The quotient of a number and 6decreased by 10 is equal to 2??

In a music competition, a participant has to score a total of at least 40 points in the first four rounds combined to move on to

MAXImum [283]

4+3p≥40
He needs to have 40 or more to get to the finals so 4+3p has to be 40 or more

7 0

3 years ago

A bicycle tire has a diameter of 62 cm.

MrRa [10]

Answer:

1947.78 inches or 162.31 feet.

Step-by-step explanation:

the circumference of any given circle is its diameter times pi. So, if you multiply the diameter times pi and then the circumference by 10 you get the number of inches traveled, if you divide that by 12 you get the number of feet traveled.

5 0

3 years ago

Read 2 more answers

Which exponential equation is equivalent to the logarithmic equation below? c = ln 2

Sophie [7]

$\text{A logarithmic lemma: } \\ \text{It follows that: } \log_a a = 1$
$\text{Following this property, we can see that: } a^{\log_{a} a} = a$
$\text{Furthermore, we can create more general properties: } a^{\log_a b} = b$

$c = \log_e 2 \Rightarrow e^{c} = e^{\log_e 2} \\ \text{Using our third property, we see that: } e^{c} = 2$
$\text{And finally, this works for any } \log_{a} b \left\{a > 0, b \in \mathbb{R}\right\}$

6 0

3 years ago

2/3*x+3/4=8 what is x

matrenka [14]

Answer: x=10 7/8

Step-by-step explanation:

Subtract 3/4 from both sides. Multiply both sides by 3. Divide both sides by 2 (basically just isolate x on one side of the equal sign).

7 0

3 years ago

In the figure, and bisect each other. Complete the statements to prove that quadrilateral ABCD is a parallelogram.

Alisiya [41]

Observe the figure below.

Statement Reason

1. AC and BD bisect each other Given

2. AE = EC and BE = ED Definition of bisection

3. $m \angle AEB = m \angle CED$ Vertical angle theorem

Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".

4. $\Delta ABE \cong \Delta CDE$ SAS criterion for congruence

5. $m \angle ACD = m \angle CAB$ Corresponding angles of congruent triangles are congruent

6. $AB \parallel CD$ Converse of alternate interior angle theorem

7. $m \angle BEC = m \angle AED$ Vertical angle theorem

8. $\Delta BEC \cong \Delta DEA$ SAS criterion for congruence

9. $BC \parallel AD$ Converse of alternate interior angle theorem

As, $\Delta BEC \cong \Delta DEA$ , so $m \angle CBD = m \angle BDA$ as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".

5 0

3 years ago