Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
<u>10x- 9 = 9x</u>
Subtract 9x from each side: x - 9 = 0
Add 9 to each side: <u> x = 9</u>
Now that we know what 'x' is, we can find the size of Angles-5 and -7 .
Angle-7 = 9x = 81° .
Now look at Angle-6 ... the one that's the answer to the problem.
Angle-6 and -7 together make a straight line, so they must
add up to 180°.
<u>Angle-6 + 81° = 180°</u>
Subtract 81° from each side: Angle-6 = <em>99° .</em>
√1694 = √121*14 = 11<span>√14
The simplest form of </span>√1694 is 11<span>√14. First, you need to find the highest number which can have a square root, and for 1694, that is 121. </span>
Answer:B
Step-by-step explanation: a factor of a number that is multiplied by itself
Answer:
-0.2
Step-by-step explanation:
Sine and cosine are co-functions.
That means, cos(90-x)=sin(x) or sin(90-x)=cos(x).
So here since cos(90-x)=-0.2, then sin(x)=-0.2.
Answer:
p(x): y-intercept is 4; the base is 3; the equation is p(x) = 4(3^x)
q(x): y-intercept is 4; the base is 2; the equation is p(x) = 4(2^x)
Step-by-step explanation:
<em>The y-intercept of both graphs is 4</em>
The standard exponential function equation is
y = ab^x
We need to find a and b for each function.
For each graph, we use two points to find a and b in the standard exponential function equation.
p(x)
y = ab^x
Use point (0, 4)
4 = ab^0
4 = a * 1
a = 4
y = 4(b^x)
Use point (1, 12)
12 = 4(b^1)
b = 12/4
b = 3
<em>The base is 3.</em>
<em>p(x) = 4(3^x)</em>
q(x)
y = ab^x
Use point (0, 4)
4 = ab^0
4 = a * 1
a = 4
y = 4(b^x)
Use point (1, 8)
8 = 4(b^1)
b = 8/4
b = 2
<em>The base is 2.</em>
<em>q(x) = 4(2^x)</em>
