Answer:
122*
122 degrees
Step-by-step explanation:
m∠GEF is 13 less than 5 times m∠DEG and m∠DEF = 149*
Solution:
As per given data,
m∠GEF = 5m∠DEG - 13* … (i)
m∠DEF = 149* -> m∠GEF + m∠DEG = 149* .. (ii)
Substituting value of m∠GEF in (ii)
We get,
(5m ∠DEG - 13*) + m∠DEG = 149*
6m ∠DEG - 13* = 149*
6m ∠DEG = 149* + 13* = 162*
m∠DEG = * = 27*
Substituting value of m∠DEG in (i)
We get,
m∠GEF = 5(27*) - 13*
m∠GEF = 135* - 13* = 122*
<h2>
Answer:</h2>
<h2>
Step-by-step explanation:</h2>
a. 2x^-3 • 4x^2
To solve this using only positive exponents, follow these steps:
i. Rewrite the expression in a clearer form
2x⁻³ . 4x²
ii. The position of the term with negative exponent is changed from denominator to numerator or numerator to denominator depending on its initial position. If it is at the numerator, it is moved to the denominator. If otherwise it is at the denominator, it is moved to the numerator. When this is done, the negative exponent is changed to positive.
In our case, the first term has a negative exponent and it is at the numerator. We therefore move it to the denominator and change the negative exponent to positive as follows;
iii. We then solve the result as follows;
=
Therefore, 2x⁻³ . 4x² =
b. 2x^4 • 4x^-3
i. Rewrite as follows;
2x⁴ . 4x⁻³
ii. The second term has a negative exponent, therefore swap its position and change the negative exponent to a positive one.
iii. Now solve by cancelling out common terms in the numerator and denominator. So we have;
Therefore, 2x⁴ . 4x⁻³ =
c. 2x^3y^-3 • 2x
i. Rewrite as follows;
2x³y⁻³ . 2x
ii. Change position of terms with negative exponents;
iii. Now solve;
Therefore, 2x³y⁻³ . 2x =
Formula for finding circumference of a circle is 2πr.
Step-by-step explanation:
- The given question says what is the circumference of a circle that is 9cm.
- As radius is required for finding circumference of a circle, the formula is 2πr.
- Therefore taking the formula and substituting radius (r)= 9 cm. We get 2πr as 2×π×9 = 18π cm OR
- If we substitute the value of π as 3.14 we will get⇒ 2×3.14×9= 56.52 cm.
- So the circumference of the given circle would be 18π or 56.52 cms.
Answer:
<em>Mechanic A worked for 5 hours</em> and <em>Mechanic B worked for 15 hours</em>
I hope my answer and explanation helped!
<u>okay to get started you need to make a system of equations:</u>
x= number of hours worked by mechanic A
y= number of hours worked by mechanic B
x + y= 20
95x + 60y= 1375
<u>substitute in an equation:</u>
x + y= 20
y= 20- x
95x + 60(20-x)=1375
<u>Solve for x</u>
95x + 1200 - 60x=1375
35x =175
x= 5
<u>plug in x to solve for y</u>
x + y= 20
5 + y= 20
y=15
<u>Check work</u>
then you're done :D
Answer:
1.203125
Step-by-step explanation:
