Answer:
∠6=116°
Step-by-step explanation:
Buckle up :)
- We are given the values of ∠4
and ∠8 
.
- Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also
. - ∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
- Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:
Solve for x. Subtract 94 from both sides:
Add 5x to both sides:
Divide both sides by 3:
Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:
∠4 is 64°. Use ∠a+∠b=180 to find angle 6:
a represents angle 6. Subtract 64 from both sides:
Angle 6 has a measure of 116°.
:Done
Answer:
12+8r
Step-by-step explanation:
2(6+4r) = 30r
If I am wrong, please let me know and I will do a re-correction
This is easy the answers 55 you just need to divide
165 ÷ 3 = ?
Step 1: Look at the multiplications of three can you make a group with an answer close to one? if not look at 16 and the multiplications of three is there a number close to 16 or exact?
Step 2: In this case 5 × 3 = 15, so 15 is close to 16.
Step 3: Now you need to subtract 16 and 15, 16 - 15 = 1.
Step 4: Like there's no number that has 1 as a answer, you need to lower the 5.
Step 5: Once you lower the five it makes 15 in the in the multiplications of three is there something close to 15 or exact? Yes there is a number that can make 15, it's 5 × 3 so 15 take away 15 makes zero so your answer will be simple, 55.
So Luke's dad needs to save $55 each week.
(sorry if their is spelling errors)
Answer:
see below
Step-by-step explanation:
The problem statement seems to presume you have seen an exponential function like this written as ...
f(t) = a0·(1 +r)^t
where a0 is the value corresponding to f(0) and "r" is the fractional rate at which the value increases for each increment of t.
Here, 1+r corresponds to 1.04 in the given function, so r = 0.04 = 4%. When the value is <em>greater than 0</em>, it means there is an <em>increase</em> by that fraction each time t increases by 1.
Here, t is not defined, either, but it would usually be used to represent years in a situation like this. (In other situations, it might represent months, hours, or millenia.)
Hence, the appropriate choice is the one that describes a 4% annual increase.
