Answer:
(2.5,10.5)
Step-by-step explanation:
In the abscissa (x), A is in the middle point between 0 and 5:
In the ordinate (y), A is in the middle point between 9 and 12:
Then, the coordinates of point A are:
A=(x,y)→A=(2.5,10.5)
Answer:
Step-by-step explanation:
This is a special die. Its six sides bear the numbers {9, 10, 11, 12, 13, 14}.
There are three possibilities for getting a multiple of two: {10, 12, 14}, and
there is only one possibilities for getting a multiple of ten: {10, 12, 14}
The probability here of getting a multiple of two is 3/6, and that of getting a multiple of ten is 1/6. But one of the outcomes is found in both result sets: 10. Getting a multiple of 10 is already included in the event that the outcome is a multiple of two. My answer here would be 3/6, or 1/2.
Answer:
<A = 116°
<B = 64°
<C = <D = 90°
Step-by-step explanation:
In an inscribed quadrilateral, The sum of opposite angles is equal to 180°
If <A and <B are and also <C and <D opposite angles then:
<A+<B = 180° and
<C+<D = 180°
If <C = <D, then
<C+<C = 180°
2<C = 180°
<C = 180°/2
<C = 90° and <D = 90°
If <A = 9x+17 and <B = 8x-24, then;
9x+17+8x-24 = 180
17x-7 = 180
17x = 187
x = 187/17
x = 11°
<A = 9(11)+17
<A = 99+17
<A = 116°
<B = 180°-116°
<B = 64°
Answer:
nty
Step-by-step explanation:
Answer:
180°
Step-by-step explanation:
The diagram for this question has been attached to this response.
From the diagram;
(i) ∠2 and ∠6 are equal since they are corresponding angles. This implies that the measure of angle 2 (m∠2) is equal to the measure of angle 6 (m∠6). i.e
m∠2 = m∠6 ---------(a)
But m∠2 = 40°
<em>Substitute this into equation (a) as follows;</em>
40° = m∠6
∴ m∠6 = 40°
(ii) ∠1 and ∠2 are supplementary. This implies that the sum of the measures of angle 1 (m∠1) and angle 2(m∠2) is equal to 180°. i.e
m∠1 + m∠2 = 180° ------------------(b)
But m∠2 = 40°
<em>Substitute this into equation (b) as follows;</em>
m∠1 + 40° = 180°
m∠1 = 180° - 40°
m∠1 = 140°
(iii) The measure of ∠1 + ∠6 is given by;
m∠1 + m∠6
<em>Substitute the values of m∠1 = 140° and m∠6 = 40° into the expression to get</em>
m∠1 + m∠6 = 140° + 40°
m∠1 + m∠6 = 180<em>°</em>
<em />
Therefore the measure of ∠1 + ∠6 is 180°