help me answer these questions please ### Transcription for Educational Website:---**Question 5:**A triangle is depicted with one side labeled \( 3x - 2 \) and the other side labeled \( x + 4 \). At the bottom, it is indicated that \( x = 3 \).**Given:**- One side of the triangle: \( 3x - 2 \)- Other side of the triangle: \( x + 4 \)- \( x = 3 \)**Finding the lengths of the sides:**1. Substitute \( x = 3 \) into \( 3x - 2 \): \[ 3(3) - 2 = 9 - 2 = 7 \] Therefore, one side of the triangle is 7 units.2. Substitute \( x = 3 \) into \( x + 4 \): \[ 3 + 4 = 7 \] Therefore, the other side of the triangle is also 7 units.**Conclusion:**Both sides of the triangle are 7 units long.---**Question 6:**A triangle labeled \( \triangle GKP \) is depicted with two right angles indicated inside smaller internal triangles. The lengths of the sides involved in the expressions are \( 5x - 8 \) and \( 2x + 13 \). **Details:**- \( GK = 5x - 8 \)- \( GP = 2x + 13 \)**Since this is a geometric problem involving right angles, further steps would involve solving for \( x \) based on given conditions, which are not fully clear from the diagram provided.**---**Question 7:**A linear diagram is drawn where \( A \), \( B \), and \( C \) are collinear points with \( D \) above \( B \) indicating a perpendicular bisector forming right angles with segments \( AB \) and \( BC \):- \( AB = 6x \)- \( BC = 9x - 27 \)- \( BD \) is perpendicular to \( AC \)The figure suggests the use of algebraic expressions to find lengths of segments.**Given:**- \( AB = 6x \)- \( BC = 9x - 27 \)If any values are provided or found for \( x \), lengths **Finding the Value of \(n\) in the Midsegment of a Triangle**In problems 8 and 9, \(\overline{DE}\) is a midsegment of \(\triangle ABC\). We need to find the value of \(n\).### Problem 8In the diagram for problem 8:- \(\triangle ABC\) is given with vertices \(A\), \(B\), and \(C\).- \(\overline{DE}\) is a midsegment of \(\triangle ABC\), meaning \(\overline{DE}\) is parallel to \(\overline{AC}\) and half its length.- \(DE\) is labeled with a length of 36.- The length of \(AC\) is labeled as \(12n\).**Diagrams Explanation:**An incomplete triangle is shown with the midsegment \(\overline{DE}\) parallel to \(\overline{AC}\):- \(A\) and \(B\) are positioned at the base, while \(C\) is the top vertex.- \(DE\) (midsegment) is shorter, parallel, and situated between \(AB\) and \(AC\).- \(DE = 36\)- \(AC = 12n\)### Problem 9In the diagram for problem 9:- \(\triangle ABC\) shows vertices \(A\), \(B\), and \(C\).- \(\overline{DE}\) is a midsegment of \(\triangle ABC\), meaning \(\overline{DE}\) is parallel to \(\overline{BC}\) and half its length.- \(DE\) is given as \(n + 7\).- \(BC\) is given as \(3n + 12\).**Diagram Explanation:**An incomplete triangle is shown with the midsegment \(\overline{DE}\) parallel to \(\overline{BC}\):- \(A\) and \(B\) are positioned at the left and bottom, while \(C\) is the right vertex.- \(DE\) (midsegment) is shorter, parallel, and situated between \(AB\) and \(BC\).- \(DE = n + 7\)- \(BC = 3n + 12\)**Solution Steps:**1. For Problem 8:

Please go through the attached solution. I hope that it will help you .Thankyou . Best regards.

Answered: メ=2 Зх-2 x+4 3. 5.

メ=2 Зх-2 x+4 3. 5.

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT