9514 1404 393
Answer:
∠16 = 47°
Step-by-step explanation:
Vertical and corresponding angles are congruent. The remainder are supplementary to those.
∠1≅∠4≅∠5≅∠7≅∠10≅∠12≅∠13≅∠15 = 133°
∠2≅∠3≅∠6≅∠8≅∠9≅∠11≅∠14≅∠16 = 47°
There are two numbers whose sum is 64. The larger number subtracted from 4 times the smaller number gives 31. Then the numbers are 45 and 19
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Solution:</u></h3>
Given that, There are two numbers whose sum is 64.
Let the number be a and b in which a is bigger.
Then, a + b = 64 ------ eqn (1)
The larger number subtracted from 4 times the smaller number gives 31.
4 x b – a = 31
4b – a = 31 ----- eqn (2)
We have to find the numbers.
So, from eqn (2)
a = 4b – 31
Subatitute a in (1)
4b – 31 + b = 64
On solving we get
5b = 64 + 31
5b = 95
b = 19
So, b = 19, then eqn 1
a + 19 = 64
On simplification,
a = 64 – 19
a = 45
Hence, the two numbers are 45 and 19
Answer:
-90
Step-by-step explanation:
Answer: x= 1
Step-by-step explanation: Look at pic down below.
Let's start with what we know:
Smaller canvas:
Length (
) = 3ft
Width (
) = 5ft
Larger canvas:
Length (
) = ?
Width (
) = 10ft
Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:
So let's plug it all in from above:
Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:
Now divide each side by 5 to isolate
The 5s on the right cancel out, leaving us with:
So the length of the larger canvas is
6 ft