Answer:
answer is 57.
Step-by-step explanation:
Given
m<6= x - 8
m<7 = 2x - 7
We know
<6 + <7 = 180° [ being linear pair ]
x - 8 + 2x - 7 = 180°
3x - 15 = 180°
3x = 180° + 15°
3x = 195°
x = 195° / 3
x = 65°
Now
m<6= x - 8 = 65° - 8° = 57°
hope it helps :)
Answer:
The hypotenuse is 5
Step-by-step explanation:
We can use the Pythagorean theorem to find the hypotenuse of a right triangle
a^2 +b^2 =c^2 where a and b are the legs and c is the hypotenuse
3^2 +4^2 =c^2
9+16=c^2
25=c^2
Take the square root of each side
sqrt(25) =sqrt(c^2)
5 = c
Answer:
1.2°F
Step-by-step explanation:
Given that:
The drop in temperature in degree Fahrenheit over a period of 14 days = 16.8
The average daily rate of change in degwrr Fahrenheit ;
Total drop in temperature / number of days
= 16.8°F / 14
= 1.2°F
Hence, the average daily drop in temperature is 1.2°F
Answer:
The amount of white paint Jen used to paint the walls in her room is:
Step-by-step explanation:
To solve the exercise you only have to pay attention to the statement, in the section that says that 4/5 parts of the total painting is blue, therefore, if 1 is the total painting, you must do a subtraction:
Since the remaining white paint is 1/5 of the total, you have two ways to solve the exercise: multiply the total paint (8.2 pints) by 1/5 or divide the number by 5, as shown below:
- <u>Amount of white paint = 8.2 pints * (1/5) = 1.64 pints.
</u>
- <u>Amount of white paint = 8.2 pints / 5 = 1.64 pints.
</u>
As you can see, the two methods provide a <u>value of 1.64 pints, which corresponds to 1/5 of the total paint and is the amount of white paint used</u>.
x + 6y = 12
You want the y-value to be on one side of the equation, so you have to subtract the x-value from both sides.
6y = -x + 12
Next, you divide both sides by 6, so that the y-value will be by itself.
y = - 
+ 2
We know that the slope or the 'm' value is located before the x-value based on y = mx +b, therefore the slope is -
