Penny says there are 4 ways to make 26. Is she correct? Using only 10's & 1's

Mathematics

2 answers:

Murrr4er [49]3 years ago

7 0

Yes she is!! i hope this helps you out

Vlada [557]3 years ago

3 0

Yes she is correct! hope this helps

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If a || b, m<2=63°, and m<9=105°, find the measure of missing angle m<1=?

worty [1.4K]

Given:

a.) ∠9 = 105°

b.) ∠2 = 63°

Step 1: Determine the measure of ∠10.

∠9 and ∠10 are Supplementary Angles. This means that the sum of the two angles is equal to 180°.

From this, we generate the following equation:

$\text{ }\angle9\text{ + }\angle10=180^{\circ}$

Let's then now proceed to find out the measure of ∠10.

$\text{ }\angle9\text{ + }\angle10=180^{\circ}$ $\text{ }105^{\circ}\text{ + }\angle10=180^{\circ}$ $\angle10=180^{\circ}\text{ - }105^{\circ}$ $\angle10=75^{\circ}$

Step 2: Determine the measure of ∠3.

∠10 and ∠3 are Alternate Exterior Angles. Under this, the two angles must be congruent.

$\text{ }\angle3\text{ = }\angle10$

Therefore,

$\text{ }\angle3\text{ = }\angle10$ $\text{ }\angle3=75^{\circ}$

Step 3: Determine the measure of ∠1.

∠1, ∠2 and ∠3 are also Supplementary Angles. This means that the sum of the three angles is equal to 180°.

Thus, we generate the equation below:

$\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}$

Let's now find the measure of ∠1,

$\text{ }\angle1\text{ + }\angle2\text{ + }\angle3=180^{\circ}$ $\text{ }\angle1\text{ + }63^{\circ}\text{ + }75^{\circ}=180^{\circ}$ $\text{ }\angle1\text{ + }138^{\circ}=180^{\circ}$ $\text{ }\angle1\text{ }=180^{\circ}\text{ - }138^{\circ}$ $\text{ }\angle1\text{ }=42^{\circ}$

Therefore, the measure of ∠1 is 42°.

8 0

11 months ago

If 16 to the power of x = 1/64. what is the value of x?

Daniel [21]

Answer:

-3\2

Step-by-step explanation:

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