Answer:
x = 10
Step-by-step explanation:
the two angles shown are supplementary, they add up to 180 degrees
so we can write this equation to solve for 'x':
100 + 9x - 10 = 180
90 + 9x = 180
9x = 90
x = 10
Check the picture below.
bear in mind that since we have a radical in the denominator, we'd
rationalize the denominator to take it off the denominator.
If tall is completely dominant over short, then the mother's genotype is either TT or Tt. The father is short so his genotype is tt.
Crossing TT with tt produces only heterzygous offspring with genotype Tt. Then the genotypic and phenotypic ratios are 0 TT : 1 Tt : 0 tt and 1 tall : 0 short, respectively. As percentages, these would
• geno: 0% TT : 100% Tt : 0% tt
• pheno: 100% tall : 0% short
Crossing Tt with tt on the other hand produces offspring with genotype either Tt or tt with equal probability, so that the geno and pheno ratios are 0 TT : 1 Tt : 1 tt and 1 tall : 1 short. As percentages,
• geno: 0% TT : 50% Tt : 50% tt
• pheno: 50% tall : 50% short
Answer:
Slope is 3/-7
Step-by-step explanation:

Answer:
3a) The value of x = 56
3b) The measure of ∠ H T M = 90°
3c) The radius of the circle = 53
Step-by-step explanation:
3a) ∵ A F is a tangent to the circle O at point F
∵ Secant AH intersects circle O at point T
∴ (A F)² = (A T)(A H)
∴ 7( x + 7) = (21)² ⇒ ÷ 7
∴ x + 7 = 63
∴ x = 63 - 7 = 56
3b) ∵ HM is a diameter
∴ The measure of the arc HM = 180° ⇒ semi-circle
∵ ∠ H T M is inscribed angle subtended by the arc HM
∴ m ∠ H T M = half the measure of arc HM
∴ m ∠ H T M = 180° ÷ 2 = 90°
3c) ∵ Δ H T M is a right angle triangle at T
∴ (H M)² = (M T)² + (H T)² ⇒ Pythagorean theorem
∴ (H M)² = (90)² + (56)²
∴ (H M)² = 11236
∴ HM =
= 106
∴ OM = 106 ÷ 2 = 53
∵ OM is the radius of the circle O
∴ The radius = 53