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3 years ago

5

The artist will use small congruent square tiles to cover each region without any gaps or overlaps. Based on the information, wh

ich statement is true?

1 answer:

Advocard [28]3 years ago

8 0

Answer:

The number of tiles needed to cover Region Z is the same as the number of tiles needed to cover both Region X and Region Y.

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HELP if I don’t pass this class I won’t graduate

lara [203]

Answer:

Step-by-step explanation:

In ΔABC,

∠ABC + ∠BAC + ∠BCA = 180 {ANGLE SUM PROPERTY OF TRIANGLE}

41 + 102 + ∠BCA = 180

143 + ∠BCA = 180

∠BCA = 180 - 143

∠BCA = 37

∠CAE = ∠BCA {Alternate interior angles are equal}

x = 37°

4 0

3 years ago

in a survey 9 out of 10 doctors recommended a certain medicine if 80 doctors were surveyed how many doctors recommended the medi

ale4655 [162]

Answer:

72 doctors recommended the medicine

Step-by-step explanation:

The question above is interpreted thus.

9 out of 10 implies 9/10. If 80 doctors were surveyed, the number of doctors that recommended the medicine is 9/10 of 80 doctors. Therefore,

$\frac{9}{10} \: of \: 80$

$= \frac{9}{10} \times 80$

$= \frac{9 \times 80}{10}$

$= \frac{720}{10}$

$= 72$

Therefore, in a survey where 9 out of 10 doctors recommended a certain medicine; and 80 doctors were surveyed, 72 doctors recommended the medicine.

6 0

4 years ago

When Carla looked out at the school parking lot, she noticed that for every 2 vans, there were 5 trucks. If there

gtnhenbr [62]

Answer:

60 trucks

Step-by-step explanation:

2x12=24

5x12=60

60+24=84 total vehicles

60 of them are trucks.

7 0

3 years ago

The given matrix is the augmented matrix for a linear system. Use technology to perform the row operations needed to transform t

shtirl [24]

Answer:

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

Step-by-step explanation:

As the given Augmented matrix is

$\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 1 :

$r_{1}$ ↔ $r_{1} - r_{2}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right]$

Step 2 :

$r_{3}$ ↔ $r_{3} - 8r_{1}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right]$

Step 3 :

$r_{2}$ ↔ $\frac{r_{2}}{7}$

$\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right]$

Step 4 :

$r_{1}$ ↔ $r_{1} + 14r_{2}$ , $r_{3}$ ↔ $r_{3} - 124r_{2}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right]$

Step 5 :

$r_{3}$ ↔ $\frac{r_{3}. 7}{254}$

$\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right]$

Step 6 :

$r_{1}$ ↔ $r_{1} - 4r_{3}$ , $r_{2}$ ↔ $r_{2} + \frac{1}{7} r_{3}$

$\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right]$

∴ we get

$x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\$

6 0

3 years ago

In how many ways could four people be divided into two groups of one person and one group of two people?

Andreyy89

Answer:

There are 4 ways that you could rearrange people

6 0

4 years ago