F=5 dollar bills
t=twent dollar bills
38 total bills
f+t=38
400 in bills
400=5f+20t
we have
f+t=38
5f+20t=400
multipy first equation by -5 and add to second equation
-5f-5t=-190
5f+20t=400 +
0f+15t=210
15t=210
divide both sides by 15
t=14
subsitute
t+f=38
15+f=38
f=23
23 five dolar bills
15 twenty dollar bills
Answer:
x=12
Step-by-step explanation:
32/2x = x/9; because the triangles are similar
32 = 2x^2/9
288 = 2x^2
144 = x^2
x = 12 or x = -12, but the latter is nonsensical.
Before attempting to solve this question, we must first know three things.
1. A straight line has a measure of 180 degrees.
2. When two angles add up to 180 degrees, those angles are called supplementary.
3. The interior angles of a triangle add up to 180 degrees.
We can see ∠ECT = 180 degrees.
∠DCT is supplementary to ∠DCE.
∠DCT = 140 degreees
∠DCE = x degrees
x + 140 = 180
Solve for x.
x + 140 = 180
x = 40 <-- Subtract 140 from each side
∠DCE = 40 degrees
We know the two interior angles of ΔDEC.
45 + 40 + x = 180
Solve for x.
45 + 40 + x = 180
85 + x = 180 <-- Combine like terms
x = 95
So, the missing angle is equal to 95 degrees.
Answer:
20 cm²
Step-by-step explanation:
1/2 ( 5 x 8 ) = 1/2 ( 40 ) = 20
If my answer is incorrect, pls correct me!
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-Chetan K
The translation mode are-
- On a chessboard, moving a knight from (3, 2) to (5, 1) results in a translation of 2 squares up and 1 square left.
- The translation produced is 2 squares right, 1 square up, if a player advances his knight from (5, 1) to (6, 3).
<h3>What is translation?</h3>
In mathematics, a translation is the up, down, left, or right movement of a shape.
Some key features regarding translation are-
- Because the translated shapes appear to be identical in size as the original ones, they are consistent with one another.
- Just one or maybe more directions have been altered.
- There has been no change in its form because it is simply being moved from one location to another.
- The object may initially travel left, then turn right, and so on.
- The direction or the course of this shift in the object's position can also alter.
- Each point on the shape will move by the same number of units during translation.
- For instance, all of the points will move two units to that same right if one point moves two units to that same right.
To know more about translation, here
brainly.com/question/1046778
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