All categories

2 years ago

What is the measure of each base angle of a 140 degree

Mathematics

1 answer:

trasher [3.6K]2 years ago

3 0

Answer:

The two possible cases are

(i) the base angles are each 40° and the vertex angle is 100°,

(ii) the base angles are each 70° and the vertex angle is 40°.

Step-by-step explanation:

You might be interested in

A 4-ft vertical post casts a 12-in shadow at the same time a nearby cell phone tower casts a 122-ft shadow. How tall is the c

zepelin [54]

Answer:

the cell phone tower is 488 ft

Step-by-step explanation:

change 12 in = 1ft

4ft x ft

------------------- = ----------------

1ft shadow 122 ft shadow

using cross products

4 * 122 = 1 * x

488 = x

3 0

2 years ago

3(1 – 2x) > 3 – 6х help

coldgirl [10]

Answer:

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>

inequality
distribution
PEMDAS

<h3>given:</h3>

$3(1 - 2x) > 3 - 6x$

<h3>to solve:</h3>

<h3>let's solve:</h3>

$step - 1 : define\\ 3(1 - 2x) > 3 - 6x$

$step - 2: distribute\\ 3 - 6x > 3 - 6x$

$step - 3 : \\ add \: 6x \: to \: both \: sides$

$3 - 6x + 6x> 3 - 6x + 6x$

$3 > 3$

$\therefore \: the \: statement \: is \: false \: for \: any \: value \: of \: x \: because \: both \: sides \: are \: identical$

therefore,

$x \in ∅$

4 0

2 years ago

Sistema de ecuaciones.5x+2y=-152x-2y=-6

Zolol [24]

Tnemos el sisema de ecuaciones:

$\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}$

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

$\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}$

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

$\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}$

Respuesta: x=-3, y=0

7 0

1 year ago

Use the graph to answer the question what is the average rate from change from x=3 to x=11

expeople1 [14]

Answer:

-1/8

Step-by-step explanation:

7 0

3 years ago

Calculate the sample standard deviation of data from Question 1<br> 76,45,64,80,92

mash [69]

Answer:

$S.D = 15.98$

Step-by-step explanation:

Given: 76,45,64,80,92

Required: Determine the standard deviation

We start by calculating the mean

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

Where x-> 76,45,64,80,92 and n = 5

$Mean = \frac {76+45+64+80+92}{5}$

$Mean = \frac{357}{5}$

$Mean = 71.4$

Subtract Mean (71.4) from each of the given data

$76 - 71.4 = 4.6\\45 - 71.4 = -26.5\\64 - 71.4 = -7.4\\80 - 71.4 = 8.6\\92 - 71.4 = 20.6$

Determine the absolute value of the above result

$|4.6| = 4.6\\|-26.5| = 26.5\\|-7.4| = 7.4\\|8.6| = 8.6\\|20.6| = 20.6$

Square Individual Result

$4.6^2 = 21.16 \\26.5^2 = 702.25\\7.4^2 = 54.76\\8.6^2 = 73.96\\20.6^2 = 424.36$

Calculate the mean of the above result to give the variance

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

$Mean = \frac{21.16 + 702.25 + 54.76 + 73.96 + 424.36}{5}\\Mean = \frac{1276.49}{5}\\Mean = 255.298$

Hence, Variance = 255.298

Standard Deviation is calculated by $\sqrt{Var}$

$SD = \sqrt{255.298}$

$S.D = 15.9780474402$

$S.D = 15.98 (Approximated)$

6 0

3 years ago