Answer:
i believe x would be 12
Step-by-step explanation:
i did 7+5=12
The answer to this would be 5x+6>=21. Just wanted points :P
Answer:
UT = 104
∠R = 126°
Step-by-step explanation:
Part 1: Finding UT
The symbols on the triangles indicate that the triangles have the same side lengths.
That means 2x + 84 = 14x - 36
We can find the length of UT by solving for x
2x+84=14x−36
<u>Step 1: Subtract 14x from both sides.</u>
2x + 84 − 14x = 14x − 36 − 14x
−12x + 84 = −36
<u>Step 2: Subtract 84 from both sides.</u>
−12x + 84 − 84 = −36 − 84
−12x = −120
<u>Step 3: Divide both sides by -12.</u>
-12x / -12 = -120 / -12
x = 10
Now we know x=10, we can substitute 10 for x to get UT
UT = 2x + 84
UT = 2(10) + 84
UT = 20 + 84
UT = 104
So the length of UT is 104
Part 2: Finding ∠R
Since we know angle R is equal to angle U, we know
10y - 14 = 5y + 56
We can solve for y to find R
<u>Step 1: Subtract 5y from both sides.</u>
10y − 14 − 5y = 5y + 56 − 5y
5y − 14 = 56
<u>Step 2: Add 14 to both sides.</u>
5y−14+14=56+14
5y=70
<u>Step 3: Divide both sides by 5.</u>
5y/5 = 70/5
y=14
Now that we know y=14, we can substitute that value to find ∠R
∠R = 10y - 14
∠R = 10(14) - 14
∠R = 140 - 14
∠R = 126°
Answer:
a = 5.07
Step-by-step explanation:
Here, we want to get the value of the side marked a
What we have is a right triangle
so, to find the value of a, we are to use the correct trigonometric ratio
The angle given faces a, which makes a the opposite
the side measure faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects the two is the sine
The sine is the ratio of the opposite to the hypotenuse
mathematically;
sine 25 = a/12
a = 12 * sine 25
a = 5.07
