1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DanielleElmas [232]
3 years ago
7

4 Consider the triangle below.

Mathematics
1 answer:
Maurinko [17]3 years ago
6 0
<h2>=>> <u>Solution (part A</u>) :</h2>

Given :

▪︎Triangle AMG is an isosceles triangle.

▪︎Measure of segment AM = (x+1.4) inches

▪︎Measure of segment MG = (2x+0.1) inches

▪︎Measure of segment AG = (3x-0.4) inches

▪︎segment AG is the base of triangle AMG.

Since AG is the base of the isosceles triangle AMG, segment AM and segment MG will be equal.

Which means :

= \tt x + 1.4 = 2x + 0.1

= \tt x + 1.4 - 0.1 = 2x

=  \tt \: x + 1.3 = 2x

= \tt 1.3 = 2x - x

\color{plum} \hookrightarrow  \tt x = 1.3

Thus, the value of x = 1.3

Therefore :

▪︎The value of x = 1.3

<h2>=>> <u>Solution (Part B)</u> :</h2>

We know that :

▪︎The value of x = 1.3

Which means :

The length of the leg AM :

= \tt x + 1.4

= \tt 1.3 + 1.4

\color{plum} \tt leg \: AM= 2.7 \: inches

Thus, the length of the leg AM = 2.7 inches

The length of leg MG :

= \tt 2x + 0.1

=  \tt2 \times 1.3 + 0.1

= \tt 2.6 + 0.1

\color{plum} \tt\: leg \:MG = 2.7 \: inches

Thus, the length of the leg MG = 2.7 inches

Since the measure of the two legs are equal (2.7=2.7), we can conclude that we have found out the correct length of each leg.

Therefore :

▪︎Measure of leg AM = 2.7 inches

▪︎Measure of leg MG = 2.7 inches

<h2>=>> <u>Solution </u><u>(</u><u>part C</u><u>)</u> :</h2>

We know that :

Value of x = 1.3

Then, measure of the base AG :

=  \tt 3x - 0.4

= \tt 3 \times 1.3 - 0.4

= \tt 3.9 - 0.4

\color{plum}\tt \: Base  \: AG = 3.5 \:  inches

Thus, the measure of the base = 3.5 inches

Therefore :

▪︎ the length of base AG = 3.5 inches.

You might be interested in
A line is drawn on a coordinate grid by the equation x = 6. Which of the following lines would represent a row parallel to it?
AlexFokin [52]

Answer: D

Step-by-step explanation:

5 0
3 years ago
Write the Standard Form of the line with x-intercept of 3 and y-intercept of 4.
lidiya [134]
4x + 3y= 12

4x + 3*0= 12, x-int= 3

4*0 + 3y= 12, y-int= 4
6 0
2 years ago
What is the equation of the graphed line written in
Ratling [72]

Answer:

semoga jawapan ini dapat membantu

4 0
3 years ago
X + x(x + y) + y; use x = 4, and y = 1
leva [86]

\huge\text{Hey there!}

\huge\text{x + x(x + y) + y}

\huge\text{= 4 + 4(4 + 1) + 1}

\huge\text{= 4 + 4(5) + 1}

\huge\text{= 4 + 20 + 1}

\huge\text{= 24 + 1}

\huge\text{= 25}

\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\huge\boxed{\frak{Amphitrite1040:)}}

5 0
3 years ago
Read 2 more answers
Perform the following division:
Radda [10]
Hey!


Alright, the first step to solving this division problem would be to convert the mixed fraction into a simple fraction.  To do that, we'll multiply the denominator by the whole number and then add that total to the numerator.

<em>Original Fraction :</em>
3 \frac{3}{4}

<em>New Fraction {Changed by Conversion} :</em>
\frac{15}{4}

Now that we've successfully done that we'll have to change the equation.

<em>Old Equation :</em>
\frac{15}{4} ÷ \frac{2}{8} = ?

<em>New Equation {Changed by Flipping the Second Fraction and the Symbol} :</em>
\frac{15}{4} · \frac{8}{2} = ?

Now we multiply straight across.

<em>Old Equation :</em>
\frac{15}{4} · \frac{8}{2} = ?

<em>Solved :</em>
\frac{120}{8}

Almost done!
Now we have to simplify the fraction.

<em>Old Fraction :</em>
\frac{120}{8}

<em>New Fraction {Changed by Simplification} :</em>
\frac{15}{1}

Now just convert it to a whole number by removing the fraction line and the number, and that's it!

<span><em>So, 3  \frac{3}{4} ÷ \frac{2}{8} equals</em></span>  15.

Hope this helps!


- Lindsey Frazier ♥
7 0
3 years ago
Other questions:
  • a car dealer is caculating the list price for a used car. the dealer takes the initial price of 5the car and adds $259 dollars f
    12·1 answer
  • Please please help me out
    10·1 answer
  • Select the correct answer.
    14·1 answer
  • 3. Suppose that you draw two cards from a standard 52 card deck. You replace the first card and shuffle thoroughly before you dr
    7·1 answer
  • What Is The Slope Of the Line
    10·1 answer
  • Simplify <br> 1/3n (-6+27m-51p)
    15·2 answers
  • What is ((-1²-3)²+2•8​
    14·1 answer
  • What is the value of x in the equation 3x-15=-18
    5·2 answers
  • Find the x-intercepts for y = -7x2 + 4x + 9 using the quadratic formula. Choose all
    10·1 answer
  • Which ratio is greater? 4:3 or 7:9. (Show necessary steps and calculations for your answer)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!