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3 years ago

How many 12-digit decimal sequences are there that start and end with a sequence of at least two 3s?

1 answer:

6 0

Four positions of such a sequence are given to be 3s, and we have 10 choices for the remaining eight positions. So the number of such sequences is

$1^4\cdot10^8=10^8=100,000,000$

or 100 million.

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A number minus 9 is twelve

TiliK225 [7]

Answer:

The answer is 21

Step-by-step explanation:

All you have to do is 9+12

Brainliest??

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3 years ago

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Do most students walk, bike, or bus to school?

bonufazy [111]

Answer:

Most students ride the bus since the pie chart section is biggest at the bus section.

23 people walking / 100 people is 23% and 23% of 100 is 23 people.

Step-by-step explanation:

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3 years ago

In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1

svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements: Reasons:

$1)\, XY=XZ$ Given

$2) \text{ $ m\angle Y= m\angle Z$}$ Isosceles Triangle Theorem

$\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}$ Angle Addition

$\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}$ Given

$5) \text{ $m\angle XYQ=m\angle QYZ$}$ Definition of Bisector

$\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}$ Substitution

$7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}$ Angle Addition

$8)\text{ $ZP$ bisects $\angle XZY$}$ Given

$\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }$ Definition of Bisector

$\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}$ Substitution

$11)\text{ } 2m\angle QYZ=2m\angle PZY$ Substitution

$12)\text{ }m\angle QYZ=m\angle PZY$ Division Property of Equality

$13)\text{ } YZ=YZ$ Reflexive Property

$14)\text{ } \Delta YZP\cong\Delta ZYQ$ Angle-Side-Angle Congruence*

$15)\text{ } YQ=ZP$ CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

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3 years ago

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These two polygons are similar.

Jet001 [13]

Answer:

$\huge\boxed{z=3}$

Step-by-step explanation:

If two polygons are similar, then corresponding sides are in proportion.

The corresponding sides:

4 → x

y → 15

3 → w

2 → 6

z → 9

therefore:

$\dfrac{z}{9}=\dfrac{2}{6}$ <em>cross multiply</em>

$(z)(6)=(9)(2)$

$6z=18$ <em>divide both sides by 6</em>

$z=3$

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3 years ago

A seller buys an item from a manufacturer for $9,500. He increases the cost by 5 percent. What is the markup value?

Lynna [10]

5% of 9,500 is 475 so you would add them together. 9,500 + 475 = 9,975 so 9,975 is the answer

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3 years ago

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