<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
Take the area of the small photograph and divide it by four, assuming it's a square, each side would then be 6 inches. The large photograph has double the side length of the small one, so 6 multiplied by 2 is 12. To find the area of the large (square) photograph, multiply 12 by 12 as two of the sides, and the area of the large photo is 144 square inches
Answer:
131
Step-by-step explanation:
Given that:
Median of a consecutive odd integers = 138
Greatest integer In dataset = 145
Least integer in dataset =
Since the integers are consecutive ;
Number of integers to greatest integer value : Greatest integer - median value = 145 - 138 = 7
Hence, 7 integers before the median value should give us the least integer value ;
138 - 7 = 131
CHECK:
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145
Median = (n+1)/2 th term
Median = (15+1)/2 = 8th term = 138
Highest = 145
Least = 131
Answer:
Step-by-step explanation:
So let's find the equation of the line for f(x). We know the y-intercept, also known as b in the equation of the line for f(x), is 3. (b = y-intercept = 3)
y = mx + <u>b</u>
y = mx + <u>3</u>
Now, to find the slope you must use the formula of...
(y₂ - y₁) / (x₂ - x₁)
We have two points of the line already shown. We will now use the formula to find out the slope.
(3 - 1) / (0 - 1) = 2 / -1 = -2, the slope is -2. (m = slope = -2)
y = <u>m</u>x + 3
y = <u>-2</u>x + 3
Now check the following statements and see which ones are true.
A is <em>not </em>a true statement.
B is <em>not </em>a true statement because a slope of -6 is steeper than -2. The negative slope only changes the direction of the line.
C is <em>not </em>a true statement because the slope of f(x) is not undefined.
D <u>is</u> a true statement because the line of f(x) is less steep than the slope of g(x).
KEEP IN MIND THE SLOPE IS M IN THE EQUATION OF A LINE.
Answer:4 vases
Step-by-step explanation: