1.

A rectangle has has an area of 112 cm². The length and the width of the rectangle are changed by a scale factor of 1.5.

What is the area of the new rectangle?

2.

What is the measure of SU⏜?

3.

Circle F is intersected by HI←→ and IJ↔ and m∠HIJ=101°

What is the measure of HJ⏜?

Guest May 31, 2017

#1**+1 **

1.

area of old rectangle = L * W

area of new rectangle = (1.5) * L * (1.5) * W

area of new rectangle = 2.25 * L * W

area of new rectangle = 2.25 * area of old rectangle

area of new rectangle = 2.25 * 112 cm^{2}

area of new rectangle = 252 cm^{2}

2.

\(\angle{STU}=\frac12\,\cdot\,\overset{ \frown}{SU} \\~\\ 64^{\circ}=\frac12\,\cdot\,\overset{\frown}{SU} \qquad \text{ Multiply both sides of the equation by 2.} \\~\\ 128^{\circ}=\overset{\frown}{SU}\)

3.

\(m\overset{\frown}{HJ}=180^{\circ}-101^{\circ}=79^{\circ}\)

Also, I noticed the 281º in the bottom right of the circle.

\(m\overset{\frown}{HJ}=360^{\circ}-281^{\circ}=79^{\circ}\)

hectictar
May 31, 2017