Given: MzQVR = 49°Prove x = 15
Statements
Reasons
1. MZQVR = 49
1. given
2. MZUVT = 3x + 4
2. given
S
R
3. LQVR and ZUVT are
vertical angles
3. definition of vertical
angles
T
4. LUVT , ZQVR
4.
V
(3x + 4)º
5. m_UVT = m2QVR
5. definition of congruence
U
6. +
6. substitution property
Complete the steps of the proof
7. 3x = 45
7. subtraction property
8. x = 15
8. division property
<
3x + 4 = 15
3x + 4 = 49
X measure of angle QVR = 49 degrees
✓ Done
measure of angle UVT = (3x + 4) degrees
7 of a
Answers
The proof of the question is explained in the solution.
What are vertical angles?
Vertical angles are the angles that are formed when two lines intersect each other at a point.
Given that a figure having m∠QVR = 49°, we need to prove that x = 15,
We know that,
Vertically opposite angles are equal.
From the figure we can see a number of line segments
m∠QVR = 49°
From the given figure we get,
∠QVR and ∠UVT are vertically opposite angles.
Therefore,
m∠QVR = m∠UVT
49 = 3x + 4
3x = 49 - 4
3x = 45
x = 45/3 = 15
Hence, proved.
Learn more about vertical angles click;
#SPJ5
Answer:
4. vertical angles theorem
6. 3x+4=49
Step-by-step explanation:
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Answers
Naturally, a pyramid of zero layers doesn't need any snowballs, so P(0) = 0. Then using the given recurrence, we find
P(1) = 1
P(2) = 1 + 4 = 5
P(3) = 1 + 4 + 9 = 14
P(4) = 1 + 4 + 9 + 16 = 30
and so on; luckily, three of these are listed among the answer choices, which leaves 25 as an insufficient number of snowballs to make such a pyramid.
More generally, we would end up with
Then given some number of snowballs S, you could try to solve for n such that
S = n (n + 1) (2n + 1)/6
and any S that makes n a non-integer would be the answer.
Answers
Answer:
Multiple choice?
Step-by-step explanation:
They now had the same amount in their accounts.
How much did they initially have altogether?
Answers
Answer:
£780 and £1300
Step-by-step explanation:
The ratio in their accounts is 3 : 5 = 3x : 5x ( x is a multiplier )
Terry put £220 into his account, then 3x + 220
Faye withdrew £300 from her account then 5x - 300
They now have the same amounts in their accounts, thus
5x - 300 = 3x + 220 ( subtract 3x from both sides )
2x - 300 = 220 ( add 300 to both sides )
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Answers
Formula: P(A or B)=P(A)+P(B)-P(A or B)
p(c)=7/18
p(s)=6/18
p(c or s)=2/18
0.39+0.33-0.11=
answer:0.61
Formula: P(A or B)=P(A)+P(B)-P(A or B)
p(c)=7/18
p(s)=6/18
p(c or s)=2/18
0.39+0.33-0.11=
answer:0.61