$h-number\ of\ the\ full\ hours\\\\7.25h\geq125\ \ \ \ \ |divide\ both\ sides\ by\ 7.25\\\\h\geq\frac{125}{7.25}\\\\h\geq\frac{12500}{725}\\\\h\geq\frac{500}{29}\\\\h\geq17\frac{7}{29}\\\\Answer:You\ must\ work\ at\ least\ 18\ hours.$

7 0

3 years ago

Read 2 more answers

If each quadrilateral below is a parallelogram,find the missing measures.

zhenek [66]

Answer:

Part 1) $MN=31\ units$

Part 2) $KN=45\ units$

Part 3) m∠K=61°

Part 4) m∠L=119°

Part 5) m∠M=61°

Step-by-step explanation:

we know that

In a parallelogram opposite angles and opposite sides are congruent and consecutive angles are supplementary

Part 1) Find the side MN

we know that

MN≅KL ----> by opposite sides

we have

$KL=31\ units$

therefore

$MN=31\ units$

Part 2) Find the side KN

we know that

KN≅LM ----> by opposite sides

we have

$LM=45\ units$

therefore

$KN=45\ units$

Part 3) Find the measure of angle K

we know that

m∠K+m∠N=180° ----> by consecutive interior angles

we have

m∠N=119°

substitute

m∠K+119°=180°

m∠K=180°-119°

m∠K=61°

Part 4) Find the measure of angle L

we know that

m∠L≅m∠N ----> by opposite angles

we have

m∠N=119°

therefore

m∠L=119°

Part 5) Find the measure of angle M

we know that

m∠M≅m∠K ----> by opposite angles

we have

m∠K=61°

therefore

m∠M=61°

7 0

3 years ago

The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√

uysha [10]

$a^{2} +b^{2} =c^{2}$

As we have to solve for b, it means we have to isolate b

So first of all subtract $a^{2}$ from both sides

So we get

$b^{2} =c^{2} -a^{2}$

Now we need b , but its b^2 , so we can take square root on both sides.

taking square roots on both sides

$b= +- \sqrt{c^2 -a^2}$

Hence option B is correct

4 0

3 years ago

4 less than the product of 8 and a number is equal to 6​

4 less than the product of 8 and a number is equal to 6