Answer: 1
Step-by-step explanation: the lowest number they divide into evenly is 1
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
<h3>B. m∠R = 110°, m∠T = 110°, m∠U = 70°</h3>
Step-by-step explanation:
The opposite angles of the parallelogram are the same.
From the diagram;
<S = <U and <R = <T
Given
<S = 70°
Since <S = <U, hence <U = 70°
Since the sum of angles in a quadrilateral is 360 degrees, hence;
<R+<S+<T+<U = 360
Since <R = <T, then;
<Y+<S+<T+<U = 360
2<T + 70+70 = 360
2<T = 360-140
2<T = 220
<T = 220/2
<T = 110°
Since <T = <R, then < R = 110°
Hence m∠R = 110°, m∠T = 110°, m∠U = 70°. Option B is correct
Answer:
25.5in²
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = (1/2) x (sum of the lengths of the parallel sides) x height
1/2 x (6 + 11) x 3 = 25.5 in²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
There are 61 blue marbles
<em><u>Solution:</u></em>
Let "b" be the number of blue marbles
Let "r" be the number of red marbles
Given that bag contains blue marbles and red marbles, 75 in total
number of blue marbles + number of red marbles = 75
b + r = 75 -------- eqn 1
The number of blue marbles is 5 more than 4 times the number of red marbles
number of blue marbles = 5 + 4(number of red marbles)
b = 5 + 4r ------- eqn 2
Let us solve eqn 1 and eqn 2
Substitute eqn 2 in eqn 1
5 + 4r + r = 75
5 + 5r = 75
5r = 75 - 5
5r = 70
r = 14
From eqn 2,
b = 5 + 4(14) = 5 + 56 = 61
b = 61
Thus there are 61 blue marbles
