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postnew [5]
2 years ago
11

Assume ABC DEF. If mA = 70 , mB = 47 , and mC = 63 , what is the measure of F? A. 63 B. 70 C. 47 D. Cannot be determined

Mathematics
2 answers:
Anna [14]2 years ago
8 0

Answer: Measure of <F is 63

Step-by-step explanation: -Apex

kipiarov [429]2 years ago
5 0
I'm assuming that the full statement is ΔABC is congruent to ΔDEF.

Given:
m∠A = 70
m∠B = 47
m∠C = 63

Since both triangles are congruent, the corresponding angles in ΔDEF also has the same measure as those in ΔABC.

m∠D = 70
m∠E = 47
m∠F = 63

The measure of angle F is 63.

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What set of reflections would carry triangle ABC onto itself?
aivan3 [116]
<span><u><em>The correct answer is:</em></u>
4) y-axis, x-axis, y-axis, x-axis.

<u><em>Explanation</em></u><span><u><em>: </em></u>
Reflecting a point (x,y) across the <u>x-axis</u> will map it to (x,-y).
Reflecting a point (x,y) across the <u>y-axis</u> will map it to (-x,y).
Reflecting a point (x,y) across the line <u>y=x</u> will map it to (y, x).

We want a series of transformations that will map every point (x,y) back to (x,y). This means that everything that gets done in one transformation must be undone in another. The only one where this happens is #4.

Reflecting across the y-axis first negates the x-coordinate; (x,y) goes to (-x,y).
Reflecting this across the x-axis negates the y-coordinate; (-x,y) goes to (-x,-y).
Reflecting this point back across the y-axis negates the x-coordinate again, returning it to the original: (-x,-y) goes to (x,-y).
Reflecting this point back across the x-axis negates the y-coordinate again, returning it to the original: (x,-y) goes to (x,y).
We are back to our original point.</span></span>
8 0
2 years ago
Read 2 more answers
Diego's age d is 5 more than 2 times his sister's age s. This situation is represented
Charra [1.4K]

Answer:

d-5=2s

Step-by-step explanation:

Diego's age d is 5 more than 2 times his sister's age s.

The equation used to represent it is :

d = 2s +5

We need to find the equivalent equation for the above equation.

If we take 5 to LHS of the equation, it will become -5 such that,

d-5=2s

Hence, option (b) is the equivalent equation.

6 0
2 years ago
You paid $36.20 for a sweater that originally cost $90.50. What percentage of the original price was the sweater on sale for?You
marin [14]

Answer:

32.761 %

Step-by-step explanation:

Percentage is any fraction or ration expressed as a fraction of 100.

Percentage is calculated using formula

If A has to be expressed as percentage of then it can be expressed as

A/B * 100 in percentage form .

For given problem price paid for sweater = $36.20

original price of sweater = $90.50

Problem is to express percentage of price for which sweater was on sale for.

It can be mathematically  expressed as

what is 36.20% of 90.5

percentage of price for which sweater was on sale for = (price paid for sweater/original price of sweater  ) * 100

It can be mathematically  expressed as

what is 36.20% of 90.5

=>  ($36.20/$90.50 )* 100= 32.761.

32.761 % of the original price sweater was on sale for.

For better understanding ,It can also be said that that if the original price of sweater had been $100, then you would have got it at $32.761 .

4 0
2 years ago
Students at a high school were polled to determine the type of music they preferred. There were 1940 students who
Reika [66]

Answer:

students preferred alternative music

= 461/1940 ×100%=23.7%

6 0
2 years ago
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s.
vampirchik [111]
<span>The <u>correct answer</u> is:

This is the average number of days the house stayed on the market before being sold for $150,000.

Explanation<span>:

f(p) is defined as the average number of days a house stays on the market before being sold for price p (given in $1000).

We want f(150); this means p=150. Since p is in thousands of dollars, this means the price of the house was $150,000.

This means f(150) is the average number of days the house stayed on the market before being sold for $150,000.</span></span>
4 0
2 years ago
Read 2 more answers
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