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postnew [5]
3 years ago
13

Please help with these! I am so confused​

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Answer:

81°

Step-by-step explanation:

180°=37°+62°+x°

180-37=143

143-62=81

x=81

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The length of triangle base is 26. A line, which is parallel to the base divides the triangle into two equal area parts. Find th
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Answer:

Step-by-step explanation:

It is given that the length of triangle base is 26, then let ABC  be the triangle and BC be the base of the triangle=26.Let DE be the parallel line to the base that divides triangle ABC into two equal area parts.

Now, Let AD=a, DB=b, DE=c, AE=d and EC=e, then

Since,  triangle ABC is similar to triangle ADE, thus using basic proportions, we get

\frac{AD}{AB}=\frac{DE}{BC}=\frac{AE}{AC}

\frac{AD}{AD+DB}=\frac{DE}{BC}=\frac{AE}{AE+EC}

\frac{a}{a+b}=\frac{c}{26}=\frac{d}{d+e}

Taking the first two equalities,we get

\frac{a}{a+b}=\frac{c}{26}

c=\frac{26a}{a+b}

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7 0
4 years ago
How much pure acid is in 440 milliliters of a 19% solution
ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

Given 440 mL of 19% acid solution. This means the whole volume of this acid solution is 100%. Let x mL be the volume of pure acid in this solution.

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Write a proportion:

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Cross multiply:

100\cdot x=440\cdot 19\\ \\x=\dfrac{440\cdot 19}{100}\\ \\x=\dfrac{8,360}{100}\\ \\x=83.60\ mL

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