Answer: 80%
Step-by-step explanation:
To find the average, add all the grades and divide by the number of grades
sum of all grades/number of grades
85 + 100 + 88 + 80 + 95 + x/6
She wants to have an 88, so we can set the expression above equal to 88
448 + x/6= 88
Multiply by 6 on both sides
448 + x = 528
Subtract 448 on both sides
x=80
She needs to score at least an 80 to get an 88 average.
Hope this helped!
Answer:
1.375
Step-by-step explanation:
Answer:
6 mile/hour
Explanation :
Let the speed of walking of James = x mile/hour
speed of jogging = 2x mile/hour
9/2x + 1.5/x = 2
= > (9 + 3)/2x = 2
= > 12 = 4x
= > x = 3
Average speed of walking = 3 mile/hour
Average speed of jogging = 2 * 3 = 6 mile/hour
Answer:
PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom)
Step-by-step explanation:
<u>Given</u>: PG ≅ SG and PT ≅ ST
<u>To Prove</u>: ∠GPT ≅ ∠GST
<u>Proof</u>: PG ≅ SG (Given)
PT ≅ ST (Given)
GT = GT (Common)
∴ ∠GPT ≅ ∠GST (SSS Congruency Axiom).
<u>SSS Congruency Axiom</u>: If three pairs of sides of two triangles are equal in length, then the triangles are congruent.
<u>Congruence</u>: Two sets of points are called congruent if, and only if, one can be transformed into the other by an isometry, i.e., a combination of rigid motions, namely a translation, a rotation, and a reflection. This means that either object can be repositioned and reflected (but not resized) so as to coincide precisely with the other object. Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
