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3 years ago

Can you help me on this one

Mathematics

1 answer:

Annette [7]3 years ago

3 0

Answer: B. Line AC is congruent to line BD

Step-by-step explanation:

The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.

Since they both share Leg DC, their hypotenuse should be congruent to use this proof.

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Sandra needs to make 500 L hand sanitizer with 75% alcoholic solution. He has only two of the alcoholic solutions available, a 6

shtirl [24]

If Sandra mixes x L of 65% solution with y L of 90% solution, then the resulting mixture has a total volume of

x + y = 500

litres, and it contains

0.65x + 0.90y = 0.75 (500) = 375

litres of alcohol.

Solve the first equation for y :

y = 500 - x

Substitute this into the second equation and solve for x :

0.65x + 0.90 (500 - x) = 375

0.65x + 450 - 0.90x = 375

75 = 0.25x

x = 300

Solve for y :

y = 500 - 300

y = 200

So, Sandra should mix 300 L of 65% solution with 200 L of 90% solution.

8 0

3 years ago

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

Alika [10]

Complete Question

A hypothetical population consists of eight individuals ages 13 14 17 20 21 22 24 30 years.

A: what is the probability that a person in this population is a teenager?

B: what is the probability of selecting a participant who is at least 20 years old?

We have that probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

P(T)=0.38
P(T')=0.63

Generally the equation for the probability that a person in this population is a teenager is mathematically given as

$P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}$

P(T)=0.38

Generally the equation for the probability of selecting a participant who is at least 20 years old is mathematically given as

$P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}$

P(T')=0.63

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

6 0

2 years ago

Please answer correctly !!!!!!!!! Will Mark brainliest !!!!!!!!!!!!!

il63 [147K]

Answer:

$x=-\frac{-20+\sqrt{-20w+3600}}{10},\:x=-\frac{-20-\sqrt{-20w+3600}}{10}$

Step-by-step explanation:

$w=-5\left(x-8\right)\left(x+4\right)\\\mathrm{Expand\:}-5\left(x-8\right)\left(x+4\right):\quad -5x^2+20x+160\\w=-5x^2+20x+160\\Switch\:sides\\-5x^2+20x+160=w\\\mathrm{Subtract\:}w\mathrm{\:from\:both\:sides}\\-5x^2+20x+160-w=w-w\\Simplify\\-5x^2+20x+160-w=0\\Solve\:with\:the\:quadratic\:formula\\\mathrm{Quadratic\:Equation\:Formula:}\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=-5,\:b=20,\:c=160-w:\quad x_{1,\:2}=\frac{-20\pm \sqrt{20^2-4\left(-5\right)\left(160-w\right)}}{2\left(-5\right)}\\x=\frac{-20+\sqrt{20^2-4\left(-5\right)\left(160-w\right)}}{2\left(-5\right)}:\quad -\frac{-20+\sqrt{-20w+3600}}{10}\\x=\frac{-20-\sqrt{20^2-4\left(-5\right)\left(160-w\right)}}{2\left(-5\right)}:\quad -\frac{-20-\sqrt{-20w+3600}}{10}\\The\:solutions\:to\:the\:quadratic\:equation\:are\\x=-\frac{-20+\sqrt{-20w+3600}}{10},\:x=-\frac{-20-\sqrt{-20w+3600}}{10}$

6 0

3 years ago

KMZ~ KDH; find z. F 21 D 6x + 3 E 17 G 8x-1 C

Drupady [299]

Answer:

x=8

Step-by-step explanation:

Triangle DCE is similar to EGF

CE/EF=DE/EG

Substitute

(8x-1)/21=(6x+3)/17

Cross multiply

(8x−1)*(17)=(6x+3)*(21)

136x−17=126x+63

Subtract 126x from both sides

10x−17=63

Add 17 to both sides.

10x−17+17=63+17

10x=80

Divide both sides by 10.

x=8

6 0

3 years ago

How do you write 300,000,000+40,000,000+7,000,000+300,000+10,000+6,000+20+9 in standard form

kodGreya [7K]

it is 34,731,629 gust put the numbers to gater

5 0

3 years ago