All categories

3 years ago

The angles of two pentagons are all equal to 108°. The length of one side of each pentagon measures 11 cm.

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

There is not enough information to determine whether the pentagons are congruent.

You might be interested in

Does anyone know how to do this. that can please show me the work ?? <br> -view attachment

suter [353]

SOH CAH TOA
Sine=opposite leg/hypotenuse
Cosine=adjacent leg/hypotenuse
Tangent=opposite leg/adjacent leg
SOH CAH TOA
So d is the correct answer

6 0

3 years ago

1) (x - 2)/(x - 3) + (3x - 11)/(x - 4) = (4x + 13)/(x + 1)

mote1985 [20]

Step-by-step explanation:

or,(x-2)(x-4)+(3x-11)(x-3)/(x-3)(x-4)=(4x+13)/(x+1)

or,x^2-4x-2x+8+3x^2-9x-11x+33/x^2-4x-3x+12=(4x+13)/(x+1)

or,4x^2-4x-2x-9x-11x+8+33/x^2-7x+12=(4x+13)/(x+1)

or,4x^2-26x+41/x^2-7x+12=(4x+13)/(x+1)

or, (x+1)(4x^2-26x+41)=(4x+13)(x^2-7x+12)

or,4x^3-26x^2+41x+4x^2-26x+41=4x^3-28x^2+48x+13x^2-91x+156

or,-26x^2+4x^2+28x^2-13x^2+41x-26x-48x+91x=156-41

or,-7x^2+58x=115

or,-7x^2+58x-115=0

or,-(7x^2-58x+115)=0

or,7x^2-58x+115=0

or,7x^2-(35+23)x+115=0

or,7x^2-35x-23x+115=0

or,7x (x-5)-23 (x-5)=0

or, (x-5)(7x-23)=0

Either, Or,

(x-5)=0 (7x-23)=0

or,x=0+5 or,7x=23

:x=5 :x=23/7

Hence,x=5 or 23/7

7 0

2 years ago

El jardinero de un parque planta flores siguiendo cierto patrón. En la primera fila planta 4 flores, en la segunda 7 y así suces

nevsk [136]

Answer:

a) Para $i = 4$ , hay 13 flores en la fila 4.

b) Para $i = 7$ , hay 22 flores en la fila 7.

c) La fila 11 tiene 34 flores.

Step-by-step explanation:

De acuerdo con el enunciado, cada fila tiene tres flores más que la fila inmediatamente anterior, significando que se puede determinar el número de flores de cada fila mediante una serie aritmética:

$n = 4+3\cdot (i-1)$ , $i \ge 1$ (1)

Donde:

$i$ - Índice de la fila de flores.

$n$ - Número de flores del índice de la fila de flores.

a) Para $i = 4$ , hay 13 flores en la fila 4.

b) Para $i = 7$ , hay 22 flores en la fila 7.

c) Si $n = 34$ , entonces el índice de la fila es:

$i=1+\frac{n-4}{3}$

$i = 11$

La fila 11 tiene 34 flores.

6 0

2 years ago

1131 divided by 29 \

Goshia [24]

Answer:39

Hope it helps :)

8 0

2 years ago

Read 2 more answers

Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.

alisha [4.7K]

Answer:

(a) 1, 2, 3, 6, 8

Step-by-step explanation:

Given

$Median = 3$

$Mean = 4$

Required

The sequence of hours worked each day

<em>See attachment for options</em>

From the question, we understand that:

$Median = 3$

This means that, the middle number is 3 (when sorted)

So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively

Next, is to determine the mean of (a) and (d)

The mean of a data is calculated as:

$\bar x = \frac{\sum x}{n}$

So, we have:

(a)

$\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}$

$\bar x = \frac{20}{5}$

$\bar x = 4$

(d)

$\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}$

$\bar x = \frac{15}{5}$

$\bar x = 3$

Option (a) is true, because it has:

$Median = 3$

$Mean = 4$

7 0

2 years ago