined for Relationship B.
Ana runs 3/4 miles in 6 minutes or 1/10 hour. What is her spores in miles per hour?
(12x-32) factored using GCF
How does alternate freezing and thawing of water cause weathering to occur?
How does alternate freezing and thawing of water cause weathering to occur? Freezing chemically alters the rock surfaces Water expands when it freezes and cracks rocks open Thawing causes rock particles to move from place to place. User is waiting for your help.
90/ [10(3squared - 4)
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
The gas mileage of Ms. Gonzalez's car is 48 miles per gallon. Therefore, the correct answer is B. 48 miles per gallon.
To find the gas mileage of Ms. Gonzalez's car, we divide the total distance travelled by the amount of gas consumed.
Given:
- Total distance travelled = 420 miles
- Amount of gas consumed = 8 3/4 gallons
To find the gas mileage, we divide the total distance by the amount of gas:
[tex]\[ \text{Gas mileage} = \frac{\text{Total distance}}{\text{Amount of gas consumed}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420}{8 \frac{3}{4}} \][/tex]
To divide by a mixed number, we first convert it to an improper fraction:
[tex]\[ 8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4} = \frac{32 + 3}{4} = \frac{35}{4} \][/tex]
Now, we can perform the division:
[tex]\[ \text{Gas mileage} = \frac{420}{\frac{35}{4}} \][/tex]
[tex]\[ \text{Gas mileage} = \frac{420 \times 4}{35} = \frac{1680}{35} \][/tex]
[tex]\[ \text{Gas mileage} = 48 \text{ miles per gallon} \][/tex]
Rounded to the nearest mile per gallon, the gas mileage is 48 miles per gallon.
So the correct answer is: B. 48 miles per gallon.
Complete Correct Question:
Ms. Gonzalez hybrid car can travel 420 miles on 8 3/4 gallon of gas. What is the gas mileage on the car? Round to the nearest mile per gallon, if necessary .
A. 43 miles per gallon
B. 48 miles per gallon
C. 49 miles per gallon
D. 50 miles per gallon
-2(u+3)-5u
use distributive property to simplify
35 birds to 45 birds?
Simplify 26/5(5/13b+10/26) .
The ratio of red poms to yellow poms on a float is 5 to 7. if there are 392 yellow poms on the float, how many red poms are there? a. 549 b.390 c. 280 d. 56
Dudley is biking. He wants to cover 40 miles. If he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours?
Answer:
y=-15x+40
Step-by-step explanation:
30 in 2 hours
-15 per 1 hour=15-40
takes away 15 each hour until he covers 40 miles
How do you use the distributive property to solve 24 + 36 using a(b+c) form
The sum of three numbers is 87. The third number is 2 times the second. The first number is 7 more that the second. What are the numbers?
A fruit basket contains oranges and grapefruits. One-third of the oranges and one-fourth of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket?
Please help!
Jumps has $55 in her savings account. This is $21 more than David. Write and solve an equation to find the amount David has in his savings account.
Final answer:
David has $34 in his savings account. This was found by setting up an equation where the amount Jumps has is $21 more than David's amount and then solving for David's savings.
Explanation:
The task is to find out the amount of money David has in his savings account. Let's denote the amount David has as D. According to the information provided, Jumps has $21 more than David, and she has a total of $55 in her savings account. We can set up an equation to model this situation:
D + $21 = $55
To solve for D, we need to subtract $21 from both sides of the equation:
D + $21 - $21 = $55 - $21
D = $34
Therefore, David has $34 in his savings account.
David has $34 in his savings account, which we found by setting up and solving the equation 55 = X + 21, where X represents David's savings.
Explanation:To find the amount David has in his savings account, we need to set up an equation based on the information provided:
Jumps has $55 in her savings account, which is $21 more than David has. Let's define the amount David has as X. According to the problem, we can write the equation as:
55 = X + 21
To solve for X, we subtract 21 from both sides of the equation:
55 - 21 = X
Which simplifies to:
34 = X
Therefore, David has $34 in his savings account.
PLZ HELP NOWWWWWW!!!!!!(02.01)Line segment EF has a length of 5 units. It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'. What is the length of E'F'?
5 units
6 units
10 units
25 units
Answer: 5 units.
Step-by-step explanation:
Given : Line segment EF has a length of 5 units. (1)
It is translated 5 units to the right on a coordinate plane to obtain line segment E'F'.
We know that a translation is a rigid transformation that produces images by moving it by some distance in a particular direction . It preserves the shape and the side-length of the figure.
Thus, The length of E'F'=EF [∵E'F' is the image produced after translation of EF]
⇒ Length of E'F'= 5 units. [From (1)]
Find (7 × 10^5) + (2 × 10^3).
A) 7.002 × 10^3
B) 7.002 × 10^5
C) 7.02 × 10^3
D) 7.02 × 10^5
To solve (7 × 10^5) + (2 × 10^3), you add the numbers in expanded form (700,000 + 2,000 = 702,000) and then convert to scientific notation (7.02 × 10^5). The correct answer is 7.02 × 10^5.
Explanation:To find the sum of (7 × 10^5) and (2 × 10^3), you first write out these numbers in their expanded form:
7 × 10^5 = 700,0002 × 10^3 = 2,000Adding the two numbers:
700,000 + 2,000 = 702,000
Now, we need to convert 702,000 back into proper scientific notation. To do this:
Find the first non-zero digit from the left, which is 7.Write it down, followed by a decimal point and the rest of the significant figures, which results in 7.02.Count the number of places the decimal point was moved to the left, which is 5. This is the exponent of 10 needed.Therefore, 702,000 is 7.02 × 10^5 in scientific notation, which makes the correct answer:
(7 × 10^5) + (2 × 10^3) = 7.02 × 10^5,
so the correct choice is D) 7.02 × 10^5.
What is the multiplier for 3/10=15/50
The multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The fraction is 3/10
And the fraction of 3/10 is equivalent to the 15/50
3/10 = 15/50
On the left side multiply by 5 on the numerator and denominator.
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division.
= (3/10)(5/5)
= 15/50
Thus, the multiplier for 3/10 = 15/50 is 5 after multiplying by 5 on the numerator and denominator.
Learn more about the fraction here:
brainly.com/question/1301963
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What integer represents a gain of 8 yd
Susie is making fruit baskets for her school fundraiser she has 28 bananas and 21 apples what are the most food baskets that you can make so that there are equal numbers of bananas in equal number of apples in each fruit basket how many bananas and apples will be in each fruit basket
Kyle wants to find the equation of the line that passes through the points (1, –7) and (–1, 1) . Which set of calculations will help Kyle find the equation of the line?
Find the unknown side length for the triangle.
Area = 18 ft²
A. 1.5 ft
B. 3 ft
C. 6 ft
D. 9 ft