Given, mZQVR = 49°
Prove: x= 15
Statements
1. MLOVR = 49
Reasons
1. given
2. MLUVT = 3x + 4
2. given
S
R
3. definition of vertical
angles
О
3. LOVR and LUVT are
vertical angles
4. ZUVT 2 LOVR
T
4.
V
(3x + 4)
5. MZUVT = MZOVR
5. definition of congruence
6. substitution property
Complete the steps of the proof.
7.3x = 45
7 subtraction property
8.x = 15
8. division property

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

step-by-step explanation:

1

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;