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Lady bird [3.3K]
3 years ago
9

The temperature is -5 degrees in the morning and it rises 20 degrees in

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
3 0
The answer is 15 degrees
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Given: FPST is a trapezoid, FP=ST, m∠F=45°, PF=8, PS=10 <br><br> Find: The midsegment MN.
kodGreya [7K]

Answer:

4\sqrt{2}+10

Step-by-step explanation:

In trapezoid FPST, FP=ST, then this trapezoid is isosceles, so

m\angle F=m\angle T=45^{\circ}.

Draw the height PH. Triangle FPH is right triangle with two angles of measure 45°. This means that FH=HP. By the Pythagorean theorem,

FH^2+PH^2=PF^2,\\ \\2FH^2=8^2,\\ \\FH^2=32,\\ \\FH=4\sqrt{2}.

Since trapezoid FPST is isosceles, the base FT hasthe length

FT=2FH+PS=8\sqrt{2}+10.

Then the length of the midline is

MN=\dfrac{FT+PS}{2}=\dfrac{8\sqrt{2}+10+10}{2}=4\sqrt{2}+10.

8 0
3 years ago
Jenny wants to earn $1,300 by the end of the summer. How much more will she need tp earn to meet her goal?
Stells [14]
How many does she have so far becase u just subtract it by that nuber
3 0
4 years ago
Work out the percentage change to 2 decimal places when a price of £110 is<br> decreased to £98.
djyliett [7]

Answer:

10.91% decrease

Step-by-step explanation:

98/110 x 100 = 89.090909

100 - 89.0909 = 10.909090 to 2dp is 10.91%

8 0
3 years ago
Name the 5 Steps to solving equations and inequalities.
grandymaker [24]

Answer:

Step 1 : First, solve one linear equation for y in terms of x .

Step 2 : Then substitute that expression for y in the other linear equation. ...

Step 3 : Solve this, and you have the x -coordinate of the intersection.

Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.

Step-by-step explanation:

3 0
2 years ago
Simplify -13.5a+34.12b+65.5-32.5b-35.8a
4vir4ik [10]

Answer:-49.3a-1.62b+65.5

Step-by-step explanation:

Combine Like terms:

-13.5a-35.8a=-49.3a

-34.12b+32.5b=-1.62b

Answer: -49.3a-1.62b+65.5

5 0
3 years ago
Read 2 more answers
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