Answer:
Solution given;
<ABD=<BAC+<ACB
<u>Since</u><u> </u><u>exterior</u><u> </u><u>angle</u><u> </u><u>of</u><u> </u><u>a</u><u> </u><u>triangle</u><u> </u><u>is</u><u> </u><u>equal</u><u> </u><u>to</u><u> </u><u>the</u><u> </u><u>sum</u><u> </u><u>of</u><u> </u><u>two</u><u> </u><u>opposite</u><u> </u><u>interior</u><u> </u><u>angle</u>
26x+20=19x-15+9x+25
solve like terms
26x+20=28x+10
subtracting both by 10
26x+20-10=28x+10-10
Subtracting both side by 26x
10=28x-26x
2x=10
dividing both side by 2
2x/2=10/2
x=5
Now
<ABD=26*5+20=l50°
<u>T</u><u>h</u><u>e</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u><</u><u>A</u><u>B</u><u>D</u><u> </u><u>i</u><u>s</u><u> </u><u>1</u><u>5</u><u>0</u><u>°</u>
sin x= opposite / hypotenuse.
opposite=4
hypotenuse=5
sin x=4/5
x=arc sin (4/5)=53.13º
Answer: x=53.13º
Answer:
Mandy will take 67.5 mins to complete the 15 km race.
Step-by-step explanation:
Given:
Mandy runs 4 km in 18 min
She plans to run in a 15 km race.
We need to find how much time required to run 15 km.
4 km =18 min
15 km = time required for 15 km race
By Using Unitary method we get,
Time required for 15 km = 
Hence time required by Mandy to complete 15 km race is 67.5 mins.
the 1st one goes to 2 and the 2nd one goes to 3 the 3rd one goes to 1 the and so on
You put both parentheses in standard form, then divide as if it were a normal problem. Once the quotient is found, move the decimal point to the right. Every time you move one space to the left, increase the exponent by one but also divide your quotient by 10
example:
10³/10²
1000/100
10
10=