Answer:
Common difference of the sequence is -7.
Step-by-step explanation:
Given:
First term a = 5
Tenth term 
= -58
we need to find the common difference d.
Now let the number of terms will be 10 since tenth term is given;
Hence n =10
Now Using Arithmetic Progression formula we get;
Now Substituting the given values in the formula we get;
Hence Common difference of the sequence will be -7.
Answer:
The value of x is 28°
Step-by-step explanation:
Here, In a given fugue, a = 40°
We know that, A straight angle is an angle equal to 180°
So,
a + 2x + 3x = 180°
40° + 5x = 180°
Subtract 40 from both side
40° - 40° + 5x = 180° - 40°
5x = 140°
Divide by 5 from both side
5x/5 = 140°/5
x = 28°
Thus, The value of x is 28°
<h3 /><h3>
<u>FOR</u><u> </u><u>VERIFICATION</u><u> </u><u>ONLY:</u></h3>
<u>a + 2x + 3x = 180°</u>
40 + 2(28) + 3(28) = 180°
40° + 56° + 84° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknownScientist</u>
withdrew 1200
spent 1/5 on travel : 1/5(1200) = 1200/5 = 240
leaving her with : 1200 - 240 = 960
spent 2/3 on hardware : 2/3(960) = 1920/3 = 640
leaving her with : 960 - 640 = 320
320 - lunch = 300.50
320 - 300.50 = lunch
19.50 = lunch <==
The value of x would make the triangles similar by the SSS similarity theorem would be 30 . Option C
<h3>How to determine the value</h3>
The SSS similarity theorem of triangles holds that if the three sides of two triangles are proportional, then the triangles are similar.
If the two triangles are to be similar, we have that:
45/x = 75/50
Cross multiply
x = (45 × 50)/75
x = 2250/75
x = 30
Therefore, the value of x would be 30 . Option C
Learn more about SSS similarity theorem here:
brainly.com/question/4163594
#SPJ1
Answer:
2nd one
Step-by-step explanation:
