Answer:
0,7
3,10
Step-by-step explanation:
Given:
ABCD is a quadrilateral inscribed in a circle.
m∠A = (2x + 38)°, m∠B = 3x° and m∠D = (x + 20)°
To find:
Measure of angle C
Solution:
<em>In cylic quadrilateral, sum of the measures of opposite angles are 180°.</em>
m∠B + m∠D = 180°
3x° + x° + 20° = 180°
4x° + 20° = 180°
Subtract 20° from both sides.
4x° + 20° - 20° = 180° - 20°
4x° = 160°
Divide by 4 on both sides, we get
x° = 40°
<em>In cylic quadrilateral, sum of the measures of opposite angles are 180°.</em>
m∠A + m∠C = 180°
2x° + 38° + m∠C = 180°
2(40)° + 38° + m∠C = 180°
80° + 38° + m∠C = 180°
118° + m∠C = 180°
Subtract 118° from both sides, we get
m∠C = 62°
The measure of angle C is 62°.
Answer:8pennies,16dimes,13nickels,13quarters
Step-by-step explanation:
total number of coin=50
16% are pennies
16% of 50
16/100 x 50=(16x50)/100=800/100=8
Pennies=8
32% are dimes
32% of 50
32/100 x 50=(32x50)/100=1600/100=16
Dimes = 16
5 more nickels than pennies
Pennies=8
nickels=8+5=13
nickels=13
8+16+13=37
50-37=13
13 quarters
pennies=8,dimes=16,nickels=13,quarters=13
Answer:
60
Step-by-step explanation:
We are given the triangles are congruent, that means the angles are the same measurement
<A = <X
<B = <Y
<C = <Z
We know A = 50 so X = 50
We know <Y = 70 so < B = 70
The three angles of a triangle add to 180
<A + <B + <C = 180
Substituting into the equation
50 + 70 + <C = 180
Combining like terms
120 + <C =180
Subtracting 120 from each side
120-120 +<C =180-120
<C = 60
390. 8 is in the tens place so you go up to nearest ten which is 390