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3 years ago

In the figure, if the measure of 21 = 112°, what's the measure of 212?

Mathematics

2 answers:

Vera_Pavlovna [14]3 years ago

5 0

Answer:

122

Step-by-step explanation:

Usimov [2.4K]3 years ago

3 0

48°

Alternate interior angles.

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A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

Your friend is incorrect.

6 0

2 years ago

Someone help me please I don't know how to do this ! :(

Ivanshal [37]

$4^{x+1}=21\\
x+1=\log_421\\
x=\log_421-1\\
x=\log_421-\log_44\\
x=\log_4\dfrac{21}{4}\\
x=\dfrac{\ln \dfrac{21}{4}}{\ln 4}\approx 1.1962$

5 0

3 years ago

The area of the triangle below is ? Sq. Units A. 66 B . 33 C . 50 D . 25

kykrilka [37]

Answer:

The answer is B.

Step-by-step explanation:

You have to apply the area of triangle formula :

$area = \frac{1}{2} \times base \times height$

$let \: base = 22 \\ let \: height = 3$

$area = \frac{1}{2} \times 22 \times 3$

$area = 11 \times 3$

$area = 33 \: {units}^{2}$

6 0

3 years ago

Read 2 more answers

A circular swimming pool is installed in a rectangular shaped backyard. An underwater light is placed as its center, 16 feet fro

Daniel [21]

What is the question?

8 0

3 years ago

Select all the expressions that are equivalent to 4(y+7) 4y+7 4y+28 3+1(y+7) 4y+4(7) 4+y+7 3(y+7)+(y+7) PLEASE GUYS I REALLY NEE

sasho [114]

Answer:

Step-by-step explanation:

4(y+7)=4(y)+4(7)

=4y+28

7 0

3 years ago