Answer:
ans:
5. Hl
6. Hl
7. ASA
8. AAS
Step-by-step explanation:
use different axiom for congurency
- SAS
- RHS
- AAS
- SSA
- ASA
- SSS
Answer:
(2,2)
Step-by-step explanation:
Domain of this function
Answer:
m<R=44.9,m<S=56.9,m<T=44.9,m<U= 32.9.
Step-by-step explanation:
When two chords are equal then the measure of the arcs are equal.
Chord RU= Chord UT
Or , m arc RU= m arc UT,
3z-4=x+2z+7 Or z=x+11
Chord RS=Chord ST ,
m arc RS=m arc ST=3x+5
Sum of m arc in a circle =360 degrees.
Or ,
3x+5+3x+5+3z-4+x+2z+7=360
7x+5z+13=360
Substituting z=x+11
7x+5(x+11)+13=360
7x+5x+55+13=360
12x+68=360
12x=292,x=24.3
z=x+11=11+24.3=34.3
m arc RU=marc UT= 3z-4=3(24.3)-4=69
m arc RS =marc ST= 3x+5=3(24..3)+5=77.9
m<R= (marc UT+ m arc ST)÷2
m<R=(69+77.9)÷2=73.45
m<S= (m arc RU+m arc UT)÷2
m<S= (69+69)÷2=69
m<T=(m arc RU+m arc RS)÷2=73.45
m<U=(m arc RS+m arc m arc ST)÷2=77.9
Answer:
Volume of regular pyramid = 156 ft²
Step-by-step explanation:
Given:
Area of regular pyramid = 36 ft²
Height of regular pyramid = 13 ft
Find:
Volume of regular pyramid
Computation:
Volume of regular pyramid = [1/3][b][h]
Volume of regular pyramid = [1/3][36][13]
Volume of regular pyramid = [12][13]
Volume of regular pyramid = 156 ft²
Answer:
The numbers are
and 
Step-by-step explanation:
Let
x -----> the smaller positive real number
y -----> the larger positive real number
we know that
A positive real number is 2 less than another
so
----> equation A
When 4 times the larger is added to the square of the smaller, the result is 49
so
----> equation B
substitute equation A in equation B
solve for x
The formula to solve a quadratic equation of the form
is equal to
in this problem we have
so
substitute in the formula
so
The positive real number is
Find the value of y
