Answer:
Triangle ABC and BCD are congruent by the side side side triangle congruence theorem
Answer:
6750
Step-by-step explanation:
4 digit numbers are 1000,1001,1002,...,9999
let numbers=n
d=1001-1000=1
9999=1000+(n-1)1
9999-1000=n-1
8999+1=n
n=9000
now let us find the 4 digit numbers divisible by 4
4| 1000
______
| 250
4 |9999
_____
| 2499-3
9999-3=9996
so numbers are 1000,1004,1008,...,9996
a=1000
d=1004-1000=4
let N be number of terms
9996=1000+(N-1)4
9996-1000=(N-1)4
8996=(N-1)4
N-1=8996/4=2249
N=2249+1=2250
so number of 4 digit numbers not divisible by 4=9000-2250=6750
Answer:
he sum of the measures of two complementary angles is 90 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
In this problem we have that
m∠ABD and m∠DBC are complementary
so
m∠ABD + m∠DBC=90° -----> by complementary angles
and
(m∠ABD + m∠DBC)+m∠EBC=180° -----> by a linear pair
Find the measure of angle EBC
substitute the given values
(90°)+m∠EBC=180°
∠EBC=180°-90°=90°
Answer:
y = 11.5
Step-by-step explanation:
Given 2 secants from an external point to the circle.
Then the product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is
6(6 + y) = 5(5 + 16)
36 + 6y = 5 × 21 = 105 ( subtract 36 from both sides )
6y = 69 ( divide both parts by 6 )
y = 11.5
