S=2(4x+2x)+4x^2=4x^2+12x
4x^2+12x=7
4x^2+12x-7=0
D=12^2-4x4x(-7)=256
X1=(-12-16)/(2x4)=-3.5 impossible
X2=(-12+16)/(2x4)=0.5
A
The value of t is (D) 55/9.
<h3>
What is an equation?</h3>
- An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =.
- The word equation and its cognates in other languages may have subtly different meanings; for example, in French, an équation is defined as containing one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign.
To find the value of t:
Given -
- (t+5)/(t-5) = 10
- t+5 = 10(t-5)
- t+5 = 10t - 50
- 10t - t = 5 + 55
- 9t = 55
- t = 55/9
Therefore, the value of t is (D) 55/9.
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Answer:
Statements Reasons
1. 1. Given
2. 2. Given
3. 3. Base angles theorem.
4. 4. Alternate interior angles.
5. 5. Alternate interior angles.
6. 6. Isosceles triangle theorem.
7. 7. Vertical angles.
8. 8. By SAS postulate.
9. 9. By CPCTC.
10. 10. Sum of adjacent angles.
11. is isosceles 11. Base angles theorem.
Given:
Measure of exterior angle = 164°
The measure of opposite interior angles are x° and 53°.
To find:
The value of x.
Solution:
According to the Exterior Angle Theorem, in a triangle the measure of an exterior angles is always equal to the sum of measures of two opposite interior angles.
Using Exterior Angle Theorem, we get
Therefore, the value of x is 111.
we know the center of the circle, and we also know a point on the circle, well, the distance from the center to a point is just the radius.