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2 years ago

Use ΔABC below to answer the question that follows:

Mathematics

2 answers:

Orlov [11]2 years ago

6 0

Two triangles can be similar by AAA,ASA ,SSS ,SAS property of similarity.

To prove triangles ABC similar to DBE we consider

Segments AC and DE are parallel.

AB is a transversal line passing AC and DE.

Angle B is congruent to itself due to the reflexive property.

The option which is not used to prove that ABC is similar to DBE is the first option :

The sum of angles A and B are supplementary to angle C.

Elza [17]2 years ago

4 0

Answer:

Step-by-step explanation:

To prove Δ ABC similar to ΔDBE we can consider

Segments AC and DE are parallel.

⇒ DE intersects AB and BC in same ratio.

AB is a transversal line passing AC and DE.

⇒∠BAC=∠BDE [corresponding angles]

Angle B is congruent to itself due to the reflexive property.

All of them are telling a relation of parts of ΔABC to ΔDBE.

The only option which is not used to prove that ΔABC is similar to ΔDBE is the first option ,"The sum of angles A and B are supplementary to angle C".

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A certain alloy contains 14.25% nickel. How much nickel is there in a piece weighing 375 pounds? Round your answer to the neares

Tomtit [17]

Turn the percent to a decimal by moving the decimal point over 2 places to the left. then multiply. so, 1425 * 375 = 53.44

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3 years ago

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NO LINKS!!! QRSTU ~ FGCDE. Find FG, CD, and EF.

arsen [322]

Answer:

See below ~

Step-by-step explanation:

Given :

QRSTU ~ FGCDE

Finding the scale factor :

Take two corresponding sides in proportion
RS : GC
40 : 12
10 : 3

Applying the scale factor to find the missing sides :

- FG :

QR : FG = 10 : 3
30/FG = 10/3
FG = 30/10 x 3
FG = 3 x 3
FG = 9

- CD :

ST : CD = 10 : 3
40/CD = 10/3
CD = 40/10 x 3
CD = 4 x 3
CD = 12

- EF :

UQ : EF = 10 : 3
30/EF = 10/3
EF = 30/10 x 3
EF = 3 x 3
EF = 9

4 0

2 years ago

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If the numerator and denominator of the fraction is increased by 2an1 respectively; it becomes3/4 if the numerator and the denom

ipn [44]

Answer:

The fraction is $\frac{7}{1}$

Step-by-step explanation:

Let the numerator be x and denominator be y

So, Fraction = $\frac{x}{y}$

Now we are given that numerator and denominator of the fraction is increased by 2 and 1 respectively. it becomes 3/4

So, Fraction becomes : $\frac{x+2}{y+1}=\frac{3}{4}$

$4(x+2)=3(y+1)$

$4x+8=3y+3$

$4x-3y+5=0$ ----1

We are also given that the numerator and the denominator are decreased by 2 and 1 respectively , it becomes 1/2

So, Fraction becomes : $\frac{x-2}{y-1}=\frac{1}{2}$

$2(x-2)=y-1$

$2x-4=y-1$

$2x-y-3=0$ ---- 2

Substitute the value of y from 2 in 1

$4x-3(2x-3)+5=0$

$4x-6x+9+5=0$

$14=2x$

$7=x$

Substitute the value of x in 2

$2(2)-y-3=0$

$4-3=y$

$1=y$

So, Fraction = $\frac{x}{y}=\frac{7}{1}$

Hence The fraction is $\frac{7}{1}$

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2 years ago

Which transformation shows a reflection across the y-axis? A) A B) B C) C D) D

Masteriza [31]

Answer:

The answer is A

Step-by-step explanation:

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3 years ago

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Amira and Mandisa sell balloon animals at different stands on the boardwalk. They each use a constant number of balloons per ani

MAXImum [283]

Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

<h3>Linear equation</h3>

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the number of balloons for x animals.

Amira uses 4 balloons for each animal.

For Mandisa, using the table using (20, 225) and (60, 25):

$slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{25-225}{60-20}=-5$

Therefore Mandisa uses 5 balloons for each animal, this means that Mandisa uses more.

Find out more on linear equation at: brainly.com/question/14323743

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1 year ago