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3 years ago

Why do we use the quadratic formula as opposed to trying to solve using factoring

1 answer:

8 0

Sometimes there is no apparent way to factor it by hand /(the factors are decimals or imaginary). To try and factor these problems is nearly impossible in your head.

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In the figure below an you can see the pic plis help

Anni [7]

The measure of angle 1 and 2 should add up to 180°, because it forms a straight line. The same goes for the sum of angle 3 and 4.

Since we are given the measure of angle 2, we can find the measure of angle 1 by subtracting 143° from 180°.

180°-143° = 37°

We know that the intersecting lines form 2 sets of vertical angles, which are congruent. This means that the angles opposite from each other have the same measure. Therefore, both angle 2 & 4 have a measure of 143°, while angle 1 & 3 have a measure of 37°.

4 0

3 years ago

An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos

Alex_Xolod [135]

BE is congruent to overline CF since they are altitudes of the same trapezoid(S). AB is congruent to overline CD (Given) AE is congruent to overline FD by the Hypotenuse Leg Theorem. triangle ABC is congruent to triangle DCF (SSS Triangle Congruence) angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.

5 0

2 years ago

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ,2. 25. Point Q is the center of dilation. Line

abruzzese [7]

The distance between points S' and S is x= 2.5 units.

<h2>Given that</h2>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ 2. 25.

Point Q is the center of dilation.

Line segment ST is dilated to create line segment S prime T prime.

The length of QT is 1. 2 and the length of QS is 2.

The length of SS prime is x and the length of TT prime is 1. 5.

<h3>We have to determine</h3>

What is x, the distance between points S' and S?

<h3>According to the question</h3>

Line segment ST is dilated to create line segment S'T' using the dilation rule DQ, 2.25.

Also, SQ = 2 units, TQ = 1.2 units, TT'=1.5, SS' = x.

Since the line ST is dilated to S'T' with the center of dilation Q, the triangles STQ and S'T'Q must be similar.

We know that the corresponding sides of two similar triangles are proportional.

So, from ΔSTQ and ΔS'T'Q.

$\dfrac{SQ}{S'Q} = \dfrac{TQ}{T'Q}\\
\\
\dfrac{SQ}{SQ+SS} = \dfrac{TQ}{TQ+TT'}\\
\\ 
\dfrac{2}{2+x} = \dfrac{1.2}{1.2+1.5}\\\rm 
\\
\dfrac{2}{2+x} = \dfrac{1.2}{2.7}\\\\ \dfrac{2}{2+x} = \dfrac{12}{27}\\\\2(27) = (2+x) 12\\\\ 54 = 24 + 12x\\
\\
12x = 54-24\\
\\
12x=30\\
\\
x = \dfrac{30}{12}\\
\\
x = 2.5$

Hence, the distance between points S' and S is x= 2.5 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/16016926

5 0

2 years ago

Pls help with my homework I need help

shusha [124]

Answer:

tan G = 1.6071

Step-by-step explanation:

tan G = 45/28

tan G = 1.6071

6 0

2 years ago

What type of probability uses a knowledge of sample spaces as opposed to observations to determine the numerical probability of

Aneli [31]

Answer:

Classical probability

Step-by-step explanation:

Classical property is that type of probability or statistical concept that deals with the measurement of the odds or likelihood of some event.

It is that form of probability that is simplest in approach and includes the equal likelihood of happening or occurrence of an event.

In order to determine the numerical probability of an event, it makes use of the knowledge of sample spaces in contrast with the observations.
It takes a proper note of an event in order to calculate its probability and also it deals with the likelihood of a certain event rather than making observations.

5 0

3 years ago

Read 2 more answers