Answer:
LON and MLN are both equal to 126 degrees,
since the angles with the value '4x + 7' and '7x - 35' degrees are equal to each other, you can rewrite it like this:
4x+7=7x-35
now, take the 7x away from both sides:
-3x+7=-35
then, subtract 7 from both sides:
-3x=-42
now, divide both sides by -3:
x=14
now that we know the value of x (14), we can plug it into the expressions.
4(14)+7=63
7(14)=63
add them together to find the angle MLN
and since the opposite angle (LON) is equal to MLN, they both = 126 degrees
hope this helped :)
(8)=ones place
(1)0=tens place
(1)00=hundreds place
(9)000=thousands place
The "1" beside the 8, is the tenths spot so you would round that part of the number.
Therefore the answer would be:
9120
Answer:
m∠NSR = 113°
m∠RSP = 67°
Step-by-step explanation:
Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.
m∠NSR = ![\frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Barc%7D%28NR%29%2B%5Ctext%7Barc%7D%28PQ%29%5D)
= 
= 113°
Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]
113° + m∠RSP = 180°
m∠RSP = 180° - 113°
= 67°
Answer:
C. 10
Step-by-step explanation:
we know that
The height of an isosceles triangle divide the triangle into two equal right triangles.
so
Applying the Pythagorean Theorem at one triangle

solve for x


solve the quadratic equation by graphing
using a graphing tool
The solution is x=5
see the attached figure
therefore
The length of the base is
