Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.
Answer: =−3/5
Step-by-step explanation: Hope this help :D
Answer:
I hope this helps
Step-by-step explanation:
180 Degree Rotation
When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative.
Answer:
y = 7
NO = 5
Step-by-step explanation:
Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2
Since LMNO is a parallelogram, hence;
LM = NO
2y - 9 = y - 2
2y - y = -2 + 9
y = 7
Since NO = y - 2
NO = 7 - 2
NO = 5
Explanation:
Volume of rectangular prism: Length * Width * Height
Solve:
<u></u>
<u>1)</u>
Volume: 9 * 9 * 9 = 9³ = 729 cm³
<u>2)</u>
Volume: 7 * 3 * 2 = 42 m³
<u>3)</u>
Volume: 7 * 7 * 7 = 7³ = 343 cm³
