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3 years ago

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The larger of two numbers is 11 more than twice the smaller number. The sum of the numbers is 1 less than seven times the smalle

r number. Find the numbers. please put an explanation I need this fast

1 answer:

andrew11 [14]3 years ago

8 0

Answer:

The larger number is 17 and smaller number is 3.

Step-by-step explanation:

Mark me BRAINEST.

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Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC . What is the leng

Thepotemich [5.8K]

Answer:

Length of side of rhombus is $x=\frac{ab}{a+b}$

Step-by-step explanation:

Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.

It is also given that AB=a and AC=b

Let side of rhombus is x.

In ΔCEF and ΔCBA

∠CEF=∠CBA (∵Corresponding angles)

∠CFE=∠CAB (∵Corresponding angles)

By AA similarity rule, ΔCEF~ΔCBA

∴ their sides are in proportion

$\frac{EF}{AB}=\frac{CF}{AC}$

⇒ $\frac{x}{a}=\frac{b-x}{b}$

⇒ $xb=ab-ax$

⇒ $x(a+b)=ab$

⇒ $x=\frac{ab}{a+b}$

Hence, length of side of rhombus is $x=\frac{ab}{a+b}$

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3 years ago

Find each quotient. Check your work using multiplication.

Blizzard [7]

Answer:

13. $15y^{4} + y^{3} +5y^{2} - 17y + 1$

14. $x^{4} + 6x^{3} - 15x^{2} + 20x - 15$

15. $-a^{4} + 12a^{3} + 18a^{2} + 0a + 20$

Step-by-step explanation:

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3 years ago

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There are 5 black marbles, 17 blue marbles, 10 brown marbles, and 12 white marbles. What is the ratio of white marbles to all th

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Answer:

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Step-by-step explanation:

u would add all the marbles up and then put the white marble amount in front of a colon and then put the total marbles

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Step-by-step explanation:

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4 years ago

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How many 6 digit different locker combinations are possible if no repeat numbers are allowed?

Alex_Xolod [135]

Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.

The formula for combinations is:

$_n C _k = \dfrac{n!}{k! (n - k)!}$

$n$ is the total number of elements in the set
$k$ is the number of those elements you are desiring

Since there are 10 total digits, $n = 10$ in this scenario. Since we are choosing 6 digits of the 10 for our sequence, $k = 6$ in this scenario. Thus, we are trying to find $_{10} C _6$ . This can be found as shown:

$_{10} C _6 = \dfrac{10!}{6! \cdot 4!} = \dfrac{10 \cdot 9 \cdot 8 \cdot 7}{4!} = \dfrac{5040}{24} = 210$

There are 210 total combinations.

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3 years ago