If angle PQR equal 15 degrees in the triangle PQR, what is the value of u?

Mathematics

1 answer:

Anvisha [2.4K]2 years ago

7 0

Answer:

Step-by-step explanation:

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Find q<br> (7q-46)<br> (3q+6)

kap26 [50]

Answer:

$q = 22$

Step-by-step explanation:

The angle measure of a straight line is (180) degrees As given in the picture, line (AC) is a straight line, thus its angle measure is (180) degrees. Angles (ABD) and (DBC) make up line (AC). Therefore, one can conclude that the sum of angles (ABD) and (DBC) is (180) degrees. Form an equation, simplify and use inverse operations to solve for the unknown parameter (q).

$($

Substitute for the angle measures,

$(7q-46)+(3q+6)=180$

Simplify,

$10q-40=180$

Inverse operations,

$10q-40=180\\\\10q = 220\\\\q = 22$

8 0

3 years ago

Read 2 more answers

how many liters of glycerin should be added to 12 Liters of an 8% glycerin solution so that the resulting solution contains 16%

mojhsa [17]

Answer:

1.14 liters

Step-by-step explanation:

We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].

When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??

Note, 16% = 0.16

We can write a Ratio as shown below, cross multiply and solve for x:

$\frac{0.96+x}{12+x}=0.16\\(12+x)(0.16)=0.96+x\\1.92+0.16x=0.96+x\\1.92-0.96=x-0.16x\\0.96=0.84x\\x=1.14$