Answer:
1 3/8
Step-by-step explanation:
First, change the mixed fraction to improper fraction.
2 3/4 = 8/4 + 3/4 = 11/4
1/2 of 11/4 = (11/4)(1/2) = 11/8
11/4 - 11/8 = 22/8 - 11/8 = 11/8
11/8, or 1 3/8 is your answer.
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Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
Step-by-step explanation:
<u>In isocseles triangle, base angles </u><u>are</u><u> equal</u> :
base angles are angle N and angle P:
angle N=angle P
3x+17=4x+2
4x-3x=17-2
x=15
<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>N</u><u>:</u>
subtitute x in angle N
=3(15)+17
=45+17
=62
<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>P</u><u>:</u>
subtitute x in angle P:
=4(15)+2
=60+2
=62
<u>F</u><u>o</u><u>r</u><u> </u><u>a</u><u>n</u><u>g</u><u>l</u><u>e</u><u> </u><u>O</u><u>:</u>
sum of all angles in a triangle is 180.
angle N +angle P+angle O=180
62+62+angle O=180
angle O=180-62-62
angle O=56
<u>N</u><u>o</u><u>t</u><u>e</u><u>:</u><u> </u><u>i</u><u>f</u><u> </u><u>y</u><u>o</u><u>u</u><u> </u><u>have</u><u> </u><u>any</u><u> </u><u>question</u><u> </u><u>l</u><u>e</u><u>t</u><u> </u><u>m</u><u>e</u><u> </u><u>k</u><u>n</u><u>o</u><u>w</u><u> </u><u>a</u><u>b</u><u>o</u><u>u</u><u>t</u><u> </u><u>i</u><u>t</u><u>.</u><u> </u><u>t</u><u>h</u><u>a</u><u>n</u><u>k</u><u>s</u>
