He has 415 to spend on a trip
25 for gas
415-25=390
He must spend 100 each day
390≤100d
3.9≤d
He cannot have part of a day so he can only spend 3 days
Solution: d=3
Answer:
FIGURE 1:
x = 118; y = 96
FIGURE 2:
x = 85; y = 65
Step-by-step explanation:
FIGURE 1:
You know that x = 118 because of the Corresponding Angles theorem.
Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.
FIGURE 2:
In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.
Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.
Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.
Answer:
your answer is A. 92.4
Step-by-step explanation:
Diagonal Length = v(92.4² + 50²)
V(8537.76 + 2500)
V(1037:76)
Diagonal Length 105
Answer:
Step-by-step explanation:
x^2 + 3x - 9 =0
By comparing with the equation ax^2+bx+c = 0,
we get,
a = 1, b=3, c = -9
we know the formula for x is,
x = (-b±√(b^2 - 4ac))/2a
x = (-3±√45)/2
x = (-3±3√5)/2
x = (-3+3√5)/2, (-3-3√5)/2
Answer:
45 degrees
Step-by-step explanation:
Think of it like this the sum of the angles in a triangle are the always the same 180 degrees.
So now, we do 180 - 90 = 90 this is the sum of the other angles.
We shall assume that they are the same and divide 90/2 = 45 degrees each
Ok here are some things to understand while solving!
- If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
- If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
- If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
- Without knowing at least one side, we can't be sure if two triangles are congruent. (which we do!)
Hope this helped!
Study hard!
