Answer:
x = 5√2
y = 5√6
z = 5√3
ΔABC ~ ΔBDC ~ ΔADB
Step-by-step explanation:
ΔABC, ΔBDC, and ΔADB are all similar triangles to each other.
By definition of similar triangles, the corresponding sides have the same ratios.
CD from ΔBDC corresponds to BD from ΔADB, and BD from ΔBDC corresponds to AD from ΔADB. So:
CD / BD = BD / AD
10 / x = x / 5
x² = 50
x = 5√2
Since ΔBDC is right, we can use the Pythagorean Theorem to solve for y:
CD² + BD² = BC²
10² + (5√2)² = y²
y² = 100 + 50 = 150
y = 5√6
Again, since ΔΔABD is right, we can use the Pythagorean Theorem to solve for z:
AD² + BD² = AB²
5² + (5√2)² = z²
z² = 25 + 50 = 75
z = 5√3
Answer:
x² = 5×10
x = √50
x = √5²×2
x = 5√2
z² = 5² + (5√2)²
z = √25 + 50
z = √75
z = √5²×3
z = 5√3
y² = 10² + (5√2)²
y = √100 + 50
y = √150
y = √5²×6
y = 5√6
x = 5√2
y = 5√6
z = 5√3
ΔABC ≈ ΔBDC ≈ ΔADB
Answer:
. The sweaters cost $10 or less each. We graph it on a number line at 10 and use a filled in dot pointing towards zero for less than.
Step-by-step explanation:
Mrs. Smith buys 3 sweaters (represented by 3s) and 2 jeans (represented by 2j) for a total of at most $120. We don't know the total but we do know she couldn't spend more than $120.
We write .
We know the jeans cost $45 each, so j=45. We substitute,
We solve for s by subtracting 90 to the other side and dividing the result by 3.
.
The sweaters cost $10 or less each.
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Answer: 72
Step-by-step explanation:
You take 9 times 8 and you get 72. You do this because you are hiking nine miles a day and you are hiking for eight days
If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.
If both workouts were 60 minutes, Dane spent 8 more minutes on cardio exercise than Alina did.
Alina spent less time on cardio exercise than Dane did.
The correct answer is B. If Alina’s workout was 80 minutes, and Dane’s workout was 48 minutes, they spent the same amount of time on cardio exercise.
To figure this out, first find 15% of 80 and then 25% of 48.
To find 15% of 80, you can first find 10% of 80 which is 8(just move the decimal one place to the left). The remaining 5% will be half of 8 since 8 is 10%. Add both the numbers up and you will get 12. (8+4=12)
To find 25% of 48, you can divide 48 by 4. Since percent means 'out of 100', 25% is 25 of 100. 100 divided by 25 is equal to 4. So, 48 divided by 4 is equal to 12.
So, the final answer is B. They both equal to 12.
Hope it helps :)