27,643,087 nearest million
2 answers:
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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:
x=1 and y= 5
Step-by-step explanation:
To solve this, lets take the first equation and find the x value.
Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.
5x+4y=16
-5x -5x
4y=-5x+16
÷4 ÷4 ÷4
y=+4
or
y=-1+4
or
y= 5
Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:
5x+4(+4)=16
5x-5+16=16
5x+11=16
-11 -11
5x=5
÷5 ÷5
x=1 and y= 5