Answer:
15% of 95-14.25
3 1/2% of 100-3.5
Step-by-step explanation:
Answer:
95 degrees
Step-by-step explanation:
since angles 1 and 4 are vertical angles, they are congruent
3x+10=4x-15
3x-4x=-15-10
-x=-25
x=25
x=25 degrees
angles 4 and 7 are supplementary due to them being alternate exterior angles
lets find the measure of angle 4:
4x-15
4*25-15
100-15
85 degrees
Now, lets find the angle measure of angle 7:
85+x=180
x=180-85
x=95
So, the angle measure of angle 7 is 95 degrees
Answer:
80 degrees
Step-by-step explanation:
This is a really confusing question with a really confusing answer. Basically, the 80 degree angle that they give us (Angle 2, I think) is equivalent to Angle 4, Angle 5, and Angle 3. I know that might seem really weird, but if you look closely at all the angles I just named, they all look like they are about the same measure. They are all slightly less than a right angle (90 degrees) and none of them are obtuse angles- they're all acute. Basically, the answer is 80.
And if I'm wrong, I am so sorry! I still sometimes get confused on these type of questions. Well, I hope its right and I hope that if it is, it was helpful! Have a lovely day!! :)
Answer:
m∠C=28°, m∠A=62°, AC=34.1 units
Step-by-step explanation:
Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.
As, cos(C)={15}/{17}
⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}
By angle sum property of triangle,
m∠A+m∠B+m∠C=180°
⇒ m∠A+90°+28°=180°
⇒ m∠A=62°
Now, we have to find the length of AC
sin 28^{\circ}=\frac{AB}{AC}
⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units
The length of AC is 34.1 units
Answer:
p^2 + q^2 = 22/9.
Step-by-step explanation:
For a quadratic function ax^2 + bx + c if the zeroes are A and B then
A + B = -b/a and AB = c/a.
2x^2 - 7x + 3
Now p and q are the zeroes of the above function so
p + q = 7/3 and pq = 3/2.
Now p^2 + q^2 = (p + q)^2 - 2pq
= (7/3)^2 - 2* 3/2
= 49/9 - 3
= 49/4 - 27/9
= 22/9.
