Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°
Using the distributive property (2x-1)5!
Answer:
30
Step-by-step explanation:
.2x45=9 so then you will have to multiply .2 by something less then 45.
.2x40=8
.2x35=7
<u>.2x30=6</u>
Answer:
Entiendo tu idioma, hablas español, ¿no? Me encantaría ayudarte hablo inglés y español
Step-by-step explanation:
Answer:
8/14
Step-by-step explanation:
The probability of getting a consonant is the sum of the total consonants divided by the total number of letters. The consonants in the word ADMINISTRATION are 8 in number (D,M,N,S,T,R,T,N) while the vowels in the word are 6 in number (A,I,I,A,I,O).
Therefore, the sum of the letters in the word ADMINISTRATION is 14.
The probability of getting a consonant is equal to;
<em>Sum of Consonants/ Sum of the letters </em>
which is 8/14.
Since the two numbers are divisible by 2, we could break the fraction further to get 4/7.
