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2 years ago

Two lines intersect creating angles with the measures shown below.

Mathematics

1 answer:

Basile [38]2 years ago

7 0

Answer:

The angles are called Vertical Angles. And vertical angles are always equal. So,

2x + 6 = 32

2x = 26

x = 13

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Which property is represented by the following equation? 2 + (3 + 4) = (2 + 3) + 4

Marysya12 [62]

Answer:

associative prop

Step-by-step explanation:

7 0

3 years ago

A new mixture of self-tanning & moisturizing lotions for everyday use is being developed. This mixture is made by mixing 70

777dan777 [17]

Answer:

450 ounces

Step-by-step explanation:

We know that the cost of the mixture $C_m$ must be the cost of the everyday moisturizing lotion $C_e$ plus the cost of the self-tanning lotion $C_s$ , which means $C_m=C_e+C_s$ .

The cost of any substance will be the cost per ounce of the substance (c), multiplied by the number of ounces (n), which means C=nc, so we have from the previous formula that we have:

$n_m c_m=n_e c_e + n_s c_s$

But we also know that the number of ounces of the mixture must be the sum of the number of ounces of the everyday moisturizing lotion with the number of ounces of the self-tanning lotion, so we have

$n_e c_e + n_s c_s=n_m c_m=(n_e+n_s) c_m=n_e c_m+n_s c_m$

We want to calculate the number of ounces of the self-tanning lotion ( $n_s$ ), so we solve for that variable:

$n_e c_e + n_s c_s=n_e c_m+n_s c_m$

$n_s c_s-n_s c_m=n_e c_m-n_e c_e$

$n_s (c_s-c_m)=n_e(c_m-c_e)$

$n_s=\frac{n_e (c_m-c_e)}{(c_s-c_m)}$

And substitute our values in this formula, to get:

$n_s=\frac{(700\ ounces) (\$1.6-\$0.7)}{(\$3-\$1.6)}=450\ ounces$

7 0

3 years ago

Find the side in of point a to point c

vladimir1956 [14]

Step 1:

Calculate the measure of angle ∠ABC

$\angle DBC+\angle ABC=180(\text{ sum of angles on a straight line)}$ $\angle ABC=65^0$ $\begin{gathered} \angle DBC+\angle ABC=180 \\ \angle DBC+65^0=180^0 \\ \angle DBC=180^0-65^0 \\ \angle DBC=115^0 \end{gathered}$

From the triangle in the question,

$a=10\operatorname{km},c=15\operatorname{km},B=115^0$

Step 2:

Calculate the value of AB using the cosine rule below

$b^2=a^2+c^2-2\times a\times c\times\cos B$

By substituting the values, we will have

$\begin{gathered} b^2=a^2+c^2-2\times a\times c\times\cos B \\ b^2=10^2+15^2-2\times10\times15\times\cos 115^0 \\ b^2=100+225-300\times(-0.4226) \\ b^2=325+126.78 \\ b^2=451.78 \\ \text{Square root both sides} \\ \sqrt[]{b^2}=\sqrt[]{451.78} \\ b=21.26\operatorname{km} \end{gathered}$

Hence,

The distance of point A to point C is = 21.26km

3 0

6 months ago

10 + (2^2 + 3^2) x 2<br><br><br> PEMDAS

yarga [219]

The answer would be 36.

Following PEMDAS, you'd solve what's in the parenthesis first. 2^2 = 4 and 3^2 = 9. This leaves you with 10 + (4 + 9) x 2. Add 9 and 4 to get 13, and then the parenthesis are done.

Next, you'd multiple 13 and 2 (since it's the next step in PEMDAS) to get 26.

Finally, you add together 10 and 26 to get the answer, which is 36.

I hope this helps!

3 0

2 years ago

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Jejehbehrjrurhrhrhrurijrbebehejisishebebeheueuriurgrbrbrbrjirhrbbevrgrhrhr

ivanzaharov [21]

Answer:Really dude

Step-by-step explanation:just really

4 0

3 years ago

Read 2 more answers