The interior angles in a 4 sided polygon add up to 360°. You are already given two measurements of 90°, so you know that the lastvtwo angles sum to 360-90-90= 180°.
Put this information into an equation and solve for x:
(7x+27)°+(9x-7)°=180°
7x+27°+9x-7°=180°
16x+20°=180°
16x=160°
x=10°
Angle B is (7x+27)°, so just substitute x:
B = 7(10)+27
B = 70+27
B = 97°
Answer:
(i) Yes
(ii) Yes
Step-by-step explanation:
We are given that
AB=AC
(i)D is the mid-point of BC
BD=DC
In triangle ADB and triangle ADC
AD=AD
Reason: Reflexive property
BD=DC
Reason:Given
AB=AC
Reason: Given
ADB
ADC
Reason:SSS postulate
Yes, triangle ADB is congruent to triangle ADC
(ii) Angle B=Angle C
Reason: CPCT
Yes , angle B=angle C
Answer:
Each CD was $15.30.
Step-by-step explanation:
97.20-5.40= 91.80 => 91.80/6= 15.30
The answer in a fraction format is 2/9 or decimal format will be 0.222222222
let x = the distance from Delany's house to the mall
so half the distance would be 1/2x
then it is 5 miles less than that so you would subtract 5 to give you 1/2x-5
and that is more than 6 miles so you get 1/2x-5>6
