Please help with finding the measure, pic attached

Mathematics

1 answer:

vekshin13 years ago

7 0

Answer:

B. 50°

Step-by-step explanation:

∠PLM+ ∠PML =60+70 =130°

So, ∠MPL = 180°-130°=50°

According to the opposite angle theorem,

∠ KPN = ∠MPL which is 50°

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Lisa has 3 quarts of milk. Sanjay has 12 pints of milk. Who has more?

Ira Lisetskai [31]

Sanjay, because quarts are twice as big as pints.

Step-by-step explanation:

Given

Milk quantity for Lisa = 3 quarts

Milk quantity for Sanjay = 12 pints

We have to convert both quantities in same unit so that we can compare both quantities.

We know that there are two pints in a quart.

So,

Lisa will have:

3*2 = 6 pints of milk

Hence,

Sanjay, because quarts are twice as big as pints.

Keywords: Units, measurement

Learn more about units at:

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4 0

2 years ago

In the diagram below, GH is parallel to DE . If GH is 3 more than EH FH=10, and DE=12 find the length of EH. Figures are not nec

steposvetlana [31]

Answer: 5

Step-by-step explanation:

Since $\overline{GH} \parallel \overline{DE}$ , by the corresponding angles theorem, $\angle FGH \cong \angle FDE, \angle FHG \cong \angle FED$ . This means $\triangle FGH \sim \triangle FDE$ by AA.

As corresponding sides of similar triangles are proportional,

$\frac{10}{x+3}=\frac{10+x}{12}\\(10)(12)=(10+x)(x+3)\\120=x^{2}+13x+30\\x^{2}+13x-90=0\\(x+18)(x-5)=0\\x=-18, 5$
However, as distance must be positive, we consider the positive solution, x=5.