12 total letters...5 vowels and 7 consonants.
probability of 1st letter being a vowel is 5/12
after replacing ...
probability of 2nd letter being a vowel is 5/12
probability of both occurring is (5/12 * 5/12) = 25/144 <===
X= -15
First, we want to combine like terms.
4x-10=20+6x
Subtract 4x from both sides
-10=20+2x
Subtract 20 from both sides
-30=2x
Divide by 2 to isolate the variable
X= -15
Let C be the center of the circle. The measure of arc VSU is , so the measure of the minor arc VU is . The central angle VCU also has measure .
Triangle CUV is isosceles, so the angles CVU and CUV are congruent. The interior angles of any triangle are supplementary (they add to 180 degrees) so
UT is tangent to the circle, so CU is perpendicular to UT. Angles CUV and VUT are complementary, so
So finally,
degrees.
Answer:
39 units²
Step-by-step explanation:
Quadrilateral VEDR has a width of 5 units and a height of 6 units, so an area of ...
(5 units)(6 units) = 30 units²
Triangle MVR has a base (VR) of 6 units and a height (M to VR) of 3 units, so an area of ...
(1/2)(6 units)(3 units) = 9 units²
Then the total area of the polygon MVEDR is ...
30 units² +9 units² = 39 units²